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MacDonald codes over the ring F p + v F p + v 2 F p

Wang, Yongkang ; Gao, Jian

Computational & applied mathematics, 2019-01, Vol.38 (4), p.1-15 [Periódico revisado por pares]

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Título:
MacDonald codes over the ring F p + v F p + v 2 F p
Autor: Wang, Yongkang ; Gao, Jian
Assuntos: Applied physics ; Computational mathematics
É parte de: Computational & applied mathematics, 2019-01, Vol.38 (4), p.1-15
Descrição: In this paper, we consider MacDonald codes over the finite non-chain ring Fp+vFp+v2Fp and their applications in constructing secret sharing schemes and association schemes, where p is an odd prime and v3=v. We give some structural properties of MacDonald codes first. Then, we study the weight enumerators of torsion codes of these MacDonald codes. As some applications, constructing secret sharing schemes and association schemes is also investigated.
Editor: Heidelberg: Springer Nature B.V
Idioma: Inglês

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