Information on Result #667029
Linear OA(27108, 827, F27, 40) (dual of [827, 719, 41]-code), using (u, u+v)-construction based on
- linear OA(2732, 98, F27, 20) (dual of [98, 66, 21]-code), using
- construction X applied to AG(F,72P) ⊂ AG(F,75P) [i] based on
- linear OA(2730, 93, F27, 20) (dual of [93, 63, 21]-code), using algebraic-geometric code AG(F,72P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2727, 93, F27, 17) (dual of [93, 66, 18]-code), using algebraic-geometric code AG(F,75P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(272, 5, F27, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to AG(F,72P) ⊂ AG(F,75P) [i] based on
- linear OA(2776, 729, F27, 40) (dual of [729, 653, 41]-code), using
- an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [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.