"" :.:.. __ P - - - -

cEeuR1rv-rNrnRMAT10N GMFIBfffl!t.65921_ •• t - . ~ .. " l 9 I 11 l I I II J ,J * f; 

ltm~Alal 

!Os Chiet, I • D 

1-11e.-t vVr A.'J 

y ~.l'· ;,:J ............. , 

Math. DlTltiOJl 

l. !he poallbtl1'7 of 0011.t:rac\inc tor 'ba1le mth4tM'laal 

r••ea.roh on. orn'olactc p.roble•• vat 41aouee4 a\ \hit la1\ 

ICAG ••tine. A. •umrcal'7 ot 'be new• ot t!w Ma~h. Dly. are 

ctMn here. !he• oo••r tbne po1n.t11 oon.\ra.o'• .&l.r1a47 let, 

•ul:tJec\• n.i\able fer tur•!Mtr coatmct.1, an4. pe•en.H.al oon-

•rao,ar1. the ll•t of proble11e eertaiftl7 could. 'be enen.484, 

d.4 tho ton:&ulfttlou llhoul4 a. extenaiTel7 nwork:e4. the 

litt of oon.tb,CtoJ'• t• \he r••ul' ot conver1&t!on• with 

Yom;pk1na1 Toa •81JD8.Dll• and other•. 

1. the ArM-4 :rorn• Seov1 '7 .&cenc7 ba• alreatb" let co11tru\1 lo~ •\h•ma.•1~ n11::.rcb. 

a) :lro~ki,n Coll-C• ha• oontraot•4 vt'h u1 (although QIR 

·1. \eohntoall1 t~ oontrao\o~) •o .a.tnl•ter i-e1earoh . "b. ao•'btna\~ »ro'bl••• (I.a.ti.a eq,ue.r••• cUMra,1on ot 

··tfl.\1\l•ui.011•1 ol.aw.tfS,o•U.m of .aub•,t•utton• by 

,.r&lllll1mtf •to .. ). rue pl'OJec• i• •up•nlae4 'b;r 

·1rot. ltacer. Iha contract l• new an! Prot. llnc•r i• 

~a.o'l 1•\ tul.17 oleo.reclt however. 1ome spec1f'1ct problema 

··haft been pi-eeente4 and 10.me re•Ul.'' •n aen. r1c.t1"ftlA. 

~) Under a o011.\r&9t •ltb QIJ. l'an.tord Un1Teral'7 a4Mtn11ter1 .. • Jl'OJ•o' in •\aU•Uoe, Prof'. lb•1oh!ck la obal'ge. th11 

~ .. IOn\rao' w.• lttU1a\e4 by on wt thout oo•' to ow acae71 

al1ihoUC)l l\an:f'ord a...otea muoh at the Umo to our pro- . -=1'1••• and have Mn\ a nUllbe~ of :pe:per1 on n.bJec\• of lu-

.\•ff•\ to u, . . .... '--! •· 

t} __ A.D."!1&\108 it ., ~3•ct apon1ored bJ' tba .A.rmed lorce1 

'1eou1,, Acen.07, (a«ain. vith on •• fl•cal agent) at 'h• 

"-·:Va!Ttta1'1 of Illinota \o •~'W17 cycle •'ruct\11'81. !b.S.• 

_ »rcJeot va• tomerl1' •' l,racu1e UniTer1U7 but wa• 

:."'B'fi4 when it• tr0n.1or1 Prof. Ca.trn11 "-"•' to llU.aol1 • .. llN.7 naul ta ha.Te been ao!dned vbtch ha•• proved Tr&l uable in the &den of our own CZ'JPtograpJalo •111\e!ll1, t:a. 

»a:rUeular 'be XoJcen rnle o'f aoUon. 

Declassified and approved for release by NSA on 04-15-2014 pursuantto E .0. 1352a 

-· 
REF--rn_:A.65921 

?EPURITY 1p•-rqPMATIA~' ee~;-r Ei ~TIAL 

8 la:a:os:q l.1153 

4) Pro.teot 8VICA!D m• for tt1 o\Jea\ 'lut Hpl&ettnumt of 

oooplt.cated logie:l1 proce•M• b7 nuaer1Ml alp:d. thm•. 

