Information on Result #719009
Linear OA(958, 764, F9, 17) (dual of [764, 706, 18]-code), using construction XX applied to C1 = C([721,6]), C2 = C([1,9]), C3 = C1 + C2 = C([1,6]), and C∩ = C1 ∩ C2 = C([721,9]) based on
- linear OA(940, 728, F9, 14) (dual of [728, 688, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−7,−6,…,6}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(924, 728, F9, 9) (dual of [728, 704, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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 = {−7,−6,…,9}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(918, 728, F9, 6) (dual of [728, 710, 7]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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.