Information on Result #1083349
Linear OOA(12858, 4247, F128, 4, 23) (dual of [(4247, 4), 16930, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12812, 150, F128, 4, 11) (dual of [(150, 4), 588, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,588P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12846, 4097, F128, 4, 23) (dual of [(4097, 4), 16342, 24]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12846, 16388, F128, 23) (dual of [16388, 16342, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(12846, 16390, F128, 23) (dual of [16390, 16344, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(12841, 16385, F128, 21) (dual of [16385, 16344, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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([0,11]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12846, 16390, F128, 23) (dual of [16390, 16344, 24]-code), using
- OOA 4-folding [i] based on linear OA(12846, 16388, F128, 23) (dual of [16388, 16342, 24]-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.