Information on Result #719762
Linear OA(9102, 785, F9, 31) (dual of [785, 683, 32]-code), using construction XX applied to C1 = C([77,100]), C2 = C([70,92]), C3 = C1 + C2 = C([77,92]), and C∩ = C1 ∩ C2 = C([70,100]) based on
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {77,78,…,100}, and designed minimum distance d ≥ |I|+1 = 25 [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 = {70,71,…,92}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {70,71,…,100}, and designed minimum distance d ≥ |I|+1 = 32 [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 = {77,78,…,92}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(911, 30, F9, 7) (dual of [30, 19, 8]-code), using
- extended algebraic-geometric code AGe(F,22P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OA(99, 27, F9, 6) (dual of [27, 18, 7]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-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.