New cubic self-dual codes of length 54, 60 and 66

Date

2018-08-01

Author

Comak, PINAR
Kim, Jon Lark
Özbudak, Ferruh

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We study the construction of quasi-cyclic self-dual codes, especially of binary cubic ones. We consider the binary quasi-cyclic codes of length with the algebraic approach of Ling and Sol, (IEEE Trans Inf Theory 47(7):2751-2760, 2001. doi:. In particular, we improve the previous results by constructing 1 new binary [54, 27, 10], 6 new [60, 30, 12] and 50 new [66, 33, 12] cubic self-dual codes. We conjecture that there exist no more binary cubic self-dual codes with length 54, 60 and 66.

Subject Keywords

Quasi-cyclic codes, Self-dual codes, Cubic construction

URI

https://hdl.handle.net/11511/38408

Collections

Department of Mathematics, Article