Information on Result #1187384
Digital (144, 169, 21848)-net over F4, using net defined by OOA based on linear OOA(4169, 21848, F4, 25, 25) (dual of [(21848, 25), 546031, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4169, 262177, F4, 25) (dual of [262177, 262008, 26]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4168, 262176, F4, 25) (dual of [262176, 262008, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(24) ⊂ Ce(20) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4168, 262176, F4, 25) (dual of [262176, 262008, 26]-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 (145, 169, 21848)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (145, 170, 21848)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (146, 171, 21848)-net over F4 | [i] | ||
| 4 | Digital (147, 172, 21848)-net over F4 | [i] | ||