Information on Result #670422
Linear OA(8144, 6680, F81, 17) (dual of [6680, 6636, 18]-code), using (u, u+v)-construction based on
- linear OA(8111, 118, F81, 8) (dual of [118, 107, 9]-code), using
- construction X applied to AG(F,106P) ⊂ AG(F,108P) [i] based on
- linear OA(8110, 115, F81, 8) (dual of [115, 105, 9]-code), using algebraic-geometric code AG(F,106P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(818, 115, F81, 6) (dual of [115, 107, 7]-code), using algebraic-geometric code AG(F,108P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116 (see above)
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,106P) ⊂ AG(F,108P) [i] based on
- linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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.