Information on Result #670229
Linear OA(8179, 6680, F81, 31) (dual of [6680, 6601, 32]-code), using (u, u+v)-construction based on
- linear OA(8118, 118, F81, 15) (dual of [118, 100, 16]-code), using
- construction X applied to AG(F,99P) ⊂ AG(F,101P) [i] based on
- linear OA(8117, 115, F81, 15) (dual of [115, 98, 16]-code), using algebraic-geometric code AG(F,99P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(8115, 115, F81, 13) (dual of [115, 100, 14]-code), using algebraic-geometric code AG(F,101P) [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,99P) ⊂ AG(F,101P) [i] based on
- linear OA(8161, 6562, F81, 31) (dual of [6562, 6501, 32]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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.