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arXiv · 1212.5789

Self-embeddings of Hamming Steiner triple systems of small order and APN permutations

J. Rifà·F. I. Solov'eva·M. Villanueva
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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.

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J. Rifà, F. I. Solov'eva, M. Villanueva. 2012-12-23. Self-embeddings of Hamming Steiner triple systems of small order and APN permutations. https://arxiv.org/abs/1212.5789

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