Information on Result #1187684
Digital (191, 220, 74901)-net over F4, using net defined by OOA based on linear OOA(4220, 74901, F4, 29, 29) (dual of [(74901, 29), 2171909, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4220, 1048615, F4, 29) (dual of [1048615, 1048395, 30]-code), using
- 4 times code embedding in larger space [i] based on linear OA(4216, 1048611, F4, 29) (dual of [1048611, 1048395, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
- linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(45, 35, F4, 3) (dual of [35, 30, 4]-code or 35-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(28) ⊂ Ce(24) [i] based on
- 4 times code embedding in larger space [i] based on linear OA(4216, 1048611, F4, 29) (dual of [1048611, 1048395, 30]-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 (192, 220, 74901)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (192, 221, 74901)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (193, 222, 74901)-net over F4 | [i] | ||
| 4 | Digital (194, 223, 74901)-net over F4 | [i] | ||
| 5 | Digital (191, 219, 74901)-net over F4 | [i] | m-Reduction | |