Information on Result #1536456
Linear OOA(4124, large, F4, 3, 13), using embedding of OOA with Gilbert–VarÅ¡amov bound based on linear OA(4124, large, F4, 13) (dual of [large, large−124, 14]-code), using
- 15 times code embedding in larger space [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(4124, large, F4, 3, 12) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4127, large, F4, 3, 13) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(4130, large, F4, 3, 13) | [i] | ||
| 4 | Linear OOA(4133, large, F4, 3, 13) | [i] | ||
| 5 | Linear OOA(4136, large, F4, 3, 13) | [i] | ||
| 6 | Linear OOA(4139, large, F4, 3, 13) | [i] | ||
| 7 | Linear OOA(4142, large, F4, 3, 13) | [i] | ||
| 8 | Linear OOA(4125, large, F4, 3, 13) | [i] | OOA Duplication | |
| 9 | Linear OOA(4126, large, F4, 3, 13) | [i] | ||
| 10 | Linear OOA(4124, 4194301, F4, 15, 13) (dual of [(4194301, 15), 62914391, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |