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The joint weight enumerator of an LCD code and its dual (CROSBI ID 270104)

Prilog u časopisu | ostalo | međunarodna recenzija

Alahmadi, Adel ; Deza, Michel ; Dutour-Sikirić, Mathieu ; Solé, Patrick The joint weight enumerator of an LCD code and its dual // Discrete applied mathematics, 257 (2019), 12-18. doi: 10.1016/j.dam.2018.10.032

Podaci o odgovornosti

Alahmadi, Adel ; Deza, Michel ; Dutour-Sikirić, Mathieu ; Solé, Patrick

engleski

The joint weight enumerator of an LCD code and its dual

A binary linear code is called LCD if it intersects its dual trivially. We show that the coefficients of the joint weight enumerator of such a code with its dual satisfy linear constraints, leading to a new linear programming bound on the size of an LCD code of given length and minimum distance. In addition, we show that this polynomial is, in general, an invariant of a matrix group of dimension 4 and order 12. Also, we sketch a Gleason formula for this weight enumerator.

Linear binary code ; LCD code ; Linear programming bounds

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Podaci o izdanju

257

2019.

12-18

objavljeno

0166-218X

1872-6771

10.1016/j.dam.2018.10.032

Povezanost rada

Matematika

Poveznice
Indeksiranost