Information on Result #719239
Linear OA(973, 763, F9, 23) (dual of [763, 690, 24]-code), using construction XX applied to C1 = C([719,11]), C2 = C([0,13]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([719,13]) based on
- linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,11}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,13}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(931, 728, F9, 12) (dual of [728, 697, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(911, 28, F9, 8) (dual of [28, 17, 9]-code), using
- extended algebraic-geometric code AGe(F,19P) [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,19P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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.