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I 

06lfft'IBBN'f IAL 

Report on SCAMP 195 3 

to the 

Director 

of the 

National Se~urity Agency 

Subllll.tted by 

Stewart Sa Cairns 

1 September 1953 

CONFIDENTl2i\L 

·Qeclassifi ed and approved for release by NSA on 02-10-2014 pursuantto E .0. 1352a 
I 

Report on SCAMP 195.3 

TABI.E OF CONTENTS 

Section Title 

1. Purposes of SCAMP 

2 o Background of SCAMP 195.3 

.3., Preparatory work 

4o The SCAMP session 

5. Recommendations for the future 

Appendices 

I. Participants, with dates of participation 

II. Budgetary data 

III. Expository material distributed to members in advance of 

SCAMP 1953 

IV. List of SCAMP conferences 

V. List of related lectures 

VI. List of SCAMP reports and papers 

VII. Copies of SCAMP reports and papers 

VIII. Miscellaneous selected correspondence and other records 

IX. Research accomplishments of SCAMP 

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CjN M~N'Pfl .ft:IJa:cuRIT t INFORMATION 

69f3FlliiN!Itii 

Report on SCAMP 1953 

1. Purposes of SC.AMP. 

The purposes of the proJ ect known as SCAMP, which held its first 

session in the swnmer of 1952 and its second in the summer of 1953 are 

a.. To support research in computational aspects of discrete 

problems related to the l.Ilterests of the National Secur:Lty 

Agency 

b. To educate a group of competent cleared mathematicians lJl 

mathematical problems and techniques applicable or potentially 

applicable to NBA problems. 

Mathematical interpretations of certam practical problems of the NSA 

are closeq inter-rel.a ted with a number of current4r studied research I 

questions in pure mathematics.. The relationships are so close that, 

on the one hand, mathematicians wiacqua.inted with NSA problems may well 

develop methods contributing to their solutions and, on the other hand, 

mathematicians workl.llg direct]¥ for the Agency may achieve results of 

pure mathematical interest. It was in the hope of capitalizing on this 

situation that the NSA undertook to sponsor SCAMP. The Agency stands 

to benefit not o:nly from the lllllUecb.ate products of SCAMP, but also f:rom 

the creation of a pool of cleared, informed and higb4r competent mathematicians who may later render valuable service., 

Another merit of the SCAMP program is the opportunity for NSA 

I 

mathemati.cians to associate prof esSJ..onal4r with outsiders working on 

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60NFIBBH'fIAI:i 

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related problems. In a recent discussion, Dr. J. We7l of the ONB. drew 

a contrast between •monastic and secular• mathematics, which fits the 

present situation much better than the usual dichoto~ into 1 applied 

and pure 1 mathematics. !o some extent, .Agency personnel must lead a 

monastic life. Jor the sake of their effectiveness, however, as well 

as for their personal and professional welfare, it is extremely im-

' 

portant to provide for the type of outside collaboration involved in 

SCAMP, thus lessening the dangers (1) that they will pursue their own 

Agency research without capitalizing on closely related •secular• 

mathematics and (2) that their work will be more or leas stultified for 

lack of the stimulation which comes from a wide variety of professional 

contacts. As already mentioned, the important mathematical problems 

of the .Agency are closely intertwined with unclassified current 

research. It was therefore possible for the members of SC.ARP with incomplete clearances to make valuable contributions to the program, and 

active cooperation with non-members was found useful in the writing of 

a paper on finite projective planes by Hoffman, Newman, Straus and 

Taussky. In connection with the likewise unclassified assignment 

problem, Mr. De Jrancesco of the BSA presented a conference paper making 

use of earlier work by von Baumann and by Gleyzal. This problem is 

highly relevant to some of the .Agency's practical interests. In fact, 

its solution is employed in one of Tompkins 1 attacks on the so-called 

10 x 10 x 70 problem, and this, in turn, is a direct mathematical 

interpretation of a type of continuing operational problem vitally 

important to the Agency. !l'he status of the 10 x 10 x 70 problem is 

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F(l)N fiM)Jl:~·l1\~cURffY INPOIUth'l'ION 

COlli'IH1'W. 

further discussed in Section 4 below.. These are but a few of the many 

J.11.ustrations which could be cited to reveal the value accruing to the 

Agency from contacts at SCAMP between NS.A personnel and outside ma.thema tic ians .. 

