Information on Result #720326
Linear OA(9122, 775, F9, 40) (dual of [775, 653, 41]-code), using construction XX applied to C1 = C([55,90]), C2 = C([63,94]), C3 = C1 + C2 = C([63,90]), and C∩ = C1 ∩ C2 = C([55,94]) based on
- linear OA(996, 728, F9, 36) (dual of [728, 632, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,90}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,94}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,94}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(975, 728, F9, 28) (dual of [728, 653, 29]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,90}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(912, 33, F9, 7) (dual of [33, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- linear OA(94, 14, F9, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,9)), 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.