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DCC
2016
IEEE
8 years 25 days ago
On the automorphisms of order 15 for a binary self-dual [96, 48, 20] code
The structure of binary self-dual codes invariant under the action of a cyclic group of order pq for odd primes p ̸= q is considered. As an application we prove the nonexistence ...
Stefka Bouyuklieva, Wolfgang Willems, Nikolay Yank...
DCC
2016
IEEE
8 years 25 days ago
Recent progress on the elliptic curve discrete logarithm problem
We survey recent work on the elliptic curve discrete logarithm problem. In particular we review index calculus algorithms using summation polynomials, and claims about their comple...
Steven D. Galbraith, Pierrick Gaudry
DCC
2016
IEEE
8 years 25 days ago
Exceptional planar polynomials
Planar functions are special functions from a finite field to itself that give rise to finite projective planes and other combinatorial objects. We consider polynomials over a ...
Florian Caullery, Kai-Uwe Schmidt, Yue Zhou
DCC
2016
IEEE
8 years 25 days ago
Cryptocash, cryptocurrencies, and cryptocontracts
Abstract. One of the central challenges for mathematical cryptography is to create a payment system that provides the advantages of cash in a digital world. In this expository arti...
Neal Koblitz, Alfred J. Menezes
DCC
2016
IEEE
8 years 25 days ago
Generic constructions of integrated PKE and PEKS
In this paper we investigate the topic of integrated public-key encryption (PKE) and public-key encryption with keyword search (PEKS) schemes (PKE-PEKS as shorthand). We first fo...
Yu Chen, Jiang Zhang, Dongdai Lin, Zhenfeng Zhang
Computer Graphics
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