Extension of Secret Handshake Protocols with Multiple Groups in Monotone Condition

Authors:
Yutaka Kawai;Shotaro Tanno;Takahiro Kondo;Kazuki Yoneyama;Noboru Kunihiro;Kazuo Ohta
Affiliations:
The University of Electro-Communications, Tokyo, Japan 182-8585;The University of Electro-Communications, Tokyo, Japan 182-8585;Inc. Advanced Information Technologies Division, Mizuho Information Research Institute, Tokyo, Japan 112-0001;The University of Electro-Communications, Tokyo, Japan 182-8585;The University of Tokyo, Chiba, Japan 277-8561;The University of Electro-Communications, Tokyo, Japan 182-8585
Venue:
Information Security Applications
Year:
2009

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Abstract

Secret Handshake protocol allows members of the same group to authenticate each other secretly, that is, two members who belong to the same group can learn counterpart is in the same group, while non-member of the group cannot determine whether the counterpart is a member of the group or not. Yamashita and Tanaka proposed Secret Handshake Scheme with Multiple Groups (SHSMG). They extended a single group setting to a multiple groups setting where two members output "accept " iff both member's affiliations of the multiple groups are identical. In this paper, we first show the flaw of their SHSMG, and we construct a new secure SHSMG. Second, we introduce a new concept of Secret Handshake scheme, "monotone condition Secret Handshake with Multiple Groups (mc-SHSMG)", in order to extend the condition of "accept ". In our new setting of handshake protocol, members can authenticate each other in monotone condition (not only both member's affiliations are identical but also the affiliations are not identical). The communication costs and computational costs of our proposed mc-SHSMG are fewer than the trivial construction of mc-SHSMG.