Information on Result #675853
Linear OA(3119, 2222, F3, 23) (dual of [2222, 2103, 24]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 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(36, 34, F3, 3) (dual of [34, 28, 4]-code or 34-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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 OOA(3119, 2062, F3, 2, 23) (dual of [(2062, 2), 4005, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3119, 2062, F3, 3, 23) (dual of [(2062, 3), 6067, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3119, 2062, F3, 4, 23) (dual of [(2062, 4), 8129, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3119, 2062, F3, 5, 23) (dual of [(2062, 5), 10191, 24]-NRT-code) | [i] | ||
| 5 | Digital (96, 119, 2062)-net over F3 | [i] | ||