Information on Result #719198
Linear OA(966, 761, F9, 21) (dual of [761, 695, 22]-code), using construction XX applied to C1 = C([0,18]), C2 = C([8,20]), C3 = C1 + C2 = C([8,18]), and C∩ = C1 ∩ C2 = C([0,20]) 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(939, 728, F9, 13) (dual of [728, 689, 14]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {8,9,…,20}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [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(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.