Information on Result #1189054
Digital (105, 121, 1048575)-net over F5, using net defined by OOA based on linear OOA(5121, 1048575, F5, 16, 16) (dual of [(1048575, 16), 16777079, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(5121, 8388600, F5, 16) (dual of [8388600, 8388479, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-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 (106, 122, 1048575)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (107, 123, 1048575)-net over F5 | [i] | ||
| 3 | Digital (108, 124, 1048575)-net over F5 | [i] | ||
| 4 | Digital (109, 125, 1048575)-net over F5 | [i] | ||
| 5 | Digital (110, 126, 1048575)-net over F5 | [i] | ||
| 6 | Digital (111, 127, 1048575)-net over F5 | [i] | ||
| 7 | Digital (112, 128, 1048575)-net over F5 | [i] | ||
| 8 | Digital (113, 129, 1048581)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 9 | Digital (114, 130, 1048585)-net over F5 | [i] | ||
| 10 | Digital (115, 131, 1048587)-net over F5 | [i] | ||
| 11 | Digital (116, 132, 1048591)-net over F5 | [i] | ||
| 12 | Digital (117, 133, 1048593)-net over F5 | [i] | ||
| 13 | Digital (118, 134, 1048595)-net over F5 | [i] | ||
| 14 | Digital (119, 135, 1048596)-net over F5 | [i] | ||
| 15 | Digital (120, 136, 1048601)-net over F5 | [i] | ||
| 16 | Digital (121, 137, 1048627)-net over F5 | [i] | ||
| 17 | Digital (123, 139, 1048629)-net over F5 | [i] | ||
| 18 | Digital (125, 141, 1048633)-net over F5 | [i] | ||
| 19 | Digital (126, 142, 1048639)-net over F5 | [i] | ||
| 20 | Digital (127, 143, 1048679)-net over F5 | [i] | ||
| 21 | Digital (129, 145, 1048707)-net over F5 | [i] | ||
| 22 | Digital (130, 146, 1048733)-net over F5 | [i] | ||
| 23 | Digital (132, 148, 1048734)-net over F5 | [i] | ||
| 24 | Digital (134, 150, 1048739)-net over F5 | [i] | ||