The joint weight enumerator of an LCD code and its dual (CROSBI ID 270104)
Prilog u časopisu | ostalo | međunarodna recenzija
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