Information on Result #2264632
Linear OA(3146, large, F3, 13) (dual of [large, large−146, 14]-code), using 25 times code embedding in larger space based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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(3146, 4778690, F3, 2, 13) (dual of [(4778690, 2), 9557234, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3146, 4778690, F3, 3, 13) (dual of [(4778690, 3), 14335924, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3146, 4778690, F3, 4, 13) (dual of [(4778690, 4), 19114614, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3146, 4778690, F3, 5, 13) (dual of [(4778690, 5), 23893304, 14]-NRT-code) | [i] | ||
| 5 | Digital (133, 146, 4778690)-net over F3 | [i] | ||