Information on Result #720737
Linear OA(9142, 770, F9, 48) (dual of [770, 628, 49]-code), using construction XX applied to C1 = C([719,36]), C2 = C([0,38]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([719,38]) based on
- linear OA(9121, 728, F9, 46) (dual of [728, 607, 47]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,36}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9103, 728, F9, 39) (dual of [728, 625, 40]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(9127, 728, F9, 48) (dual of [728, 601, 49]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,38}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(914, 35, F9, 8) (dual of [35, 21, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 40, F9, 8) (dual of [40, 26, 9]-code), using
- the cyclic code C(A) with length 40 | 92−1, defining set A = {0,1,2,3,4,5,6,31}, and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(914, 40, F9, 8) (dual of [40, 26, 9]-code), using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-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.