Information on Result #1556333
Linear OOA(8124, large, F8, 3, 18), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(8124, large, F8, 18) (dual of [large, large−124, 19]-code), using
- 3 times code embedding in larger space [i] based on linear OA(8121, large, F8, 18) (dual of [large, large−121, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(8124, large, F8, 3, 17) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8124, large, F8, 3, 16) | [i] | ||
| 3 | Linear OOA(8124, large, F8, 3, 15) | [i] | ||
| 4 | Linear OOA(8124, large, F8, 3, 14) | [i] | ||
| 5 | Linear OOA(8124, large, F8, 3, 13) | [i] | ||
| 6 | Linear OOA(8124, large, F8, 3, 12) | [i] | ||
| 7 | Linear OOA(8127, large, F8, 3, 18) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(8130, large, F8, 3, 18) | [i] | ||
| 9 | Linear OOA(8133, large, F8, 3, 18) | [i] | ||
| 10 | Linear OOA(8136, large, F8, 3, 18) | [i] | ||
| 11 | Linear OOA(8142, large, F8, 3, 18) | [i] | ||
| 12 | Linear OOA(8145, large, F8, 3, 18) | [i] | ||
| 13 | Linear OOA(8148, large, F8, 3, 18) | [i] | ||
| 14 | Linear OOA(8151, large, F8, 3, 18) | [i] | ||
| 15 | Linear OOA(8154, large, F8, 3, 18) | [i] | ||
| 16 | Linear OOA(8157, large, F8, 3, 18) | [i] | ||
| 17 | Linear OOA(8160, large, F8, 3, 18) | [i] | ||
| 18 | Linear OOA(8163, large, F8, 3, 18) | [i] | ||
| 19 | Linear OOA(8166, large, F8, 3, 18) | [i] | ||
| 20 | Linear OOA(8169, large, F8, 3, 18) | [i] | ||
| 21 | Linear OOA(8172, large, F8, 3, 18) | [i] | ||
| 22 | Linear OOA(8125, large, F8, 3, 18) | [i] | OOA Duplication | |
| 23 | Linear OOA(8126, large, F8, 3, 18) | [i] | ||
| 24 | Linear OOA(8124, 2796200, F8, 21, 18) (dual of [(2796200, 21), 58720076, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |