Information on Result #675772
Linear OA(3146, 2207, F3, 31) (dual of [2207, 2061, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,13]) based on
- linear OA(3141, 2188, F3, 31) (dual of [2188, 2047, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3127, 2188, F3, 27) (dual of [2188, 2061, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(35, 19, F3, 3) (dual of [19, 14, 4]-code or 19-cap in PG(4,3)), using
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 OA(3147, 2208, F3, 31) (dual of [2208, 2061, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3146, 1391, F3, 2, 31) (dual of [(1391, 2), 2636, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3146, 1391, F3, 3, 31) (dual of [(1391, 3), 4027, 32]-NRT-code) | [i] | ||
| 4 | Linear OOA(3146, 1391, F3, 4, 31) (dual of [(1391, 4), 5418, 32]-NRT-code) | [i] | ||
| 5 | Linear OOA(3146, 1391, F3, 5, 31) (dual of [(1391, 5), 6809, 32]-NRT-code) | [i] | ||
| 6 | Digital (115, 146, 1391)-net over F3 | [i] | ||
| 7 | Linear OOA(3146, 1103, F3, 2, 31) (dual of [(1103, 2), 2060, 32]-NRT-code) | [i] | OOA Folding | |