Information on Result #2661676
Linear OOA(3214, 531451, F3, 3, 24) (dual of [(531451, 3), 1594139, 25]-NRT-code), using 1 step truncation based on linear OOA(3215, 531452, F3, 3, 25) (dual of [(531452, 3), 1594141, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3215, 1594356, F3, 25) (dual of [1594356, 1594141, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(3209, 1594324, F3, 25) (dual of [1594324, 1594115, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3183, 1594324, F3, 21) (dual of [1594324, 1594141, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(36, 32, F3, 3) (dual of [32, 26, 4]-code or 32-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
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
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(3214, 448629, F3, 4, 24) (dual of [(448629, 4), 1794302, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3214, 448629, F3, 5, 24) (dual of [(448629, 5), 2242931, 25]-NRT-code) | [i] | ||
| 3 | Digital (190, 214, 448629)-net over F3 | [i] | ||