Information on Result #719996
Linear OA(991, 749, F9, 32) (dual of [749, 658, 33]-code), using construction XX applied to C1 = C([61,90]), C2 = C([66,92]), C3 = C1 + C2 = C([66,90]), and C∩ = C1 ∩ C2 = C([61,92]) based on
- linear OA(981, 728, F9, 30) (dual of [728, 647, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {61,62,…,90}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,92}, and designed minimum distance d ≥ |I|+1 = 28 [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 = {61,62,…,92}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(969, 728, F9, 25) (dual of [728, 659, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {66,67,…,90}, and designed minimum distance d ≥ |I|+1 = 26 [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.