Information on Result #719091
Linear OA(960, 764, F9, 18) (dual of [764, 704, 19]-code), using construction XX applied to C1 = C([1,15]), C2 = C([9,18]), C3 = C1 + C2 = C([9,15]), and C∩ = C1 ∩ C2 = C([1,18]) based on
- linear OA(942, 728, F9, 15) (dual of [728, 686, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(930, 728, F9, 10) (dual of [728, 698, 11]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {9,10,…,18}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(948, 728, F9, 18) (dual of [728, 680, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(921, 728, F9, 7) (dual of [728, 707, 8]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {9,10,…,15}, and designed minimum distance d ≥ |I|+1 = 8 [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(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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.