Information on Result #720062
Linear OA(9111, 769, F9, 36) (dual of [769, 658, 37]-code), using construction XX applied to C1 = C([719,23]), C2 = C([0,27]), C3 = C1 + C2 = C([0,23]), and C∩ = C1 ∩ C2 = C([719,27]) based on
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,23}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,27}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(964, 728, F9, 24) (dual of [728, 664, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [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.