Information on Result #687645
Linear OA(850, 520, F8, 19) (dual of [520, 470, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,8]) based on
- linear OA(849, 513, F8, 19) (dual of [513, 464, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(843, 513, F8, 17) (dual of [513, 470, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(850, 402, F8, 2, 19) (dual of [(402, 2), 754, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(850, 402, F8, 3, 19) (dual of [(402, 3), 1156, 20]-NRT-code) | [i] | ||
| 3 | Digital (31, 50, 402)-net over F8 | [i] | ||
| 4 | Linear OOA(850, 260, F8, 2, 19) (dual of [(260, 2), 470, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(850, 173, F8, 3, 19) (dual of [(173, 3), 469, 20]-NRT-code) | [i] | ||