Abstract
Let Fp be the finite field of order p and M3(Fp) the ring of 3 × 3 matrices over Fp, where p is a prime. For certain prime p, we determine the complete algebraic properties of cyclic codes of length N (p | N) over M3(Fp). We define an isometry from M3(Fp) to Fp3 + eFp3 + e2Fp3, where e3 = 1. As an outcome, we derive numerous optimal and good linear F8 codes induced from F8 -images of cyclic codes over M3(F2).
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