Information on Result #3267691
Digital (24, 43, 1822)-net over F128, using 1281 times duplication based on digital (23, 42, 1822)-net over F128, using
- net defined by OOA [i] based on linear OOA(12842, 1822, F128, 19, 19) (dual of [(1822, 19), 34576, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(12842, 16399, F128, 19) (dual of [16399, 16357, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(12842, 16402, F128, 19) (dual of [16402, 16360, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- 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(12825, 16385, F128, 13) (dual of [16385, 16360, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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([0,9]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12842, 16402, F128, 19) (dual of [16402, 16360, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(12842, 16399, F128, 19) (dual of [16399, 16357, 20]-code), using
Mode: Constructive and 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.