I• va• t\ftl'ted ..,,..ral JMZ'I ago b7 Dr. !ompktne, tmn 

a\ DA, a• a con•re.c\ wt.th h-ndpa. (!aek 11 of 

SOb142001, ntJv •ti.er !Pk 3) 1 Dr. ~ompldn• ha• 1tnce 

1eft AA, u4 tbe ptoJac\ 1t.ov headed 'b7 Jbo. A. I. lo'bert1 • 

.b. oiitatu4ing reaul\ ot thi• oon,ract i1 t.he ID oallet\ 

Jaber''• matbocl, which althr>Uee-h. •\ill ln an uperf.ment!ll 

•tace, 1• const4ere4 011eof the 'be•• hope• of 1ol'rlD£ ou 

•t our moe\ tmponu' proltl•-.. 

•) !'broup. u. OIR aontraa•. Prof,. ftlk• ot Prlnee,on V1\l-

.,.,..1 t,y ha• 'been clean4 tor '-".lk• on our •t3\letS.ca1 

pl"Obl••• &Ad bo.1 thovn. 1omo taWre•' in nr vorlt. 

a. there are llftllT other pro"blem• nt'n.'bl• tor C!O!l\l'tJi.-Ct pt'6-

Jectta. lrtef' atf\•'!len•• of acme of \h•M problems are g1•en 

here ~ocetber v1th an ••tiJ!Sllte of \he relatln urgAn.c7 of tbel:r 

10111\tan. ~ p:Nct .. foftl'\1laUon. of \he•• pl'eblem• wtll re4{\U.re a f;!'9at deal rJf "°*• hence ~ntrac\1 tor then will 

aeoea"'1"1l;r 'be 'fape u4 wf.11 requ1ro tha contractor to reforJll'Olate the p~\lea I.a the 11&ht of b11 ow espmenee• tn 

•'u4Jlnc the •ubJect. Xn wrU!.nc a oontraet the .ApncJ' voul.4 

11peoif7 •aae pa!'tlcular 1llu1\rat1on of the problea q4 nq1Jee\ re••~oh on ptoblem1 relate4. 

a) Logloal re4uotton ot b;ppotheee1. 01Ten a large nms"ber 

of l:Jrpoth•1ea, 1Cme oonal•t911\ and wom1 lnoon111\ent, 

to fb.t\ the maxtnnun con111tent nbaet. !hi• 11 the ••' 

!mportimt pt'O'bl•• taolng the A&enq, con\aintng !uedlatel7 the •Olution of our aoet taport~nt a17Ptanal;rtia 

_....J.roblem. U!tG'Blft'. 

1t) 01aad.tlcatlo:a. et data. Olftn a ll•ber et o\aer'ra\!011e 1 

each from one Of tvo tld••r•••• to ola11U'7 \hem aaoorlhc le tlhell" paran' uut•eree. !hle pro'blea ud lt1 ~ 

ta\ton1 are contin'UAll7 recurr1n.g th OJl1'Pt&ll!t.11tlo ~ 

lea1. 'RI? IMPORT.Aft. 

-a-
o) Measure• of poclne1• of :ti,. Moa\ 1ta'1•'1cal teohniaua• 

D.O'V lmown ftq'd.tre •UtJ>le• nch larger \hau \ho•• aTalla'bl• in GUZ' 

:pro'bl•••· lMPOR'l'Aft. 

4) Mea•Ul'•• of eicnitioan.ce. !'he ~ue1tion ot whether t~ proceed fuloth•~ o:r •\IP'\ acatn on a eJ7ptanal7,ic proc111 0..pend• on 

m.eaaurtnc \he •lcnittcance of tbe partial rel'Ult ebta1n.e4. In 

told Ga••• ve ha.Te aea.IUJ'el and would lllte to refine them, in 

otb9r• ,,. ha•• n.o objec\lye •a•un• at all and are torc•4 \o 

4epen4 on ia'\11 ti on. XMPOl!.ll!'. 

