Information on Result #1095990
Linear OOA(2176, 26220, F2, 5, 20) (dual of [(26220, 5), 130924, 21]-NRT-code), using OOA 5-folding based on linear OA(2176, 131100, F2, 20) (dual of [131100, 130924, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2176, 131104, F2, 20) (dual of [131104, 130928, 21]-code), using
- 1 times truncation [i] based on linear OA(2177, 131105, F2, 21) (dual of [131105, 130928, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(2171, 131073, F2, 21) (dual of [131073, 130902, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2137, 131073, F2, 17) (dual of [131073, 130936, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 131073 | 234−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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 C([0,10]) ⊂ C([0,8]) [i] based on
- 1 times truncation [i] based on linear OA(2177, 131105, F2, 21) (dual of [131105, 130928, 22]-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(2176, 26220, F2, 6, 20) (dual of [(26220, 6), 157144, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2176, 26220, F2, 7, 20) (dual of [(26220, 7), 183364, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(2176, 26220, F2, 8, 20) (dual of [(26220, 8), 209584, 21]-NRT-code) | [i] | ||
| 4 | Digital (156, 176, 26220)-net over F2 | [i] | ||