Information on Result #1747116
Digital (19, 34, 4981)-net over F128, using net defined by OOA based on linear OOA(12834, 4981, F128, 20, 15) (dual of [(4981, 20), 99586, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12834, 9963, F128, 4, 15) (dual of [(9963, 4), 39818, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12834, 9964, F128, 4, 15) (dual of [(9964, 4), 39822, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12834, 9964, F128, 15) (dual of [9964, 9930, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12834, 16402, F128, 15) (dual of [16402, 16368, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,4]) [i] based on
- 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(12817, 16385, F128, 9) (dual of [16385, 16368, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(1285, 17, F128, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,128)), using
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- Reed–Solomon code RS(123,128) [i]
- discarding factors / shortening the dual code based on linear OA(1285, 128, F128, 5) (dual of [128, 123, 6]-code or 128-arc in PG(4,128)), using
- construction X applied to C([0,7]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12834, 16402, F128, 15) (dual of [16402, 16368, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(12834, 9964, F128, 15) (dual of [9964, 9930, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(12834, 9964, F128, 4, 15) (dual of [(9964, 4), 39822, 16]-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.