1) lolu~ton of •lnmltaneou1 mo4ulal" equation.a. llnoe Cl'J'P,Ologics 

ll&ll1pula,ion concern.a ~ini\• ••'•• the probl••• cat\ often 'be 

ton'fen!en,17 zrepnanted in modular field1. !he problem• of 

aolTing 1imul\l!lneoua equa.tion in these fiel4e, e1pectall7 

vhan some of' \htm. are in e:rror, ~ aa1t imponaat to the 

Acenoy. line• thie problea ts ra'her poorl7 det1ne4, i' 1• 

4.itficult to a••lcn it a pr1or1t7, b.Ovevar, 1\ lnclud.e• a) 

a• a speolal oaee. 

f) Yarloua •\a\ia\ic• problem.a, auch a• caloulR.'UDC the 4iatr1bu,1on tunc\1on1 of cert~in •ta'i•tic•• their expeo\e4 Yal• 

u.•, eta. Mo1~ ot theae problaaa will arl1• in connection 

vl'h o\be::r problea• on thla 11.at ana aho'QJ.a p:robabl1' be t~a,•4 la ~hi1 connec\1on. 

C) the theor,y ot permanen\a. 'l'he enuaet-aU.on. ot vire4 vbael 

Ola•••• oan be done 1>7 conai4eJ:1ng the permanen\a of' certain ... trix. DJIYl'IA.!LJI. 

4.. An.7 p0ten\1al eoa\rac\or wo'lll4 build h11 pi-osraa abou'\ a 'k.•7 man. 

for •X&ftl.Pl•, vhen vi bad a oon\:ract with SJTaCn•• lm!Ter•1~7. Prot. 

Oaint• directed and conducted the work. When a 191'' 87raauae they 

Jaa4t no preten.e• of be1nc able or rilling \o coati11u the vork. !beJ' 

voul.4 not acatn oone14er •uch vork tmleH they bad again a Jl8!l w1 th 

the intere•~• abilii7, and apecial kn.ovl•c!c• needed to •apark-plug• 

'\he p:rograa. !hta 1• U.kel;r to be \he a:r1Ucal factor 1n finding a contraoto~, either commerclR.1 or academic. 

-at 
;TCllRITY INFtn.·~17 ;_ -"'~~? 

,J e I, ! I P ! ! t: I 6 1t 

REF ID:A65921 

j,1 a.n example of 'he atUtw!e of \he 1Jn1YereUS.ea, a portion ot the 

ann.Ual report of the predden\ ot M.I.1'. 11 quotecl. 'lhe•e 'lar\vell 

'TP•' proJecta -·- impose heaT7 burden• en our 1tatt. ·- [we] aooepted then in reapon.1e 1io 1nda'tent appeals fro.1!1 the Qoye.rnma:at an.d. 

onl7 attar beco•1DB eoDTinced ---.• 

lowevol"t 11; it plausible that a cont:ractor coUl.d be tound., and here 

l• a l1•t, v1ih a few relevant coJDr.J.ents tor each, ot agencies which 

might be con•idered. 

!he litt below 1• ron..,""hl.7 in order of e•tims.ted teas~b1l!\7. 

a) Prinr.eton UniTerBit1. fhe vork: could be c!one a\ the J'ore•tal. 

Center, alrea.47 eqnipped with aecr.l!'e etov-.-i.ge. Prot. I. a. Wilk• 

ha• conaulted vUh ua tn the patt. the T1n1nra1tJ' b&• htch 

preiU,;e and te cen~rall7 100111.ted. !here will eoon be a com- pu~er at the Inatitute for Advanced BtudJ'. 

'b) JWll) Oorpon-UDJ>.. Secure epac;e• ud e\ovap an aft.1lable. »r. 

If. M. rloo4 J'IJ!\1' 'be available. Other p.themn.UeRl work 11 beinc 

!one tli.ere, and preatic• i• hip. !he lo~a·U,011 .l1 ~·ino~•~ 

o) Jell Leboratoriea. Secure •pacea and atove.ge are aYa1labl•. 

lb". Shannan i a tb.6re. '!'hey have colllputer•. 0119 of our f0%'mer 

outetandinc emplo7ff1, Dr. Jl. A. Leible:r, 1• now vorki:ac tor 

a ~ell •ub•i4iatT, the Sandia Corporation. 

4) Johne Jloplc1n• Uni verd "t7. !hey ha:ve eel up iba .Applied :fhJ't1o• 

lta.boratory in Silver lpr!nc• to handle one OoTerm!lent contract, 

where the;y har,a ••cure 11paeea. Prof, J.. K. Olittord1 who 1a 

aov here on eztended active du,7 bu' 111.17 be back there next 

J6ar. ia erlre11el7 comp•t.en\ to M.J'ect auoh vcrlt. 

1) I.I •• \. h."\.B an Arlington labora.tor1 with .aOU1"• 1pace1, and 

Dr. lnf;atrom. a.n4 Mr. tobert• ha.Te aperience 1n 4irecting auch 

a pito.;ram. 

