Twisted Centralizer Codes
نویسندگان
چکیده
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, however for a 6= 0, 1 the minimal distance can be much larger, as large as n2.
منابع مشابه
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ورودعنوان ژورنال:
- CoRR
دوره abs/1608.04079 شماره
صفحات -
تاریخ انتشار 2016