A new general mathematical problem, suitable for publickey cryptosystems, is proposed: morphism computation in a category of Abelian groups. In connection with elliptic curves over finite fields, theâ€¦ (More)

Applicable Algebra in Engineering, Communicationâ€¦

2013

A low storage algorithm for constructing isogenies between ordinary elliptic curves was proposed by Galbraith, Hess and Smart (GHS). We give an improvement of this algorithm by modifying theâ€¦ (More)

We provide reductionist security arguments for a key agreement protocol KA, which is the Diffie-Hellman key agreement protocol generalized to the context of a group action on a set, and for aâ€¦ (More)

These notes should help for an in-depth understanding of the paper [1] by Klein and [2] by Tews, Weinmann and Pyshkin. 1 Notation n 256; S array containing the numbers {0, ..., nâˆ’ 1} in some order.â€¦ (More)