Information on Result #2264476
Linear OA(3137, large, F3, 12) (dual of [large, large−137, 13]-code), using 17 times code embedding in larger space 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: Constructive and 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(3137, 6979026, F3, 2, 12) (dual of [(6979026, 2), 13957915, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3137, 6979026, F3, 3, 12) (dual of [(6979026, 3), 20936941, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(3137, 6979026, F3, 4, 12) (dual of [(6979026, 4), 27915967, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(3137, 6979026, F3, 5, 12) (dual of [(6979026, 5), 34894993, 13]-NRT-code) | [i] | ||
| 5 | Digital (125, 137, 6979026)-net over F3 | [i] | ||