Information on Result #3178447
Digital (21, 37, 2050)-net over F128, using 1 times m-reduction based on digital (21, 38, 2050)-net over F128, using
- net defined by OOA [i] based on linear OOA(12838, 2050, F128, 17, 17) (dual of [(2050, 17), 34812, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(12838, 16401, F128, 17) (dual of [16401, 16363, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(12838, 16402, F128, 17) (dual of [16402, 16364, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [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(12821, 16385, F128, 11) (dual of [16385, 16364, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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([0,8]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12838, 16402, F128, 17) (dual of [16402, 16364, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(12838, 16401, F128, 17) (dual of [16401, 16363, 18]-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.