Information on Result #1752106
Digital (134, 149, 349529)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2149, 349529, F2, 6, 15) (dual of [(349529, 6), 2097025, 16]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2149, 2097174, F2, 15) (dual of [2097174, 2097025, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(2148, 2097152, F2, 15) (dual of [2097152, 2097004, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2127, 2097152, F2, 13) (dual of [2097152, 2097025, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
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 (135, 150, 349529)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (136, 151, 349529)-net over F2 | [i] | ||
| 3 | Digital (137, 152, 349529)-net over F2 | [i] | ||