Information on Result #675786
Linear OA(390, 2207, F3, 19) (dual of [2207, 2117, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
- linear OA(385, 2188, F3, 19) (dual of [2188, 2103, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(371, 2188, F3, 15) (dual of [2188, 2117, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(391, 2208, F3, 19) (dual of [2208, 2117, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(390, 1114, F3, 2, 19) (dual of [(1114, 2), 2138, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(390, 1114, F3, 3, 19) (dual of [(1114, 3), 3252, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(390, 1114, F3, 4, 19) (dual of [(1114, 4), 4366, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(390, 1114, F3, 5, 19) (dual of [(1114, 5), 5480, 20]-NRT-code) | [i] | ||
| 6 | Digital (71, 90, 1114)-net over F3 | [i] | ||
| 7 | Linear OOA(390, 1103, F3, 2, 19) (dual of [(1103, 2), 2116, 20]-NRT-code) | [i] | OOA Folding | |