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On a sequence of cyclic codes with minimum distance six

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2 Author(s)
Danev, D. ; Dept. of Electr. Eng., Linkoping Univ., Sweden ; Olsson, J.

A sequence of q-ary cyclic codes is considered. For each finite field GF(q), q⩾4, there is a code with parameters [n, k, d; q]=[q(q-1)+1, q(q-1)-6, 6; q]. We show that all these codes are n-, k-, and d-optimal, with only one exception. Also the dual codes are considered. Their true minimum distances are calculated in the range 4⩽q⩽32

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Information Theory, IEEE Transactions on  (Volume:46 ,  Issue: 2 )