Information on Result #2191839
Linear OA(3116, 121, F3, 79) (dual of [121, 5, 80]-code), using strength reduction 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 OA(3115, 120, F3, 78) (dual of [120, 5, 79]-code) | [i] | Truncation | |
| 2 | Linear OA(3114, 119, F3, 77) (dual of [119, 5, 78]-code) | [i] | ||
| 3 | Linear OA(3113, 118, F3, 76) (dual of [118, 5, 77]-code) | [i] | ||
| 4 | Linear OA(3111, 116, F3, 74) (dual of [116, 5, 75]-code) | [i] | ||
| 5 | Linear OA(3110, 115, F3, 73) (dual of [115, 5, 74]-code) | [i] | ||
| 6 | Linear OA(3109, 114, F3, 72) (dual of [114, 5, 73]-code) | [i] | ||