Information on Result #1556003
Linear OOA(8117, large, F8, 3, 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, 3, 16) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8117, large, F8, 3, 15) | [i] | ||
| 3 | Linear OOA(8117, large, F8, 3, 14) | [i] | ||
| 4 | Linear OOA(8117, large, F8, 3, 13) | [i] | ||
| 5 | Linear OOA(8117, large, F8, 3, 12) | [i] | ||
| 6 | Linear OOA(8120, large, F8, 3, 17) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(8123, large, F8, 3, 17) | [i] | ||
| 8 | Linear OOA(8126, large, F8, 3, 17) | [i] | ||
| 9 | Linear OOA(8129, large, F8, 3, 17) | [i] | ||
| 10 | Linear OOA(8135, large, F8, 3, 17) | [i] | ||
| 11 | Linear OOA(8138, large, F8, 3, 17) | [i] | ||
| 12 | Linear OOA(8141, large, F8, 3, 17) | [i] | ||
| 13 | Linear OOA(8144, large, F8, 3, 17) | [i] | ||
| 14 | Linear OOA(8147, large, F8, 3, 17) | [i] | ||
| 15 | Linear OOA(8150, large, F8, 3, 17) | [i] | ||
| 16 | Linear OOA(8156, large, F8, 3, 17) | [i] | ||
| 17 | Linear OOA(8159, large, F8, 3, 17) | [i] | ||
| 18 | Linear OOA(8162, large, F8, 3, 17) | [i] | ||
| 19 | Linear OOA(8165, large, F8, 3, 17) | [i] | ||
| 20 | Linear OOA(8171, large, F8, 3, 17) | [i] | ||
| 21 | Linear OOA(8118, large, F8, 3, 17) | [i] | OOA Duplication | |
| 22 | Linear OOA(8119, large, F8, 3, 17) | [i] | ||
| 23 | Linear OOA(8117, 2796200, F8, 21, 17) (dual of [(2796200, 21), 58720083, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |