Information on Result #696535
Linear OA(3293, 1048629, F32, 21) (dual of [1048629, 1048536, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,5]) based on
- linear OA(3281, 1048577, F32, 21) (dual of [1048577, 1048496, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3241, 1048577, F32, 11) (dual of [1048577, 1048536, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(3212, 52, F32, 9) (dual of [52, 40, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(3212, 63, F32, 9) (dual of [63, 51, 10]-code), using
- algebraic-geometric code AG(F,53P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3212, 63, F32, 9) (dual of [63, 51, 10]-code), using
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.