Information on Result #2232006
Linear OA(3112, 2187, F3, 24) (dual of [2187, 2075, 25]-code), using 1 times truncation based on linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, 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, 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(3112, 1136, F3, 2, 24) (dual of [(1136, 2), 2160, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3112, 1136, F3, 3, 24) (dual of [(1136, 3), 3296, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(3112, 1136, F3, 4, 24) (dual of [(1136, 4), 4432, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(3112, 1136, F3, 5, 24) (dual of [(1136, 5), 5568, 25]-NRT-code) | [i] | ||
| 5 | Digital (88, 112, 1136)-net over F3 | [i] | ||
| 6 | Linear OA(3123, 2230, F3, 24) (dual of [2230, 2107, 25]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3124, 2245, F3, 24) (dual of [2245, 2121, 25]-code) | [i] | ||
| 8 | Linear OA(3125, 2264, F3, 24) (dual of [2264, 2139, 25]-code) | [i] | ||
| 9 | Linear OA(3126, 2290, F3, 24) (dual of [2290, 2164, 25]-code) | [i] | ||
| 10 | Linear OA(3127, 2322, F3, 24) (dual of [2322, 2195, 25]-code) | [i] | ||
| 11 | Linear OOA(3112, 1093, F3, 2, 24) (dual of [(1093, 2), 2074, 25]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(3112, 729, F3, 3, 24) (dual of [(729, 3), 2075, 25]-NRT-code) | [i] | ||
| 13 | Linear OOA(3112, 546, F3, 4, 24) (dual of [(546, 4), 2072, 25]-NRT-code) | [i] | ||
| 14 | Linear OOA(3112, 437, F3, 5, 24) (dual of [(437, 5), 2073, 25]-NRT-code) | [i] | ||