Gaudry and Schost gave a low-memory algorithm for solving the 2-dimensional discrete logarithm problem. We present an improvement to their algorithm and extend this improvement to ...
The Rayleigh quotient of a bent function is an invariant under the action of the orthogonal group, and it measures the distance of the function to its dual. An efficient algorithm ...
Lars Eirik Danielsen, Matthew G. Parker, Patrick S...
Let f : F n 2 → F n 2 be an almost perfect nonlinear function (APN). The set Df := {(a, b) : f(x + a) − f(x) = b has two solutions} can be used to distinguish APN functions up ...
This paper presents efficient formulas for computing cryptographic pairings on the curve y2 = cx3 + 1 over fields of large characteristic. We provide examples of pairing-friendly...
Abstract. In order to increase the security for authenticated key exchange protocols, various authentication means can be used together. In this paper, we introduce a security mode...