Information on Result #692522
Linear OA(16130, 262, F16, 77) (dual of [262, 132, 78]-code), using construction X applied to C([0,38]) ⊂ C([0,37]) based on
- linear OA(16129, 257, F16, 77) (dual of [257, 128, 78]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,38], and minimum distance d ≥ |{−38,−37,…,38}|+1 = 78 (BCH-bound) [i]
- 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(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(16130, 131, F16, 2, 77) (dual of [(131, 2), 132, 78]-NRT-code) | [i] | OOA Folding | |