Information on Result #813436
Linear OOA(396, 3280, F3, 2, 18) (dual of [(3280, 2), 6464, 19]-NRT-code), using OOA 2-folding based on linear OA(396, 6560, F3, 18) (dual of [6560, 6464, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(396, 6561, F3, 18) (dual of [6561, 6465, 19]-code), using
- 1 times truncation [i] based on linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), 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(396, 3124, F3, 3, 18) (dual of [(3124, 3), 9276, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(396, 3124, F3, 4, 18) (dual of [(3124, 4), 12400, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(396, 3124, F3, 5, 18) (dual of [(3124, 5), 15524, 19]-NRT-code) | [i] | ||
| 4 | Digital (78, 96, 3124)-net over F3 | [i] | ||