Attention is also called to Appencb.x v, where open lectures are 

listed which took place in the Los Angeles area during the SCAMP 

session and which were close:cy related to our interests .. 

2o Background of SCAMP 1953 

A fairly detailed account of the first SCAMP symposium is afforded 

by the "Report. on SCAMP to the Director of the Amed Forces Security 

Agency11 (Confidential) submitted by Stewart So Cal.ms, 8 September 19520 

On 14 August 1952, the Director of the Armed Forces Security Agency 

(which has since become the National Security Agency), visited SC.AMP 

and conferred with the available members of the Special Communications 

.Advisory Group, namely: S. So Cairns, H. Po R.obertson and C. B .. Tompkins. 

These three J Ol.Iled in recomm.endu1g that the Agency sponsor a second 

SCAMP symposium at the Institute for Numerical .Analysis in 1953 and 

that work be continued there on a reduced scale durir.ig the acadel111.c \ 

year 1952 ... 53, partly in completion of unfinished irwestigat1ons and 

partly in preparation £or later efforts. These recommendations W"'re 

accepted a 

After mquiring into the availability and w'tl.lingness to serve of 

a numbet" or possible chall'IllSll for 1953, and after seeking adv11...e from 

various persons connected with SCAMP, the 1952 chall'Ill8n 3 s .. So Cauns 3 

CON FIDENTI1\L 
recommended that .Professor Go Ao Hedlund of Yale University be asked to 

assume the responsibility for 1953. His clearance was not completed 

until some time during the fall,, and, when he was then approached, it 

turned out that he was unavailablP.. According]Jr, to avoid the delays 

resulting from a further search, the 195 2 chai..nnan agreed to serve 

again in 1953. 

The work of the chairman has been great.cy alleviated Q as compared 

with last year, by the establishment of an executive secretaryship and 

by the services lll that position of Dr .. !Dwell J. Puge of the UCLA 

Department of Mathematics • 

.3. Preparatory work. 

The preparation for SCAMP 19.53 can be analyzed mto the following 

categories: 

(a) Budgetary negotiations 

(b) Clearance procedures 

(c) Personnel negotiations 

(d) Arrangements for facilities and services on the UCLA. cmnpus 

(e) llannir..g the research program. 

These five processes will be separately discussed, although all of them 

were, of course, si!IIllltaneously in progress. 

The budget for SCAMP falls into the f'ollmnng parts: (1) Salaries 

and travel expenses, (2) Computational expenses, (3) Overhead and 

(4) Miscellaneous. The total a1location for 1953, together with a 

I 

rough breakdown,, was determined in discussions among (1) the Director 

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CtjNilitBEN~M1-cURffY INPORMA~ION 

90lt.FIBEIN'f lili 

of the National Security Agency and various members of his staff_, 

(2) Dr. John H. Curtiss and Dro Ca Ba Tompkins (representing the 

National Bureau of Standaros and the Institute for Numerical Analysis), 

(3) Dr. Mina Rees of the Office of l'laval. Research and (4) the chairman 

of SCAMP. The discussions centered largely about the extent of the 

computational program, since there was general agreement from the start 

concerning the other parts of the budget. It was final'.ey agreed that 

some computations would be prepared in advance at NSA and INA for 

educational purposes, since many of the participants were relatively 

unfamiliar with this aspect of the work, and that, for the rest 3 computations resulting di.rect:q from the SCAMP program would be ca.med out 

on the spot, except in the case of possible long-range procedures which 

it might be deemed advantageous to transfer elsewhere. 

contains tabulated budgetary data. 

