Pregled bibliografske jedinice broj: 1028502
The joint weight enumerator of an LCD code and its dual
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 (međunarodna recenzija, članak, ostalo)
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Naslov
The joint weight enumerator of an LCD code and its dual
Autori
Alahmadi, Adel ; Deza, Michel ; Dutour-Sikirić, Mathieu ; Solé, Patrick
Izvornik
Discrete applied mathematics (0166-218X) 257
(2019);
12-18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, ostalo
Ključne riječi
Linear binary code ; LCD code ; Linear programming bounds
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
