Abstract | ||
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A code is said to be propelinear if its automorphism group contains a subgroup that acts regularly on codewords. We show propelinearity of complements of cyclic codes C 1,i , (i, 2 m − 1) = 1, of length n = 2 m − 1, including the primitive two-error-correcting BCH code, to the Hamming code; the Preparata code to the Hamming code; the Goethals code to the Preparata code; and the Z4-linear Preparata code to the Z4-linear perfect code. |
Year | DOI | Venue |
---|---|---|
2017 | 10.1134/S0032946017030061 | Probl. Inf. Transm. |
Field | DocType | Volume |
Hamming code,Discrete mathematics,Preparata code,Automorphism group,Combinatorics,Block code,BCH code,Linear code,Code (cryptography),Mathematics | Journal | 53 |
Issue | ISSN | Citations |
3 | 0032-9460 | 0 |
PageRank | References | Authors |
0.34 | 7 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ivan Yu. Mogilnykh | 1 | 36 | 8.74 |
Faina I. Solov'eva | 2 | 59 | 14.78 |