Information on Result #1095509
Linear OOA(2133, 52435, F2, 5, 15) (dual of [(52435, 5), 262042, 16]-NRT-code), using OOA 5-folding based on linear OA(2133, 262175, F2, 15) (dual of [262175, 262042, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2133, 262176, F2, 15) (dual of [262176, 262043, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(10) [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]
- linear OA(291, 262144, F2, 11) (dual of [262144, 262053, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(14) ⊂ Ce(10) [i] based on
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(2133, 52435, F2, 6, 15) (dual of [(52435, 6), 314477, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2133, 52435, F2, 7, 15) (dual of [(52435, 7), 366912, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(2133, 52435, F2, 8, 15) (dual of [(52435, 8), 419347, 16]-NRT-code) | [i] | ||
| 4 | Digital (118, 133, 52435)-net over F2 | [i] | ||