Appendix II 

For the record, it should be noted that a number of compll.cations 

connected with funds arosej even after agreement ha.d been reached on 

the budget. These complications, which at times appeared to threaten 

the very existence of SCAMP, or at least its intended location, were 

largely connected with new:cy- :imposed obstacles to the transfer of money 

between government agencieso There were dangerous delays in the official 

approval of the necessary tl"ansfer 9 which final.J;y took place JUst in 

tJ.ID.e 3 thanks to persistent efforts by personnel of the NSA, the ONR and 

the Institute for Nwnerical Analysis. Since the INA is part of the 

National Bureau of Standa.rds, difficulties were also encountered in 

60HFIBE!i'f Iil 

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OON.FIB.SNTl/J. 

hiring SC.AMP mmbers in various Civil Service categories. Some of 

these difficulties arose from the need to establish positions in spite 

of an announced freeze on Civil Service appointments, and some from 

efforts to arrange for suitable stipendso In order to attract desirable participants from academic institutions, it appears necessary to 

figure their compensations at a monthly rate of about one-nmth their 

academic salaries, plus enough to compensate or partly compensate for 

the summer rental they must pay a In certain cases, th::i.s took us out 

of the highest available Civil Services ratl.Ilgs and necessitated contracts direct]¥ with the UCLA. In other cases,, negotiations to determine Civil Service salaries involved administrative efforts inappropriate to a two-month research proJect a Appendix II contains some 

material relating to these complicationso 

Clearances presented other problems, some arisl.Ilg from the need 

for two types of clearance (one for the NSA and one, a loyalty check, 

for the Commerce Department when Civil Service appo:mtments were used) :1 

and others arising from the length of tl.Ill0 required for clearance procedureso The double clearances were a source of annoyance both to 

prospective SCAMP members and to administrative personnelo As for the 

tJJ11e element, it was decided, since several months more were available 

for planning than in 1952, to run the proJect at a secret level, 

instead of the confidential level of last year 3 and to try to secure 

adequate clearances for al1 participants before the session. It was 9 

however, necessary to make comnn.tments in several ca~es before clearance procedures couJ.d be completed, since otherwise several of the 

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CiN PFDEN\!tt\1-cuRff1· 1NP01tMA'fION 

GE>NF:r:Jai'fill 

' 

most desirable prospects would have made alternative arrangements for 

the summer. In the one case where defin:J_te clearance difficulties · 

arose in advance of the session, the prospect's salary was carried on 

the budget because of the commitment, but his services were donated to 

the INA on open problems not associated with SCAMP, and his office 

space was in a different building from the SCAMP officeso In the few 

cas.es where clearances were st.ill pending when the session started, the 

participants worked on open problems associated with SCAMP but were, 

of course, not given aqcess to classified information until their 

clearances were completed. 

With respect to selection of personnel, the chairman. drew upon 

the experience of the previous year and upon the opinions of all ~hose 

whom it seemed appropriate to conSlllt in preparing a preliminary list 

of possible participantsa He then ~pproached the prospects with an 

exploratory letter (See Appendix VIII) which, for security reasons, 

was somewhat vague concerning the ultimate purposes of SCAMPo As soon' 

as a prospect showed definite interest in participating, the respons~­

bility for financial negotiations was taken over by "llr. Iowell :Paige, 

who entered upon a part time Civil Service appointment on 1 Jan. 1953, 

in order that he might devote the necessary time and energy to preparing for the symposiumo Those who finally participated, with the dates 

of their participation, are listed in App"endix I. A list of those who ~ 

. . were approached but, .for various reasons, did not eventual~ join 

SCAMP is included in Apprndix VIII. 

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' 

During the few months immediately preceding the SCAMP session, the 

. ' 

Executive Secretary was occupied not only with personnel matter.s but 

also with arrangements for sui~able facilities and services on the 

UCLA campus. This included the securing of office space, a conference 

room, telephone services, a safe file, various office supplies, a 

cleared secretary, multilith operator and certain computer personnelo 

In performing these exacting tasks, Dro Paige had the cooperation of 

Professor Magnus Hestenes, chairman of the UCLA Mathematics Department 

and Dr. C. B. Tompkins, representing the INA. 

