EXHIBIT 31.1

                                  Cardima, Inc.

CERTIFICATION PURSUANT TO SARBANES-OXLEY SECTION 302

I, Gabriel B. Vegh, certify that:

1. I have reviewed this quarterly report on Form 10-Q of Cardima, Inc.;

2. Based on my  knowledge,  this  quarterly  report  does not contain any untrue
statement of a material fact or omit to state a material fact  necessary to make
the statements made, in light of the  circumstances  under which such statements
were made, not  misleading  with respect to the period covered by this quarterly
report;

3.  Based  on my  knowledge,  the  financial  statements,  and  other  financial
information  included in this quarterly  report,  fairly present in all material
respects the financial  condition,  results of operations  and cash flows of the
issuer as of, and for, the periods presented in this quarterly report;

4. The issuer's other certifying  officer and I are responsible for establishing
and maintaining  disclosure  controls and procedures (as defined in Exchange Act
Rules 13a-15(e) and 15d-15(e)) for the issuer and have:

(a)  Designed such disclosure  controls and procedures or caused such disclosure
     controls and  procedures to be designed  under our  supervision,  to ensure
     that material information relating to the issuer including its consolidated
     subsidiary,   is  made  known  to  us  by  others  within  those  entities,
     particularly during the period in which this report is being prepared; and

(b)  Evaluated  the  effectiveness  of  the  issuer's  disclosure  controls  and
     procedures  and  presented  in  this  report  our  conclusions   about  the
     effectiveness of the disclosure  controls and procedures,  as of the end of
     the period covered by this report based on such evaluation; and

(c)  Disclosed in this report any change in the issuer's  internal  control over
     financial  reporting  that occurred  during the issuer's most recent fiscal
     quarter  (the  issuer's  fourth  fiscal  quarter  in the case of an  annual
     report) that has materially affected, or is reasonably likely to materially
     affect, the issuer's internal control over financial reporting;

5. The issuer's other certifying officer and I have disclosed, based on our most
recent evaluation of internal control over financial reporting,  to the issuer's
auditors and the audit  committee of the issuer's board of directors (or persons
performing the equivalent functions);

(a)  All  significant  deficiencies  and  material  weaknesses  in the design or
     operation of internal control over financial reporting which are reasonably
     likely to  adversely  affect  the  issuer's  ability  to  record,  process,
     summarize and report financial information; and

(b)  Any fraud,  whether or not  material,  that  involves  management  or other
     employees who have a  significant  role in the issuer's  internal  controls
     over financial reporting.



                                              CARDIMA, INC.
Date: November 21, 2005                       By: /s/ Gabriel B. Vegh
                                              ---------------------------
                                              Gabriel B. Vegh
                                              Chief  Executive   Officer,
                                              Chief Financial Officer