Information on Result #1305529
Linear OA(3234, 2265, F3, 48) (dual of [2265, 2031, 49]-code), using 68 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 10 times 0, 1, 15 times 0, 1, 21 times 0) based on linear OA(3224, 2187, F3, 48) (dual of [2187, 1963, 49]-code), using
- 1 times truncation [i] based on linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
Mode: 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(3234, 2265, F3, 2, 48) (dual of [(2265, 2), 4296, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3234, 2265, F3, 3, 48) (dual of [(2265, 3), 6561, 49]-NRT-code) | [i] | ||
| 3 | Linear OOA(3234, 2265, F3, 4, 48) (dual of [(2265, 4), 8826, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(3234, 2265, F3, 5, 48) (dual of [(2265, 5), 11091, 49]-NRT-code) | [i] | ||
| 5 | Digital (186, 234, 2265)-net over F3 | [i] | ||
| 6 | Linear OOA(3234, 1132, F3, 2, 48) (dual of [(1132, 2), 2030, 49]-NRT-code) | [i] | OOA Folding | |