In 1952, the research centered large]¥ about the existence problem 

for finite projective planes, although a number of participants 

occupied themselves with other problems of interest to the sponsor. 

This restriction or attention was part~ a device for concentrating 

the effort.a of the group, in the hope of effecting definite advances 

in a particular area, and was part)¥ a consequence of the relatively 

low security level of the symposiwn, which wouJ.~ have interfered with 

the motivating of a wider class of problems. With the prospects of 

running SCAMP 1953 at a security level of secret, one notch higher 

than in 1952, it became·possible to broaden.the official interests of 

the pr~ject. The general outlines of the research program were a subject of deliberation, consultatioR and correspondence from the time 

-

that SCAMP 1953 was first suggestedo By the spring of 1953, plans had 

crystallized to' the point where a tentative scheduling of lectures and 

conferences became possible. On 13 June, this scheduling was accomplished at a conference in Washi~ton of Dr. R. A. Leibler (Chief of 0 

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CONFIDENTIAL 
the Mathematical Research Division of the NSA) 9 Dr .. Mina Rees of the 

ONR, Dr. C. Bo Tompkins of the INA and Dro So So Caμ,is as chairman 

of SCAMPo The plans included 

ao The preparation of some relevant computations for the education 

of the participants. 

b. The scheduling of classified conferences at which NBA-personnel· 

might inform the members of SCAMP about certain problems of 

the Agency, so as to clarify the relationship of the SCAMP 

program to such problems and to enhance the probability of . . concrete contributions to their.solution. 

Co The scheduling of a series of open lectures on computational 

methods and equipmento 

A· useful source of background information for the participants was an 

expository paper, "Finite Projective Flanes", (Appendix III) containing 

the principal unclassified resu~ts of the 19.52 symposium.. This was 

distributed in advance of the sessiono 

4o The SCAMP sessiono 

The official dates of the SCAMP session were the months of July 

and Augusto Dates of actual participation by the members are given 

in Append:ix I. 

The following tabulation reveals the breakdown of the SCAMP member---· 

ship as far as specialized duties are concerned:· 

Chairman:: S. S. Cairns 

Principal representative of the NSA: 

l July - 31 July: R., A. Ieibler 

3 August - 31 August: H. Ho Campaigne 

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CONFIDEN'FIAL 
IJEIDE:N-,, 'J¥.a: ~CURft'''l INPOltMATION 

Executive Secretary: Lo Jo Paige 

Supervisors of computing: 

C .. Bo Tompkins 

Ho Fo De Francesco 

Advisers on programming and coding: 

H. F., 1le Francesco 

Ao J., Hoffman 

Mo Newman 

. J., J .. Wolf 

Participants from the NSA not listed above:· 

J., Jo Eachus 

Wo Ho Erskine 

0., S .. Rothaus 

Lo W o Tordell.a 

General participants~· 

A .. A. Albert 

Ro H. Bruck 

K. Ao Bush 

Wo R ... church 

R. P .. Dilworth 

Ao Mo Gleason 

R. Ao Good 

D • W.. Ha.'.!-1 

Mo Hall, Jr., 

J. Co Koken 

G. Pall 

W. A. Pierce 

A .. Eo Roberts, Jr. 

Librarian (in charge .of files): 

Lo L., Walters 

Secretary: 

Ao Oates (resigned 31 July). 

During the first two weeks of the session, Dr.. Mina Rees of the 

ONR visited SCAMP in order to become familiar with its objectives and 

activities .. 

As the work of the project progressed3 a number of changes were 

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CONFIDENTIAL 
made in the previously planned programe Several dates were shirted,, 

resulting in a concentration of m0st of the· expository lectures toward 

the beginning of the symposiumo The principal change,, however,, was 

the omission of a planned series of lectures on engineering aspects of 

computers,, intended to suggest the potentialities of special purpose 

equipment ,for particular types of problems o The decision to omit,, 

reached after the session started, was based on (1) the feeling by · 

many members that there was already a sufficiency of scheduled lectures,, 

(2) the relatively small interest of most participants in the technicalities. of computiJ:lg equipment and (3) the fact that a nwnber of 

speakers would need to be invited from a distance in order to carry 

out the proposed plan for the few W1 o were interested., 

Appendices IV. and V give the schedule of conferences and lectures 

which actually took placej including those planned in advance and some 

which grew from the work of SCAMPo. 

