Information on Result #3267726
Digital (29, 51, 1491)-net over F128, using 1281 times duplication based on digital (28, 50, 1491)-net over F128, using
- t-expansion [i] based on digital (27, 50, 1491)-net over F128, using
- net defined by OOA [i] based on linear OOA(12850, 1491, F128, 23, 23) (dual of [(1491, 23), 34243, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(12850, 16402, F128, 23) (dual of [16402, 16352, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [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(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(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([0,11]) ⊂ C([0,8]) [i] based on
- OOA 11-folding and stacking with additional row [i] based on linear OA(12850, 16402, F128, 23) (dual of [16402, 16352, 24]-code), using
- net defined by OOA [i] based on linear OOA(12850, 1491, F128, 23, 23) (dual of [(1491, 23), 34243, 24]-NRT-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.