Information on Result #686193
Linear OA(8102, 2097163, F8, 17) (dual of [2097163, 2097061, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) 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(885, 2097153, F8, 13) (dual of [2097153, 2097068, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), 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(8102, 1105277, F8, 2, 17) (dual of [(1105277, 2), 2210452, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8102, 1105277, F8, 3, 17) (dual of [(1105277, 3), 3315729, 18]-NRT-code) | [i] | ||
| 3 | Digital (85, 102, 1105277)-net over F8 | [i] | ||