Information on Result #1304888
Linear OA(3186, 2291, F3, 37) (dual of [2291, 2105, 38]-code), using 86 step Varšamov–Edel lengthening with (ri) = (5, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 6 times 0, 1, 9 times 0, 1, 12 times 0, 1, 15 times 0, 1, 20 times 0) based on linear OA(3169, 2188, F3, 37) (dual of [2188, 2019, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(3186, 2280, F3, 2, 37) (dual of [(2280, 2), 4374, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3186, 2280, F3, 3, 37) (dual of [(2280, 3), 6654, 38]-NRT-code) | [i] | ||
| 3 | Linear OOA(3186, 2280, F3, 4, 37) (dual of [(2280, 4), 8934, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(3186, 2280, F3, 5, 37) (dual of [(2280, 5), 11214, 38]-NRT-code) | [i] | ||
| 5 | Digital (149, 186, 2280)-net over F3 | [i] | ||
| 6 | Linear OOA(3186, 1145, F3, 2, 37) (dual of [(1145, 2), 2104, 38]-NRT-code) | [i] | OOA Folding | |