Information on Result #696799
Linear OA(3291, 32815, F32, 26) (dual of [32815, 32724, 27]-code), using construction X applied to C([0,13]) ⊂ C([0,7]) based on
- linear OA(3279, 32769, F32, 27) (dual of [32769, 32690, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3243, 32769, F32, 15) (dual of [32769, 32726, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(3212, 46, F32, 10) (dual of [46, 34, 11]-code), using
- construction X applied to AG(F,32P) ⊂ AG(F,34P) [i] based on
- linear OA(3211, 43, F32, 10) (dual of [43, 32, 11]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(329, 43, F32, 8) (dual of [43, 34, 9]-code), using algebraic-geometric code AG(F,34P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,32P) ⊂ AG(F,34P) [i] based on
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.