Information on Result #2228017
Linear OA(3115, 120, F3, 78) (dual of [120, 5, 79]-code), using 1 times truncation based on linear OA(3116, 121, F3, 79) (dual of [121, 5, 80]-code), using
- strength reduction [i] based on linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using
- Simplex code S(5,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,75], and minimum distance d ≥ |{5,15,25,…,−52}|+1 = 81 (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 OOA(3115, 60, F3, 2, 78) (dual of [(60, 2), 5, 79]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3115, 40, F3, 3, 78) (dual of [(40, 3), 5, 79]-NRT-code) | [i] | ||
| 3 | Linear OOA(3115, 24, F3, 5, 78) (dual of [(24, 5), 5, 79]-NRT-code) | [i] | ||