Information on Result #1189546
Digital (119, 145, 6011)-net over F5, using net defined by OOA based on linear OOA(5145, 6011, F5, 26, 26) (dual of [(6011, 26), 156141, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(5145, 78143, F5, 26) (dual of [78143, 77998, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5145, 78150, F5, 26) (dual of [78150, 78005, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5120, 78125, F5, 22) (dual of [78125, 78005, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(5145, 78150, F5, 26) (dual of [78150, 78005, 27]-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 (120, 146, 6011)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (121, 147, 6011)-net over F5 | [i] | ||