EXHIBIT 31.1

                                 CERTIFICATIONS

I, Gabriel B. Vegh,  Chairman,  President,  Chief Executive Officer,  and Acting
Chief Financial Officer of Cardima, Inc., certify that:

1. I have reviewed this Annual Report on Form 10-K of Cardima, Inc.;

2. Based on my knowledge, this 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 report;

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

4. I am responsible for  establishing  and maintaining  disclosure  controls and
procedures  (as defined in  Exchange  Act Rules  13a-15(e)  and  15d-15(e))  and
internal  control  over  financial  reporting  (as defined in Exchange Act Rules
13a-15(f) and 15d-15(f)) for the registrant 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  registrant,  including its  consolidated
subsidiaries, is made known to us by others within those entities,  particularly
during the period in which this report is being prepared;

b) evaluated  the  effectiveness  of the  registrant'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 changes in the  registrant's  internal  control
over  financial  reporting  that occurred  during the  registrant's  most recent
fiscal quarter (the registrant's  fourth fiscal quarter in the case of an annual
report) that has  materially  affected,  or is  reasonably  likely to materially
affect, the registrant's internal control over financial reporting; and

5. I have  disclosed,  based on our most recent  evaluation of internal  control
over financial reporting,  to the registrant's  auditors and the audit committee
of  registrant'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  registrant'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 registrant's  internal control over
financial reporting.



Date: May 5, 2006

/s/ Gabriel B. Vegh
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Gabriel B. Vegh
Chairman, Chief Executive Officer, and Acting Chief Financial Officer