Cryptology ePrint Archive: Report 2019/1191

On the equivalence of authentication codes and robust (2,2)-threshold schemes

Maura B. Paterson and Douglas R. Stinson

Abstract: In this paper, we show a "direct" equivalence between certain authentication codes and robust secret sharing schemes. It was previously known that authentication codes and robust secret sharing schemes are closely related to similar types of designs, but direct equivalences had not been considered in the literature. Our new equivalences motivate the consideration of a certain "key-substitution attack." We study this attack and analyze it in the setting of "dual authentication codes." We also show how this viewpoint provides a nice way to prove properties and generalizations of some known constructions.

Category / Keywords: foundations / combinatorial cryptography, authentication codes, secret sharing

Date: received 12 Oct 2019, last revised 12 Oct 2019

Contact author: dstinson at uwaterloo ca

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Version: 20191015:074539 (All versions of this report)

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