Information on Result #1083501
Linear OOA(12878, 4247, F128, 4, 31) (dual of [(4247, 4), 16910, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12816, 150, F128, 4, 15) (dual of [(150, 4), 584, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,584P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12862, 4097, F128, 4, 31) (dual of [(4097, 4), 16326, 32]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12862, 16388, F128, 31) (dual of [16388, 16326, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(12862, 16390, F128, 31) (dual of [16390, 16328, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- linear OA(12861, 16385, F128, 31) (dual of [16385, 16324, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(12857, 16385, F128, 29) (dual of [16385, 16328, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12862, 16390, F128, 31) (dual of [16390, 16328, 32]-code), using
- OOA 4-folding [i] based on linear OA(12862, 16388, F128, 31) (dual of [16388, 16326, 32]-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.