Information on Result #718979
Linear OA(954, 763, F9, 16) (dual of [763, 709, 17]-code), using construction XX applied to C1 = C([724,9]), C2 = C([4,11]), C3 = C1 + C2 = C([4,9]), and C∩ = C1 ∩ C2 = C([724,11]) based on
- linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,9}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(924, 728, F9, 8) (dual of [728, 704, 9]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {4,5,…,11}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(943, 728, F9, 16) (dual of [728, 685, 17]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,11}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(918, 728, F9, 6) (dual of [728, 710, 7]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {4,5,…,9}, and designed minimum distance d ≥ |I|+1 = 7 [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(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.