Information on Result #1188088
Digital (34, 39, 976592)-net over F5, using net defined by OOA based on linear OOA(539, 976592, F5, 6, 5) (dual of [(976592, 6), 5859513, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(539, 976593, F5, 2, 5) (dual of [(976593, 2), 1953147, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- linear OOA(536, 976562, F5, 2, 5) (dual of [(976562, 2), 1953088, 6]-NRT-code), using
- OOA 2-folding [i] 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
- OOA 2-folding [i] based on linear OA(536, 1953124, F5, 5) (dual of [1953124, 1953088, 6]-code), using
- linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
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 (121, 131, 4332032)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (130, 141, 4332032)-net over F5 | [i] | ||
| 3 | Digital (123, 134, 3630904)-net over F5 | [i] | Generalized (u, u+v)-Construction for Nets | |