Information on Result #870100
Linear OOA(32109, 524314, F32, 2, 25) (dual of [(524314, 2), 1048519, 26]-NRT-code), using OOA 2-folding based on linear OA(32109, 1048628, F32, 25) (dual of [1048628, 1048519, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(32109, 1048629, F32, 25) (dual of [1048629, 1048520, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,7]) [i] based on
- linear OA(3297, 1048577, F32, 25) (dual of [1048577, 1048480, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3257, 1048577, F32, 15) (dual of [1048577, 1048520, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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
- construction X applied to C([0,12]) ⊂ C([0,7]) [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.