Information on Result #663633
Linear OA(8105, 539, F8, 33) (dual of [539, 434, 34]-code), using (u, u+v)-construction based on
- linear OA(820, 26, F8, 16) (dual of [26, 6, 17]-code), using
- construction X applied to AG(F,6P) ⊂ AG(F,8P) [i] based on
- linear OA(819, 23, F8, 16) (dual of [23, 4, 17]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- linear OA(817, 23, F8, 14) (dual of [23, 6, 15]-code), using algebraic-geometric code AG(F,8P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(819, 23, F8, 16) (dual of [23, 4, 17]-code), using algebraic-geometric code AG(F,6P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- construction X applied to AG(F,6P) ⊂ AG(F,8P) [i] based on
- linear OA(885, 513, F8, 33) (dual of [513, 428, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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.