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On algebras admitting a complete set of near weights, evaluation codes and Goppa codes
[article]
2008
arXiv
pre-print
In 1998 Hoholdt, van Lint and Pellikaan introduced the concept of a "weight function" defined on a F_q-algebra and used it to construct linear codes, obtaining among them the algebraic-geometric (AG) codes supported on one point. Later it was proved by Matsumoto that all codes produced using a weight function are actually AG codes supported on one point. Recently, "near weight functions" (a generalization of weight functions), also defined on a F_q-algebra, were introduced to study codes
arXiv:0807.3198v1
fatcat:xiy3a36x3rc5xpcpwntatmqhr4