Information on Result #1188082
Digital (31, 36, 976561)-net over F5, using net defined by OOA based on linear OOA(536, 976561, F5, 5, 5) (dual of [(976561, 5), 4882769, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(536, 1953123, F5, 5) (dual of [1953123, 1953087, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(536, 1953124, F5, 5) (dual of [1953124, 1953088, 6]-code), using
- 1 times truncation [i] based on linear OA(537, 1953125, F5, 6) (dual of [1953125, 1953088, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- 1 times truncation [i] based on linear OA(537, 1953125, F5, 6) (dual of [1953125, 1953088, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(536, 1953124, F5, 5) (dual of [1953124, 1953088, 6]-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 (118, 128, 4332001)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (127, 138, 4332001)-net over F5 | [i] | ||
| 3 | Digital (124, 135, 3630854)-net over F5 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 4 | Digital (122, 133, 3630848)-net over F5 | [i] | ||
| 5 | Digital (123, 134, 3630873)-net over F5 | [i] | ||
| 6 | Digital (124, 135, 3630998)-net over F5 | [i] | ||
| 7 | Digital (120, 131, 3630842)-net over F5 | [i] | ||