Orthogonality matrices for modules over finite Frobenius rings and MacWilliams' equivalence theorem

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

3 Sitaatiot (Scopus)

Abstrakti

MacWilliams' equivalence theorem states that Hamming isometries between linear codes extend to monomial transformations of the ambient space. One of the most elegant proofs for this result is due to K. P. Bogart et al. (1978, Inform. and Control37, 19–22) where the invertibility of orthogonality matrices of finite vector spaces is the key step. The present paper revisits this technique in order to make it work in the context of linear codes over finite Frobenius rings.
AlkuperäiskieliEi tiedossa
Sivut323-331
Sivumäärä9
JulkaisuFinite Fields and Their Applications
Vuosikerta8
Numero3
DOI - pysyväislinkit
TilaJulkaistu - 2002
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

Siteeraa tätä