Information on Result #692529
Linear OA(1686, 262, F16, 47) (dual of [262, 176, 48]-code), using construction X applied to C([0,23]) ⊂ C([0,22]) based on
- linear OA(1685, 257, F16, 47) (dual of [257, 172, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (BCH-bound) [i]
- linear OA(1681, 257, F16, 45) (dual of [257, 176, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(1688, 269, F16, 47) (dual of [269, 181, 48]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(1686, 131, F16, 2, 47) (dual of [(131, 2), 176, 48]-NRT-code) | [i] | OOA Folding | |