Information on Result #719403
Linear OA(984, 779, F9, 25) (dual of [779, 695, 26]-code), using construction XX applied to C1 = C([0,18]), C2 = C([8,24]), C3 = C1 + C2 = C([8,18]), and C∩ = C1 ∩ C2 = C([0,24]) based on
- linear OA(949, 728, F9, 19) (dual of [728, 679, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(951, 728, F9, 17) (dual of [728, 677, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {8,9,…,24}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(933, 728, F9, 11) (dual of [728, 695, 12]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {8,9,…,18}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(910, 26, F9, 7) (dual of [26, 16, 8]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- linear OA(97, 25, F9, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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.