Information on Result #705744
Linear OA(3248, 781, F3, 60) (dual of [781, 533, 61]-code), using construction XX applied to C1 = C([307,364]), C2 = C([316,367]), C3 = C1 + C2 = C([316,364]), and C∩ = C1 ∩ C2 = C([307,367]) based on
- linear OA(3217, 728, F3, 58) (dual of [728, 511, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,364}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {316,317,…,367}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(3229, 728, F3, 61) (dual of [728, 499, 62]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,367}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(3190, 728, F3, 49) (dual of [728, 538, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {316,317,…,364}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(315, 37, F3, 7) (dual of [37, 22, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
- linear OA(34, 16, F3, 2) (dual of [16, 12, 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
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.