Information on Result #2228421
Linear OA(3101, 116, F3, 57) (dual of [116, 15, 58]-code), using 5 times truncation based on linear OA(3106, 121, F3, 62) (dual of [121, 15, 63]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,60], and minimum distance d ≥ |{−1,0,…,60}|+1 = 63 (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3112, 129, F3, 57) (dual of [129, 17, 58]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(3101, 58, F3, 2, 57) (dual of [(58, 2), 15, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3101, 38, F3, 3, 57) (dual of [(38, 3), 13, 58]-NRT-code) | [i] | ||