Self-embeddings of Hamming Steiner triple systems of small order and APN permutations
Information Theory
2012-12-27 v1 math.IT
Abstract
The classification, up to isomorphism, of all self-embedding monomial power permutations of Hamming Steiner triple systems of order n=2^m-1 for small m, m < 23, is given. As far as we know, for m in {5,7,11,13,17,19}, all given self-embeddings in closed surfaces are new. Moreover, they are cyclic for all m and nonorientable at least for all m < 21. For any non prime m, the nonexistence of such self-embeddings in a closed surface is proven.
Keywords
Cite
@article{arxiv.1212.5789,
title = {Self-embeddings of Hamming Steiner triple systems of small order and APN permutations},
author = {J. Rifà and F. I. Solov'eva and M. Villanueva},
journal= {arXiv preprint arXiv:1212.5789},
year = {2012}
}
Comments
Submitted to Design, Codes and Cryptography