Information on Result #719946
Linear OA(9112, 789, F9, 34) (dual of [789, 677, 35]-code), using construction XX applied to C1 = C([64,90]), C2 = C([72,97]), C3 = C1 + C2 = C([72,90]), and C∩ = C1 ∩ C2 = C([64,97]) based on
- linear OA(972, 728, F9, 27) (dual of [728, 656, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,90}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,97}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(991, 728, F9, 34) (dual of [728, 637, 35]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {64,65,…,97}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(951, 728, F9, 19) (dual of [728, 677, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,90}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(912, 33, F9, 7) (dual of [33, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(912, 40, F9, 7) (dual of [40, 28, 8]-code), using
- linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- extended algebraic-geometric code AGe(F,21P) [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,21P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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.