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Twisted Centralizer Codes

Dimension & Basis Calculator over Finite Fields ๐”ฝq

Twisted Centralizer Codes (Muchlis, Pradananta, Astuti & Suprijanto, 2021) are defined as C๐”ฝq(A, ฮณ) = {X โˆˆ ๐”ฝqnร—n : AX = ฮณXA}, for A โˆˆ ๐”ฝqnร—n and ฮณ โˆˆ ๐”ฝq. This calculator determines the exact dimension and an explicit basis using the module-theoretic approach of Algorithm 3.13.
Input
Example: "0 1 1 1; 1 0 1 1; 1 1 0 1; 1 1 1 0" for a 4ร—4 matrix over ๐”ฝโ‚ƒ