A cyclotomic field reduction method constructs non-RS cyclic MDS codes over finite fields by converting MDS verification to characteristic-zero minor checks, producing codes with flexible parameters.
Zhang, On the Chebotarev theorem over finite fields, Finite Fields and Their Applications, vol
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Non-RS type cyclic MDS codes over finite fields via cyclotomic field reduction
A cyclotomic field reduction method constructs non-RS cyclic MDS codes over finite fields by converting MDS verification to characteristic-zero minor checks, producing codes with flexible parameters.