Information on Result #610393
Linear OA(3231, 234, F3, 161) (dual of [234, 3, 162]-code), using repeating each code word 18 times based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (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(3231, 234, F3, 160) (dual of [234, 3, 161]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3231, 234, F3, 159) (dual of [234, 3, 160]-code) | [i] | ||
| 3 | Linear OA(3231, 234, F3, 158) (dual of [234, 3, 159]-code) | [i] | ||
| 4 | Linear OA(3232, 235, F3, 161) (dual of [235, 3, 162]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3230, 233, F3, 160) (dual of [233, 3, 161]-code) | [i] | Truncation | |
| 6 | Linear OA(3229, 232, F3, 159) (dual of [232, 3, 160]-code) | [i] | ||
| 7 | Linear OA(3228, 231, F3, 158) (dual of [231, 3, 159]-code) | [i] | ||
| 8 | Linear OA(3226, 229, F3, 156) (dual of [229, 3, 157]-code) | [i] | ||
| 9 | Linear OA(3225, 228, F3, 155) (dual of [228, 3, 156]-code) | [i] | ||
| 10 | Linear OA(3224, 227, F3, 154) (dual of [227, 3, 155]-code) | [i] | ||
| 11 | Linear OA(3222, 225, F3, 152) (dual of [225, 3, 153]-code) | [i] | ||
| 12 | Linear OA(3221, 224, F3, 151) (dual of [224, 3, 152]-code) | [i] | ||
| 13 | Linear OA(3220, 223, F3, 150) (dual of [223, 3, 151]-code) | [i] | ||
| 14 | Linear OOA(3231, 117, F3, 2, 161) (dual of [(117, 2), 3, 162]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(3231, 78, F3, 3, 161) (dual of [(78, 3), 3, 162]-NRT-code) | [i] | ||