Completion by Derived Double Centralizer
نویسندگان
چکیده
منابع مشابه
Generalized twisted centralizer codes
An important code of length n is obtained by taking centralizer of a square matrix over a finite field Fq. Twisted centralizer codes, twisted by an element a ∈ Fq, are also similar type of codes but different in nature. The main results were embedded on dimension and minimum distance. In this paper, we have defined a new family of twisted centralizer codes namely generalized twisted centralizer...
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Given an n× n matrix A over a field F and a scalar a ∈ F , we consider the linear codes C(A, a) := {B ∈ F | AB = aBA} of length n2. We call C(A, a) a twisted centralizer code. We investigate properties of these codes including their dimensions, minimum distances, parity-check matrices, syndromes, and automorphism groups. The minimal distance of a centralizer code (when a = 1) is at most n, howe...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2013
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-013-9405-3