Information on Result #720535
Linear OA(9138, 787, F9, 44) (dual of [787, 649, 45]-code), using construction XX applied to C1 = C([64,100]), C2 = C([57,92]), C3 = C1 + C2 = C([64,92]), and C∩ = C1 ∩ C2 = C([57,100]) based on
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,100}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,92}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9118, 728, F9, 44) (dual of [728, 610, 45]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {57,58,…,100}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,92}, and designed minimum distance d ≥ |I|+1 = 30 [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(910, 31, F9, 6) (dual of [31, 21, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-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.