Information on Result #719585
Linear OA(984, 763, F9, 27) (dual of [763, 679, 28]-code), using construction XX applied to C1 = C([67,91]), C2 = C([75,93]), C3 = C1 + C2 = C([75,91]), and C∩ = C1 ∩ C2 = C([67,93]) based on
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {67,68,…,91}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(952, 728, F9, 19) (dual of [728, 676, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {75,76,…,93}, and designed minimum distance d ≥ |I|+1 = 20 [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 = {67,68,…,93}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {75,76,…,91}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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.