The Hermitian Dual Containing Non-Primitive BCH Codes
Fengwei Li, Xiaoming Sun · IEEE Communications Letters · 2020
Let q be a prime power and m ≥ 4 an even integer. Suppose that n = q2m-1/a such that m is the multiplicative order of q2modulo n, where a ≥ 2 is a positive integer. This letter mainly determines the maximum designed distance of Hermitian dual-containing Bose-Chaudhuri-Hocquenghem (BCH) codes of length n over Fq2. Our results show that the designed distances of non-primitive BCH codes in this letter are larger. Moreover, we obtain the dimensions of some non-primitive BCH codes.