A Partition of the Hypercube into Maximally Nonparallel Hamming Codes

Author:

Krotov Denis S.12

Affiliation:

1. Sobolev Institute of Mathematics; pr. Akademika Koptyuga 4; Novosibirsk 630090 Russia

2. Novosibirsk State University, Pirogova 2; Novosibirsk 630090 Russia

Publisher

Wiley

Subject

Discrete Mathematics and Combinatorics

Reference25 articles.

1. Intersection matrices for partitions by binary perfect codes;Avgustinovich;IEEE Trans Inf Theory,2001

2. On partitions of an n-cube into nonequivalent perfect codes;Avgustinovich;Probl Inf Transm,2007

3. Crooked functions, bent functions, and distance regular graphs;Bending;Electr J Comb,1998

4. The automorphism group of double-error-correcting BCH codes;Berger;IEEE Trans Inf Theory,1994

5. J. Borges C. Fernandez J. Rifà M. Villanueva Constructions of 1-perfect partitions on the n-cube ( Z / 2 ) n http://pirdi.uab.es/document/pirdi15.htm

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Existence of Agievich-Primitive Partitions;Journal of Applied and Industrial Mathematics;2022-11

2. On transitive uniform partitions of $F^n$ into binary Hamming codes;Sibirskie Elektronnye Matematicheskie Izvestiya;2019-06-21

3. On a class of perfect codes with maximum components;SIB ELECTRON MATH RE;2016

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