Information on Result #720204
Linear OA(9111, 761, F9, 38) (dual of [761, 650, 39]-code), using construction XX applied to C1 = C([55,90]), C2 = C([63,92]), C3 = C1 + C2 = C([63,90]), and C∩ = C1 ∩ C2 = C([55,92]) 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(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {63,64,…,92}, and designed minimum distance d ≥ |I|+1 = 31 [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(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(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, 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.