**Exhibit 31(b)****CERTIFICATION PURSUANT TO RULE 13a-14(a) and 15d-14(a)**I, Thomas N. Tipton Jr., certify that:1. I have reviewed this report on Form 10-Q of Interphase Corporation (the “Company”); 2. Based on my knowledge, this report does not contain any untrue statement of a materialfact or omit to state a material fact necessary to make the statements made, in light of thecircumstances under which such statements were made, not misleading with respect to the periodcovered by this report;  3. Based on my knowledge, the financial statements, and other financial information includedin this report, fairly present in all material respects the financial condition, results ofoperations and cash flows of the Company as of, and for, the periods presented in this report;  4. The Company’s other certifying officer and I are responsible for establishing andmaintaining disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and15d-15(e)) for the Company and internal control over financial reporting (as defined inExchange Act Rules13a-15(f) and 15d-15(f)) for the Company and have:(a) Designed such disclosure controls and procedures, or caused such disclosure controls andprocedures to be designed under our supervision, to ensure that material information relating tothe Company, including its consolidated subsidiaries, is made known to us by others within thoseentities, particularly during the period in which this report is being prepared;(b) Designed such internal control over financial reporting, or caused such an internal controlover financial reporting to be designed under our supervision, to provide reasonable assuranceregarding the reliability of financial reporting and the preparation of financial statements forexternal purposes in accordance with generally accepted accounting principles(c) Evaluated the effectiveness of the Company’s disclosure controls and procedures andpresented in this report our conclusions about the effectiveness of the disclosure controls andprocedures, as of the end of the period covered by this report based on such evaluation; and(d) Disclosed in this report any change in the Company’s internal control over financialreporting that occurred during the Company’s most recent fiscal quarter (the Company’s fourthfiscal quarter in the case of an annual report)that has materially affected, or is reasonablylikely to materially affect, the Company’s internal control over financial reporting; and 5. The Company’s other certifying officer and I have disclosed, based on our most recentevaluation of internal control over financial reporting, to the Company’s auditors and theAudit Committee of the Company’s Board of Directors:(a) All significant deficiencies and material weaknesses in the design or operation of internalcontrol over financial reporting which are reasonably likely to adversely affect the Company’sability to record, process, summarize and report financial information; and(b) Any fraud, whether or not material, that involves management or other employees who have asignificant role in the Company’s internal control over financial reporting.       Date: May 12, 2006 Signature: /s/ Thomas N. Tipton Jr.      Chief Financial Officer