Information on Result #1751671
Digital (128, 140, 2097151)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2140, 2097151, F2, 4, 12) (dual of [(2097151, 4), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2140, 4194302, F2, 2, 12) (dual of [(4194302, 2), 8388464, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2138, large, F2, 12) (dual of [large, large−138, 13]-code), using
- OOA 2-folding [i] based on linear OA(2138, 8388602, F2, 12) (dual of [8388602, 8388464, 13]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2138, 4194301, F2, 2, 12) (dual of [(4194301, 2), 8388464, 13]-NRT-code), using
Mode: 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 (129, 141, 2097151)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (130, 142, 2097151)-net over F2 | [i] | ||
| 3 | Digital (131, 143, 2097151)-net over F2 | [i] | ||