Codes and designs from triangular graphs and their line graphs

• Autorzy: Washiela Fish , Khumbo Kumwenda , Eric Mwambene
• Języki publikacji: EN

Abstrakty

EN

For any prime p, we consider p-ary linear codes obtained from the span over $\mathbb{F}_p $ p of rows of incidence matrices of triangular graphs, differences of the rows and adjacency matrices of line graphs of triangular graphs. We determine parameters of the codes, minimum words and automorphism groups. We also show that the codes can be used for full permutation decoding.

Słowa kluczowe

EN

Automorphism group; Incidence design; Incidence matrix; Line graph; Linear code; Permutation decoding; Triangular graph

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1411-1423

Daty

wydano

2011-12-01

online

2011-09-23

Twórcy

autor

Washiela Fish

• University of the Western Cape,

autor

Khumbo Kumwenda

• University of the Western Cape,

autor

Eric Mwambene

• University of the Western Cape,

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0072-5