Information on Result #676909
Linear OA(3237, 738, F3, 62) (dual of [738, 501, 63]-code), using construction XX applied to Ce(61) ⊂ Ce(60) ⊂ Ce(58) based on
- linear OA(3235, 729, F3, 62) (dual of [729, 494, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [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(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.