Information on Result #704167
Linear OA(353, 749, F3, 12) (dual of [749, 696, 13]-code), using construction XX applied to C1 = C([354,363]), C2 = C([357,365]), C3 = C1 + C2 = C([357,363]), and C∩ = C1 ∩ C2 = C([354,365]) based on
- linear OA(342, 728, F3, 10) (dual of [728, 686, 11]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {354,355,…,363}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(337, 728, F3, 9) (dual of [728, 691, 10]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {357,358,…,365}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(349, 728, F3, 12) (dual of [728, 679, 13]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {354,355,…,365}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(330, 728, F3, 7) (dual of [728, 698, 8]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {357,358,…,363}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.