Information on Result #1204064
Digital (35, 60, 1368)-net over F128, using net defined by OOA based on linear OOA(12860, 1368, F128, 25, 25) (dual of [(1368, 25), 34140, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(12860, 16417, F128, 25) (dual of [16417, 16357, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(12860, 16420, F128, 25) (dual of [16420, 16360, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,6]) [i] based on
- linear OA(12849, 16385, F128, 25) (dual of [16385, 16336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(12811, 35, F128, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,128)), using
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- Reed–Solomon code RS(117,128) [i]
- discarding factors / shortening the dual code based on linear OA(12811, 128, F128, 11) (dual of [128, 117, 12]-code or 128-arc in PG(10,128)), using
- construction X applied to C([0,12]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(12860, 16420, F128, 25) (dual of [16420, 16360, 26]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (45, 70, 1368)-net in base 64 | [i] | Base Change | |