Information on Result #687643
Linear OA(862, 520, F8, 23) (dual of [520, 458, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(861, 513, F8, 23) (dual of [513, 452, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(855, 513, F8, 21) (dual of [513, 458, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(862, 509, F8, 2, 23) (dual of [(509, 2), 956, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(862, 509, F8, 3, 23) (dual of [(509, 3), 1465, 24]-NRT-code) | [i] | ||
| 3 | Digital (39, 62, 509)-net over F8 | [i] | ||
| 4 | Linear OOA(862, 260, F8, 2, 23) (dual of [(260, 2), 458, 24]-NRT-code) | [i] | OOA Folding | |