The accomplishments of SCAMP are part]¥ revealed by the co~lection 

of reports and papers listed in Appendix VI and collected in Appendix 

VIIo A unified exposition of scientific activities and results will 

be submitted as Appendix lX,, which can be 8:dequatel;y" prepared only 

after the accomplishments of the several participants have been carefully studied in relation to the.purposes of SCAMP~ Professor Ro Fo 

Dilworth has agreed to write this account. 

It should be emphasized that the.work of SCAMP 1953 is not yet 

complete 3 especially with regard to those problems which involve 

machine computation. The programming of these problems was s:> 

CONFIDENTIAL 
time-consuming that most of them were ready to run on SWAG only towa.t'l~ 

the end of the session. Hences most of the money a,vailable for computing will be expended betwe~n now and J'llll.ei1 1954.. The so=·called 

11 10 x 10 x 70 problem" 9 should be particularly mentionedj' since the 

rest of this report, appendices includedj would otherwise not reveal 

the effort which has gone into it.. As stated in Section 1 above 9 this 

problem directly fonnulates a type of operational problem of continuing 

concern to the Agency. Dre Co B. Tompkins, with the aid of assistants» 

has developed two serious attacks on it and has brou~ht them to a point 

where the SWAC machine can soon be used. One attacks the "gradient 

method", was programmed during the SCAMP session by Mr. Henry De Francesco. 

The other, in which permutations of order ten are systematically tested 

and can be rejected in large sets., is being programmed by Mr. Jay Wolf. 

5. Recommendations for the .future .. 

The two-fold mission of SCAMP, as set forth in Section 1 above, 

is of such a nature as to suggest a continuing prqject ~ since the 

sponsoring Agency will presumably ahrays be confronted with difficult 

discrete problems open to computational attack and will therefore continue to benefit from stimulating the interest of research mathematicians 

in such problemsa The experience gained from the .fi.rst two sessions 

of SCAMP leads the writer to make the following recommendations~ 

Io That further SCAMP sessions be sponsoreda primariJ¥ as summer 

proje~ts~ but with activities on a smaller scale between 

sessions, so as to avoid discontinuities in the work ~nd to 

eONPIBEM'fIAL 

CONFIDENTIAL 
facilitate preparations fo~ successive summer se9sions. 

II. That the National. Security Agency9 if it accepts Recormnenda= 

tion I, make an early sta~ement of intent, specifying an 

intended loca·tion so that preparations for the next session 

I 

can be efficiently madeo 

IIIo That the Institu~e for Nwnerical Analysis be 'designated as 

the ~ntended location for SCAMP9 provided suitable a~rangeme.nts can be effected. The INA is on the campus of the 

University of Cali,fornia at Los Angeleso Adequate computing' 

equipment is there combined with good quarters and good 

security facilitieso Furthermore, the Los Angeles area has 

developed into a summer mathematical center9 so that NSA 

mathematicians can benefit from a wide range of professional 

contacts (see Seco 1 above) 9 and outside mathematicians can 

readily be interested in the prospect of becoming members of 

SCAMP a 

IVo That SCAMP be run on the basis of an ONR contract with UCLA~ 

since the INA is to be transfer.red to UCLA from the National 

Bureau of Standard.so This will obviate most of the extran~ 

eous difficulties detailed in Section 3 above: double 

clearances, transfer of .fundsJ> establishment of Civil Se!'V'ice 

positions, and determination of salaries$ 

Vo That a deadline for clearances, 1 April for example, be 

established:> wi t.h the understanding that. a. participant wil.l 

be led to expect no commitment if the deadline passes 

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without his cleara."lce being completedo Even if the future of 

SCAMP remains doubtful, clearances might well be promptly 

initiated, say by 15 Octoberll for a list of desirable prospects. A number of such clearances have already been completed or are in progresso 

VI. That the administrative organization of SCAMP 1953 be 

followed,, with such improvements as experience may suggesto 

Among the essential features is the ·existence of a chairman 

with deputies for administration and for computing.. The 

first, called the Executive Secretary a should be a member of 

the host institution and should be active on a part~time 

basis during the preparatory phases of each session in order. 

