Information on Result #1187696
Digital (211, 240, 299596)-net over F4, using net defined by OOA based on linear OOA(4240, 299596, F4, 29, 29) (dual of [(299596, 29), 8688044, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4240, 4194345, F4, 29) (dual of [4194345, 4194105, 30]-code), using
- 3 times code embedding in larger space [i] based on linear OA(4237, 4194342, F4, 29) (dual of [4194342, 4194105, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(24) [i] based on
- linear OA(4232, 4194304, F4, 29) (dual of [4194304, 4194072, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4199, 4194304, F4, 25) (dual of [4194304, 4194105, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(45, 38, F4, 3) (dual of [38, 33, 4]-code or 38-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
- 3 times code embedding in larger space [i] based on linear OA(4237, 4194342, F4, 29) (dual of [4194342, 4194105, 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 (212, 240, 299596)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (212, 241, 299596)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (213, 242, 299596)-net over F4 | [i] | ||