Information on Result #719478
Linear OA(988, 772, F9, 27) (dual of [772, 684, 28]-code), using construction XX applied to C1 = C([724,18]), C2 = C([5,22]), C3 = C1 + C2 = C([5,18]), and C∩ = C1 ∩ C2 = C([724,22]) based on
- 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 = {−4,−3,…,18}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(954, 728, F9, 18) (dual of [728, 674, 19]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {5,6,…,22}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(973, 728, F9, 27) (dual of [728, 655, 28]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−4,−3,…,22}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(942, 728, F9, 14) (dual of [728, 686, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {5,6,…,18}, and designed minimum distance d ≥ |I|+1 = 15 [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(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-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.