Information on Result #1523710
Linear OOA(3139, large, F3, 3, 12), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(3139, large, F3, 12) (dual of [large, large−139, 13]-code), using
- 19 times code embedding in larger space [i] based on linear OA(3120, large, F3, 12) (dual of [large, large−120, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(3139, large, F3, 3, 11) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3139, large, F3, 3, 10) | [i] | ||
| 3 | Linear OOA(3142, large, F3, 3, 12) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3145, large, F3, 3, 12) | [i] | ||
| 5 | Linear OOA(3148, large, F3, 3, 12) | [i] | ||
| 6 | Linear OOA(3151, large, F3, 3, 12) | [i] | ||
| 7 | Linear OOA(3154, large, F3, 3, 12) | [i] | ||
| 8 | Linear OOA(3157, large, F3, 3, 12) | [i] | ||
| 9 | Linear OOA(3160, large, F3, 3, 12) | [i] | ||
| 10 | Linear OOA(3163, large, F3, 3, 12) | [i] | ||
| 11 | Linear OOA(3166, large, F3, 3, 12) | [i] | ||
| 12 | Linear OOA(3169, large, F3, 3, 12) | [i] | ||
| 13 | Linear OOA(3172, large, F3, 3, 12) | [i] | ||
| 14 | Linear OOA(3175, large, F3, 3, 12) | [i] | ||
| 15 | Linear OOA(3140, large, F3, 3, 12) | [i] | OOA Duplication | |
| 16 | Linear OOA(3141, large, F3, 3, 12) | [i] | ||
| 17 | Linear OOA(3139, 4194301, F3, 5, 12) (dual of [(4194301, 5), 20971366, 13]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(3139, 4194301, F3, 15, 12) (dual of [(4194301, 15), 62914376, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |