Information on Result #2228089
Linear OA(344, 177147, F3, 6) (dual of [177147, 177103, 7]-code), using 1 times truncation based on linear OA(345, 177148, F3, 7) (dual of [177148, 177103, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
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(344, 148959, F3, 2, 6) (dual of [(148959, 2), 297874, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(344, 148959, F3, 3, 6) (dual of [(148959, 3), 446833, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(344, 148959, F3, 4, 6) (dual of [(148959, 4), 595792, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(344, 148959, F3, 5, 6) (dual of [(148959, 5), 744751, 7]-NRT-code) | [i] | ||
| 5 | Linear OOA(344, 88573, F3, 2, 6) (dual of [(88573, 2), 177102, 7]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(344, 59049, F3, 3, 6) (dual of [(59049, 3), 177103, 7]-NRT-code) | [i] | ||
| 7 | Linear OOA(344, 59049, F3, 4, 6) (dual of [(59049, 4), 236152, 7]-NRT-code) | [i] | OA Folding and Stacking | |
| 8 | Linear OOA(344, 59049, F3, 5, 6) (dual of [(59049, 5), 295201, 7]-NRT-code) | [i] | ||