Information on Result #1445465
Linear OOA(8117, large, F8, 2, 17), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(8117, large, F8, 17) (dual of [large, large−117, 18]-code), using
- 4 times code embedding in larger space [i] based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
Mode: Linear.
Optimality
Show details for fixed k and m, k and t, m 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(8117, large, F8, 2, 16) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8119, large, F8, 2, 17) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8121, large, F8, 2, 17) | [i] | ||
| 4 | Linear OOA(8123, large, F8, 2, 17) | [i] | ||
| 5 | Linear OOA(8125, large, F8, 2, 17) | [i] | ||
| 6 | Linear OOA(8127, large, F8, 2, 17) | [i] | ||
| 7 | Linear OOA(8129, large, F8, 2, 17) | [i] | ||
| 8 | Linear OOA(8131, large, F8, 2, 17) | [i] | ||
| 9 | Linear OOA(8118, large, F8, 2, 17) | [i] | OOA Duplication | |
| 10 | Linear OOA(8117, 4194301, F8, 3, 17) (dual of [(4194301, 3), 12582786, 18]-NRT-code) | [i] | OOA Folding | |