Information on Result #952261
Linear OOA(3112, 1594323, F3, 3, 12) (dual of [(1594323, 3), 4782857, 13]-NRT-code), using OOA 3-folding based on linear OA(3112, 4782969, F3, 12) (dual of [4782969, 4782857, 13]-code), using
- 1 times truncation [i] based on linear OA(3113, 4782970, F3, 13) (dual of [4782970, 4782857, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3112, 1594323, F3, 4, 12) (dual of [(1594323, 4), 6377180, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3112, 1594323, F3, 5, 12) (dual of [(1594323, 5), 7971503, 13]-NRT-code) | [i] | ||
| 3 | Digital (100, 112, 1594323)-net over F3 | [i] | ||