(1) to conduct financial negotiations with prospective participants after they have indicated to the chairman an 

interest in the project and (2) to make arrangements f'or 

facilities, supplies and services at the host institut~ono 

The deputy for computing, with such assistants as appear 

necessary, shquld be responsible for ensuring that pro~lems 

which involve the use of high speed computing equipment are 

appropriate and properly prepared. Another essential featUl"e 

/ 

is the representation of the NSA by persons well qualified 

to clarify its problems and to render ~vice and assistance 

to those who are relatively llllf'amiliar with such problems., 

The representation of the Agency and the spec:di"?-c contributions of its participants have been extremely va.luabla during 

, 

the sessions of 1952 and 19530 

QQ!IF:EYEN'PIAL 
VII. That Dro Mina Rees, formerly Director of the Mathematical 

Sciences Division of the ONR, now Dean of the Faculty at 

Hunter College, be invited to serve as SCAMP chairman for 

19540 

VIII. That the totai budget for the 1954 session be set at 

$70~000, as in 1953. This amount has proved adequate but 

not excessiveo 

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CONFIDENTIAL 
_ ~~CUftffY INPORM-A'l'ION 

Appendix I 

Participants, with dates of participation 

Albert, Ao A., University of Chicago 

1 July - 28 August 

Bruck, R. H., University of Wisconsin 

1 July - 28 August 

Bush, K. A., University of Illinois 

1 July - 28 August 

Cairns, 5. S., University of Illinois 

1 July - 28 August 

Campaigne, H. H., National Security Agency 

3 August - 28 August 

.... 

Church, W. R., u. S. Navy Postgraduate School 

1 July - 21 July 

De Francesco, H. F., National Security Agency 

17 June - 31 August 

Dilworth, R. 1., California Institute of Technology 

1 July - 28 August · 

Eachus, J. J., National Security Agency 

22 July - 28 July 

Erskine, W. Ho, }Jational Security Agency 

27 July - 1 August 

Gleason, A. M., Harvard University 

-1 Augll:st - 28 August 

Good, R. A., University of Marylard 

1 July - 28 August 

Hall, D. W., University of Maryland - 15 June - 28 August · 

Hall, Marshall, Jr., Ohio State University 

1 July - 23 July 

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COMPIBEN'I'IAL 
COJB'IBB!I:it 

Hoffman, A. Jo, National Bureau of Standards 

1 July - 28 August 

Koken, J. C., University of Illinois 

28 July - 28 August 

Leibler, R. A., National Security Agency 

1 July - 31 July 

Newman, Morris, National Bureau of Standards 

1 July - 20 Augu.s t 

Oates, Mrs .Anne, Institute for Numerical .Analysis 

1 July - 31 July 

Paige, L. J., University of'California at Los Angeles 

1 July - 28 Augu.s t 

Pall, Gordon, Illinois Institute of Technology 

1 July - 28 August 

Pierce, V. A., Syracuse University 

5 July - 28 August 

Rees, Mina, Office of Naval Research 

1 July - 19 July 

Roberts, Ao E., Jr., Engineering Research Associates 

23 July - 7 August 

Rothaus, o. s., National Security Agency 

1 July - 28 August 

Tompkins, c. B., Institute for Numerical A.nal.yais 

1 July - 28 August (also during preparatory phases) 

Tordella, L. W., National Security .Agency 

1 July - 15 July 

Walters, Mrso Laura L., National Security Agenc;y 

30 June - 28 Augu.s t 

Wolf, Jo J., Logistics Research Project, George Washington University 

17 Augu.st - 28 August 

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Appendbc II 

Budgetary data 

Note regarding financial accounts 

Details of actual expenditures during the session are being pre-

' ' pared and should be available for addition to this appendix by 1 Octobero 

There will still remain an unexpended balance to be used for c;:omputa- , 

tions growing directly from the SCAMP programo 

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Appendix III 

Expository Material Distributed to Members in Advance of SCAMP 1953 

Finite Proj~ctive Planes, L. Jo Faige and M. Newman, June 1953. 

