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JOURNALS // Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] // Archive

Mat. Vopr. Kriptogr., 2013 Volume 4, Issue 3, Pages 99–129 (Mi mvk94)

This article is cited in 6 papers

Combinatorial characterization of XL-layers

B. A. Pogorelova, M. A. Pudovkinab

a Academy of Cryptography of the Russian Federation, Moscow
b National Nuclear Research University, Moscow

Abstract: We consider combinatorial and structural properties of an affine subgroup generated by key addition and linear layer, i.e. by all shifts and by the multiplication on a reducible matrix. In particular, we describe properties of orbital graphs of this subgroup.

Key words: orbital, orbital graph, metric, distance-transitive graph, distance-regular graph.

UDC: 512.534

Received 11.IV.2012

DOI: 10.4213/mvk94



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