Information on Result #813554
Linear OOA(3102, 3291, F3, 2, 19) (dual of [(3291, 2), 6480, 20]-NRT-code), using OOA 2-folding based on linear OA(3102, 6582, F3, 19) (dual of [6582, 6480, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [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]
- linear OA(381, 6562, F3, 15) (dual of [6562, 6481, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3102, 3247, F3, 3, 19) (dual of [(3247, 3), 9639, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3102, 3247, F3, 4, 19) (dual of [(3247, 4), 12886, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3102, 3247, F3, 5, 19) (dual of [(3247, 5), 16133, 20]-NRT-code) | [i] | ||
| 4 | Digital (83, 102, 3247)-net over F3 | [i] | ||