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CONFIDENTI:A:L 
/ 

No. 1 

No. 2 

No. 3 

No. 4 

No. 5 

"No. 6 

No. 7 

No. 8 

No. 9 

No. 10 

No. 11 

No. 12 

No. 13 

Appendix IV 

List of SCAMP Conferences 

On Wired Wheels I. Marshall Hall, Jr., 2 July·1953. 

On Wired 'Wheels II. Marshall Hall, J·r., 3 July 1953. 

On Wired Wheels IIIo Marshall Hall, Jr., 6 July 1953. 

Quartic Function Problem. C. B. Tompkins, 8 July 1953. 

Problems of NSA. 1. w. Tordella, 8 July 1953. 

Problems of NSA. ·L. W~ Tordella, lO July 1953· 

Problems of NSA. R. A. Isibler, 15 July 1953. 

Problems of NSA." R. A. Leibler, 17 July 1953. 

Wired wheel Froblem. W. R. Church, 24 July 1953. 

The Optimal Assignment Problem. H .. F. De Francesco, 

1953. 

Problems· of NSA. W. Ho Erskine, 29 July 19530 

27 July 

Matrix Projection Methods. A. E. Roberts, Jr., 30 July 1953. 

Cyclic Structure Problems. s. s .. Cairns, 5 August 1953. 

' . No. J.4 Method for Finding Irreducible Po1ynomials over a GF(p). 

J.C. Koken, 7 August 1953. 

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Appendix V 

I 

List of Related Lectures 

Ao INA lectures 

lo Program.ming for discrete variable problemso D. Ho Lehmer, 

8 July and Emma Lehmer, 13 July 

2o Coding for SWAC. E. C. Yowell, 7 July and 9 July. 

3. Abelian difference setso R. H. Bruck, 10 July. 

4. Some properties of finite projective planeso Gordon Pall, 

13 July. . 

5 o A continuous method in a discrete problem. Lo J. Paige, 

20 July. 

6. Projection methods in discrete problems. A. Eo Roberts, Jro, 

28 July. 

\ 

7. A continuous .manifold of quasi-solutions to a discrete problem, 

C. B. Tompkins, 4 ~ugust. 

8. On proper solutions of the incidence equation for finite · projeqtive planes. A. A. Albert, 11 August. 

B. American Mathematical Society, :Sixth Symposium in Applied Mathematics, held in Santa Monica, 26-28 August 1953. 

1. "Application of automatic digital computers to problems with _ discrete variables", C. B. Tompkins 

