Information on Result #692523
Linear OA(16126, 262, F16, 75) (dual of [262, 136, 76]-code), using construction X applied to C([0,37]) ⊂ C([0,36]) based on
- linear OA(16125, 257, F16, 75) (dual of [257, 132, 76]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,37], and minimum distance d ≥ |{−37,−36,…,37}|+1 = 76 (BCH-bound) [i]
- linear OA(16121, 257, F16, 73) (dual of [257, 136, 74]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,36], and minimum distance d ≥ |{−36,−35,…,36}|+1 = 74 (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 OOA(16126, 131, F16, 2, 75) (dual of [(131, 2), 136, 76]-NRT-code) | [i] | OOA Folding | |