Information on Result #1019493
Linear OOA(12855, 5655, F128, 3, 21) (dual of [(5655, 3), 16910, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12813, 192, F128, 3, 10) (dual of [(192, 3), 563, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,565P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(12842, 5463, F128, 3, 21) (dual of [(5463, 3), 16347, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12842, 16389, F128, 21) (dual of [16389, 16347, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(12842, 16390, F128, 21) (dual of [16390, 16348, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- 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(12837, 16385, F128, 19) (dual of [16385, 16348, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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([0,10]) ⊂ C([0,9]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12842, 16390, F128, 21) (dual of [16390, 16348, 22]-code), using
- OOA 3-folding [i] based on linear OA(12842, 16389, F128, 21) (dual of [16389, 16347, 22]-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.