Information on Result #676908
Linear OA(3247, 748, F3, 64) (dual of [748, 501, 65]-code), using construction XX applied to Ce(63) ⊂ Ce(60) ⊂ Ce(58) based on
- linear OA(3241, 729, F3, 64) (dual of [729, 488, 65]-code), using an extension Ce(63) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(3229, 729, F3, 61) (dual of [729, 500, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(3223, 729, F3, 59) (dual of [729, 506, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(34, 17, F3, 2) (dual of [17, 13, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.