Information on Result #1061286
Linear OOA(3241, 2097150, F3, 4, 25) (dual of [(2097150, 4), 8388359, 26]-NRT-code), using OOA 4-folding based on linear OA(3241, 8388600, F3, 25) (dual of [8388600, 8388359, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, large, F3, 25) (dual of [large, large−241, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3241, 2097150, F3, 4, 24) (dual of [(2097150, 4), 8388359, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3242, 2097150, F3, 4, 25) (dual of [(2097150, 4), 8388358, 26]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3241, 1871366, F3, 5, 25) (dual of [(1871366, 5), 9356589, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (216, 241, 1871366)-net over F3 | [i] | ||