Information on Result #719678
Linear OA(990, 769, F9, 29) (dual of [769, 679, 30]-code), using construction XX applied to C1 = C([76,100]), C2 = C([72,92]), C3 = C1 + C2 = C([76,92]), and C∩ = C1 ∩ C2 = C([72,100]) based on
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,100}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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 = {72,73,…,92}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,100}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(946, 728, F9, 17) (dual of [728, 682, 18]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {76,77,…,92}, and designed minimum distance d ≥ |I|+1 = 18 [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(94, 13, F9, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,9)), 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.