Information on Result #675852
Linear OA(3118, 2208, F3, 23) (dual of [2208, 2090, 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(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-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 OOA(3118, 1956, F3, 2, 23) (dual of [(1956, 2), 3794, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3118, 1956, F3, 3, 23) (dual of [(1956, 3), 5750, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(3118, 1956, F3, 4, 23) (dual of [(1956, 4), 7706, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(3118, 1956, F3, 5, 23) (dual of [(1956, 5), 9662, 24]-NRT-code) | [i] | ||
| 5 | Digital (95, 118, 1956)-net over F3 | [i] | ||