:t) !he Univ. J"a1'l7 ot Ill1no11. 1rot. Ca1:rne an4 Mr. l:oken haYe 

•:q>erienee in such rtJeen.l"ch. !hero 1• not now aD¥ extena1T11 

••Cbre •tovace available. tha:re 11 a computer 100:0. to be finl•hed. 

. . . . --- . . .. I 

:: ..... _. ""'·· ........ t- '9"1!°_~-1:..r .... _ ... ::. .. • .. v.. f ...... :. I/ ... .. _, .. ,....___,,_.___,_,_, • .......__...L..-_______________ •
-; 

I 

,, 

-·.' -:.:.......; . . .,.. 

ti •. 

REF ID:A65921 

""'ECURITY 11ffOPM~r1n~· 

8 lan.'OIJ.r7 11sa 

larva.rd 'O'n1Tera1~7. Prot • .A.4 II. Gleaaon ma:r be baclt there 

ae:d yer.%. !be wahool bat Ql>'Qgh pre•·U.ce to &~tract. ••t 

fii.thoma:Uoians. then l• a OOl\PU\er. 'but. ona :ao\ nr7 goo4 for 

OlU' proble••· 

JI.) M.I.!. !here 1• ao one ihen now to be the eenter tor tu0h 

a lJf'O~a.ia. 'bu• 'be7 have ••cure IP&O•• ucl pte1t1&•· !here 

1• an excellen\ COlrJ>"Ute¥" wi'h one 11"a4ua\e a\u4en\ vho kn.ova 

_,ur .R~o'blem•. . _ , . . . 

..r:l) Ohio State 1Jn1Yel"~1'7· Prof. 11 lall hope• 'o re\un there 

a•x\~ja&.r and couia, MDa.t• a progna. •o ••cur• •P•a•• 'hera 

aov. ____ _.:;:._:;;;;;;;;;;;;;;;;;;;;;;;"4! 

J) Geor&e Va•hinaton liiiver•:U7. J>r. foapkln• i• there. fh•7 

&Ov.la?Ja .,09Wa.Gll v1\b '\he l&Y7• and have leave etovap • . :~l •..re vt\};\1». •a.17 reach f!f tM• Aona7 • ... _ "' . ... 

k) ~,_o~.t.!~ or jJ» breau or ltan4ar4• ln•tUut• tor l'\meriaal ~·1•. tl!t ~w. an located top\her u4 tor our pt'eHn' jz· iiee-are al.llo1\ bl.c\i•\lncuitbable. !here 1• aot DOV & 

Iii ~ Up• to°' •u.cA • COA\raot, but tu7 alnAc!T h&T• 

I J oi.- t~ alae11f1e4 l'•tearch. Preetlp ls goo4, an.4 a 

eott:U\.er it a•aU.a'blt.. . -- · · ·- --

1) The Jureav. at l'an~m. Wa1hincton. !he)" ha•• c1a•.tfle4 eoat:r~•·· and voulcl bl anxious to 'allder\ue the ••rTlce. !he 

-Jl~i 1• •U.i"••l7 aace1alble, 'fh.7 bal::.LCPut1'tr .. .. ..--- 'rt' W' 

a) 'QQb:~rJi\7 of Mloh.igq., Prof .. a. 11. Jlotu vu tormei-11 

ah°(p!'ci 'o W. A.cenc7. Be i1 a ••rr aompeta.• •tbematioian. 

lhe p:reatic• ot the t1ntvoreit7 l• ~o4. . _ .1 •• __ ..,,_ 

~~-

ft) lroo~ College. 1roft.A. Landers an4 llncer ha•• ha4 contact h•~•• Sew York Oit7 ha.a certaJn .&tt:raotio*'!· 

I. Ve haT• a11umed h~e that a a1:D4le oont:rac' val needed \o deal wl th 

M"teral pioob1eat. fhia pTet ne:dblllt7 Df a11ipment an.4 ai11J1lialt7 

ot aoordlnaUan. BoweTer, it .,- be worth con•ide:r1ng the alten.aU.Te of 

a nua'bea- ot ....tJD&ll coJ!.traci•. ·· ___ - - ----

= 

- 15 -

~ • .. ·~-.....4.. ......  ............. - -

'::iiiiiiiiiiiiiiiiiil.