Information on Result #814288
Linear OOA(3134, 3291, F3, 2, 25) (dual of [(3291, 2), 6448, 26]-NRT-code), using OOA 2-folding based on linear OA(3134, 6582, F3, 25) (dual of [6582, 6448, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(3134, 3279, F3, 3, 25) (dual of [(3279, 3), 9703, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3134, 3279, F3, 4, 25) (dual of [(3279, 4), 12982, 26]-NRT-code) | [i] | ||
| 3 | Linear OOA(3134, 3279, F3, 5, 25) (dual of [(3279, 5), 16261, 26]-NRT-code) | [i] | ||
| 4 | Digital (109, 134, 3279)-net over F3 | [i] | ||