Information on Result #720805
Linear OA(9138, 763, F9, 48) (dual of [763, 625, 49]-code), using construction XX applied to C1 = C([55,100]), C2 = C([53,92]), C3 = C1 + C2 = C([55,92]), and C∩ = C1 ∩ C2 = C([53,100]) 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 = {55,56,…,100}, and designed minimum distance d ≥ |I|+1 = 47 [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(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 = {53,54,…,100}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {55,56,…,92}, and designed minimum distance d ≥ |I|+1 = 39 [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.