Information on Result #1518999
Linear OOA(2247, 957, F2, 3, 44) (dual of [(957, 3), 2624, 45]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2247, 957, F2, 2, 44) (dual of [(957, 2), 1667, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2247, 1032, F2, 2, 44) (dual of [(1032, 2), 1817, 45]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2247, 2064, F2, 44) (dual of [2064, 1817, 45]-code), using
- 1 times truncation [i] based on linear OA(2248, 2065, F2, 45) (dual of [2065, 1817, 46]-code), using
- construction X applied to C([0,22]) ⊂ C([0,20]) [i] based on
- linear OA(2243, 2049, F2, 45) (dual of [2049, 1806, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- 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(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- construction X applied to C([0,22]) ⊂ C([0,20]) [i] based on
- 1 times truncation [i] based on linear OA(2248, 2065, F2, 45) (dual of [2065, 1817, 46]-code), using
- OOA 2-folding [i] based on linear OA(2247, 2064, F2, 44) (dual of [2064, 1817, 45]-code), using
Mode: 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(2247, 478, F2, 5, 44) (dual of [(478, 5), 2143, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2247, 478, F2, 6, 44) (dual of [(478, 6), 2621, 45]-NRT-code) | [i] | ||