2. "Computational aspects of c,ertain combinatorial problems", 

R. H. Bruck 

3. 11 ~he assignment problem", T. S. Motzkin 

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,[ 

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QQDID?NIHA 

f?PN ffD~N?f'!D.A: ~Sl!lCURffY INPORMA-'fION 

Aj,pendix VI 

List of SCAMP Reports and. Papers 

Some Theorems on 11ni. te Projective Planee £ Gordon Pall 9 13 Jul;v 19S:o 

Some Simple Properties of the Incidence Equation 9 A. A. Albert 9 

21 July 1953 

A Note on Steiner Triple Systems 0 R. H. !ruck0 27 July 1953 

Counting by Means of the Trace 9 A. J. Hof'fman 0 27 July 1953 

A Set of Conditions to Characterize an Incidence Matrix of a 1PP0 

Gordon Pall 9 28 July 1953 

II 

Third and Fourth Order Bational Orthogonal Matrices with Bow and 

OolUJlln Sums UnityD R. A. Good and D. w. Hall. 31 July 1953 

On a Theo:rem of Co:nnor 0 .1. J. Hoffman, 5 August 1953 

The Orthogonal Mul tiplie:r for Ba~ional Incidence Matrices p R. A. Good 

and D. W. B.all 9 10 Aug-.J.iat: 1953 

On Proper Solutions of the Incidence Equation (Prepublication Copy) 9 

A. .A. Albert 9 11 .Au.gu.st 1953 

Further Remarks on Corr·e1.~1;1ons 0 A. J. Boffman 9 M. Nevmanp E. G. Strails 

and o. Taussky 0 ll .Auguii;< 1953 

Difference Sets in a Fin:l::·ii! Gro':lp (Prepublication Copy) 0 R. H. :Bruck0 

19 Augu.at 1953 

Coordinate Systems fo1· Finite Planes 0 Wo A. Piercu 9 21 A:a.gu.at 1953 

On Koken 8s Method for Ch6.mcing Irreducibility0 A. M. Gleason 9 

24 August 1953 

llational Orthogonal Matrices with Row and Column Sums Unit.y 0 B.. Ao Good 

and D. W. Hall 9 25 Augu.~~ 1953 

Orthogonal Matrices and th.e Incidence Matrix9 IC. A. Bush 9 25 Augu.et 1953 

-lfa.,Ppings 0 ~anced p Designs p ar..d Orthogonal Arrays 9 X. A. Bush 0 

28 .Augilst 1953 

Asymptotic Formulas for the M~a.u and Standard D&viation of the Maxl!lrJ.m 

of a Sample from a No!''llal l?o:pulaticn~ R. P·o Dilworth 0 28 August 1~53 

- VI<l. -

CONFIDENTIAL 
The following were written independently of SO.AMP and were reproduced 

for the information of participantsg 

Orthogonal Matrices of .Modular Polynomials 0 J. L. Brenner 

Invariants Under Ratio:cal. Linear Transformations 0 Oh.apter 4 0 

Gordon Pall 

The .Rational Representation of Numbers~ Chapter 6 0 Gordon Pall 

Rational Representation of Forms by Formsp Chapter ?p Gordon Pall 

- VI-2 -

CONFIDENTIAL 
<ii3N P.lDE>N':f i°fi:WECURHY INFORMA'f'ION 

Appendix VII 

Copies of SCAMP Reports and Papers 

- VII-l -

CONFIDENTIAL 
Appendix VIII 

Miscellaneous Selected Correspondence and Other Records 

- VIII-1 -

CONFIDENTIAL 
Appendix IX 

Research Accomplishments of SCAMP 

- IX-l -

CONFIDENTIAL 
REF ID:A71806 

• 

NSA Participants for SCAMP - 1953 

Dr. H. H. Campaign.a NSA.-30B 1 month 

Henry F. De Francesco 34 ~ month• 

Dr. R. A. Leibler 34 l month 

Oscar s. Rothaua 34 2 months 

Dr. Louis Tordella 34 2 weeks 

Mre. Laura L. Walters 34 ~month• 

Dr. J. J. Eachus JOG 2. weeks 
REF ID:A71806 • 

Non-RSA Participants for SC.AMP - 1953 

A. Adrian .Albert, University of Chicago 

R. H. Bruck, University of Wisconsin 

K. A. Bush}, University of Illinois 

Stewart s. Cairns, (CHAIBMAN), University of Illinois 

Randolph Church, U.S. Naval Postgraduate School, Monterey, Calif. 

A. H. Clifford, Johna Hopkins University 

w. s. Connor, 

R. P. Dilworth, California Institute of Technology 

A. M. Gleason, Harvard 

.a. A. Good, University of Maryland 

D. w. Hall, University of Maryland. 

A. J. Hoffman, National :Bureau of Standards 

v. L. Klee, University of Virginia 

J. c. Koken, University of Illinois 

Morris Newman, National :Bureau of Standards 

L. J. Paige, (EXECUTIVE SECRETARY), UCLA 

Gordon Pall, Illinois Institute of Technology 

A. :m. Roberts, Jr., Engineering Research Associates 

c. :s. Tompkins, Institute for Numerical Analysis, ims