Information on Result #2226846
Linear OA(2225, 2064, F2, 40) (dual of [2064, 1839, 41]-code), using 1 times truncation based on linear OA(2226, 2065, F2, 41) (dual of [2065, 1839, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,18]) [i] based on
- linear OA(2221, 2049, F2, 41) (dual of [2049, 1828, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(2199, 2049, F2, 37) (dual of [2049, 1850, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), 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(2225, 1032, F2, 2, 40) (dual of [(1032, 2), 1839, 41]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2225, 688, F2, 3, 40) (dual of [(688, 3), 1839, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(2225, 516, F2, 4, 40) (dual of [(516, 4), 1839, 41]-NRT-code) | [i] | ||
| 4 | Linear OOA(2225, 344, F2, 6, 40) (dual of [(344, 6), 1839, 41]-NRT-code) | [i] | ||
| 5 | Linear OOA(2225, 258, F2, 8, 40) (dual of [(258, 8), 1839, 41]-NRT-code) | [i] | ||