Information on Result #1541075
Linear OOA(4197, large, F4, 3, 20), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(4197, large, F4, 20) (dual of [large, large−197, 21]-code), using
- 17 times code embedding in larger space [i] based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4197, large, F4, 3, 19) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4197, large, F4, 3, 18) | [i] | ||
| 3 | Linear OOA(4200, large, F4, 3, 20) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(4203, large, F4, 3, 20) | [i] | ||
| 5 | Linear OOA(4206, large, F4, 3, 20) | [i] | ||
| 6 | Linear OOA(4209, large, F4, 3, 20) | [i] | ||
| 7 | Linear OOA(4212, large, F4, 3, 20) | [i] | ||
| 8 | Linear OOA(4215, large, F4, 3, 20) | [i] | ||
| 9 | Linear OOA(4218, large, F4, 3, 20) | [i] | ||
| 10 | Linear OOA(4221, large, F4, 3, 20) | [i] | ||
| 11 | Linear OOA(4224, large, F4, 3, 20) | [i] | ||
| 12 | Linear OOA(4230, large, F4, 3, 20) | [i] | ||
| 13 | Linear OOA(4198, large, F4, 3, 20) | [i] | OOA Duplication | |
| 14 | Linear OOA(4199, large, F4, 3, 20) | [i] | ||
| 15 | Linear OOA(4197, 2097150, F4, 27, 20) (dual of [(2097150, 27), 56622853, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |