Information on Result #686208
Linear OA(8106, 2097188, F8, 17) (dual of [2097188, 2097082, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(871, 2097153, F8, 11) (dual of [2097153, 2097082, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(87, 35, F8, 5) (dual of [35, 28, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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(8106, 1924405, F8, 2, 17) (dual of [(1924405, 2), 3848704, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8106, 1924405, F8, 3, 17) (dual of [(1924405, 3), 5773109, 18]-NRT-code) | [i] | ||
| 3 | Digital (89, 106, 1924405)-net over F8 | [i] | ||