Information on Result #670273
Linear OA(8175, 6738, F81, 27) (dual of [6738, 6663, 28]-code), using (u, u+v)-construction based on
- linear OA(8122, 176, F81, 13) (dual of [176, 154, 14]-code), using
- construction X applied to AG(F,157P) ⊂ AG(F,160P) [i] based on
- linear OA(8120, 171, F81, 13) (dual of [171, 151, 14]-code), using algebraic-geometric code AG(F,157P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8117, 171, F81, 10) (dual of [171, 154, 11]-code), using algebraic-geometric code AG(F,160P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OA(812, 5, F81, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- construction X applied to AG(F,157P) ⊂ AG(F,160P) [i] based on
- linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
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.