Information on Result #1323444
Linear OA(2260, 2110, F2, 44) (dual of [2110, 1850, 45]-code), using construction X applied to C([0,22]) ⊂ C([0,18]) 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(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(217, 61, F2, 6) (dual of [61, 44, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(217, 63, F2, 6) (dual of [63, 46, 7]-code), using
- a “cy†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(217, 63, F2, 6) (dual of [63, 46, 7]-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(2260, 1055, F2, 2, 44) (dual of [(1055, 2), 1850, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2260, 703, F2, 3, 44) (dual of [(703, 3), 1849, 45]-NRT-code) | [i] | ||