Information on Result #692534
Linear OA(1666, 262, F16, 37) (dual of [262, 196, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,17]) based on
- linear OA(1665, 257, F16, 37) (dual of [257, 192, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(1661, 257, F16, 35) (dual of [257, 196, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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(1667, 263, F16, 37) (dual of [263, 196, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(1668, 264, F16, 37) (dual of [264, 196, 38]-code) | [i] | ||
| 3 | Linear OA(1665, 261, F16, 36) (dual of [261, 196, 37]-code) | [i] | Truncation | |
| 4 | Linear OOA(1666, 131, F16, 2, 37) (dual of [(131, 2), 196, 38]-NRT-code) | [i] | OOA Folding | |