Information on Result #1095401
Linear OOA(2126, 52428, F2, 5, 14) (dual of [(52428, 5), 262014, 15]-NRT-code), using OOA 5-folding based on linear OA(2126, 262140, F2, 14) (dual of [262140, 262014, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2126, 262143, F2, 14) (dual of [262143, 262017, 15]-code), using
- 1 times truncation [i] based on linear OA(2127, 262144, F2, 15) (dual of [262144, 262017, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 1 times truncation [i] based on linear OA(2127, 262144, F2, 15) (dual of [262144, 262017, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2126, 52428, F2, 6, 14) (dual of [(52428, 6), 314442, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2126, 52428, F2, 7, 14) (dual of [(52428, 7), 366870, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2126, 52428, F2, 8, 14) (dual of [(52428, 8), 419298, 15]-NRT-code) | [i] | ||
| 4 | Digital (112, 126, 52428)-net over F2 | [i] | ||