Information on Result #2264633
Linear OA(3147, large, F3, 13) (dual of [large, large−147, 14]-code), using 26 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(3147, 5280604, F3, 2, 13) (dual of [(5280604, 2), 10561061, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3147, 5280604, F3, 3, 13) (dual of [(5280604, 3), 15841665, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(3147, 5280604, F3, 4, 13) (dual of [(5280604, 4), 21122269, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3147, 5280604, F3, 5, 13) (dual of [(5280604, 5), 26402873, 14]-NRT-code) | [i] | ||
| 5 | Digital (134, 147, 5280604)-net over F3 | [i] | ||