Information on Result #1187280
Digital (138, 162, 21845)-net over F4, using net defined by OOA based on linear OOA(4162, 21845, F4, 24, 24) (dual of [(21845, 24), 524118, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(4162, 262140, F4, 24) (dual of [262140, 261978, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4162, 262144, F4, 24) (dual of [262144, 261982, 25]-code), using
- 1 times truncation [i] based on linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4162, 262144, F4, 24) (dual of [262144, 261982, 25]-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 | Digital (151, 175, 21854)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (152, 176, 21855)-net over F4 | [i] | ||
| 3 | Digital (153, 177, 21859)-net over F4 | [i] | ||
| 4 | Digital (154, 178, 21860)-net over F4 | [i] | ||
| 5 | Digital (155, 179, 21862)-net over F4 | [i] | ||