Information on Result #612499
Linear OA(3115, 121, F3, 75) (dual of [121, 6, 76]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,75], and designed minimum distance d ≥ |I|+1 = 76
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
- Augmented Codes by De Boer and Brouwer (hidden) [i]
- Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3120, 126, F3, 80) (dual of [126, 6, 81]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3129, 145, F3, 71) (dual of [145, 16, 72]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(3137, 151, F3, 77) (dual of [151, 14, 78]-code) | [i] | ✔ | |
| 4 | Linear OA(3144, 155, F3, 84) (dual of [155, 11, 85]-code) | [i] | ✔ | |
| 5 | Linear OA(3138, 149, F3, 81) (dual of [149, 11, 82]-code) | [i] | ✔ | |
| 6 | Linear OA(3137, 153, F3, 75) (dual of [153, 16, 76]-code) | [i] | ✔ | |