Information on Result #1747220
Digital (17, 34, 2359)-net over F128, using net defined by OOA based on linear OOA(12834, 2359, F128, 20, 17) (dual of [(2359, 20), 47146, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12834, 4719, F128, 4, 17) (dual of [(4719, 4), 18842, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12834, 4720, F128, 4, 17) (dual of [(4720, 4), 18846, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12834, 4720, F128, 3, 17) (dual of [(4720, 3), 14126, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12834, 5463, F128, 3, 17) (dual of [(5463, 3), 16355, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12834, 16389, F128, 17) (dual of [16389, 16355, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12834, 16390, F128, 17) (dual of [16390, 16356, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(12833, 16385, F128, 17) (dual of [16385, 16352, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(12829, 16385, F128, 15) (dual of [16385, 16356, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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([0,8]) ⊂ C([0,7]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12834, 16390, F128, 17) (dual of [16390, 16356, 18]-code), using
- OOA 3-folding [i] based on linear OA(12834, 16389, F128, 17) (dual of [16389, 16355, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(12834, 5463, F128, 3, 17) (dual of [(5463, 3), 16355, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(12834, 4720, F128, 3, 17) (dual of [(4720, 3), 14126, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12834, 4720, F128, 4, 17) (dual of [(4720, 4), 18846, 18]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.