Information on Result #720465
Linear OA(9112, 749, F9, 40) (dual of [749, 637, 41]-code), using construction XX applied to C1 = C([53,90]), C2 = C([58,92]), C3 = C1 + C2 = C([58,90]), and C∩ = C1 ∩ C2 = C([53,92]) based on
- linear OA(9102, 728, F9, 38) (dual of [728, 626, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {53,54,…,90}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,92}, and designed minimum distance d ≥ |I|+1 = 36 [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 = {53,54,…,92}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(990, 728, F9, 33) (dual of [728, 638, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {58,59,…,90}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(95, 16, F9, 4) (dual of [16, 11, 5]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OA(91, 5, F9, 1) (dual of [5, 4, 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.