Information on Result #610396
Linear OA(3218, 221, F3, 152) (dual of [221, 3, 153]-code), using repeating each code word 17 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(3218, 221, F3, 151) (dual of [221, 3, 152]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3218, 221, F3, 150) (dual of [221, 3, 151]-code) | [i] | ||
| 3 | Linear OA(3218, 221, F3, 149) (dual of [221, 3, 150]-code) | [i] | ||
| 4 | Linear OA(3219, 222, F3, 152) (dual of [222, 3, 153]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3217, 220, F3, 151) (dual of [220, 3, 152]-code) | [i] | Truncation | |
| 6 | Linear OA(3216, 219, F3, 150) (dual of [219, 3, 151]-code) | [i] | ||
| 7 | Linear OA(3215, 218, F3, 149) (dual of [218, 3, 150]-code) | [i] | ||
| 8 | Linear OA(3213, 216, F3, 147) (dual of [216, 3, 148]-code) | [i] | ||
| 9 | Linear OA(3212, 215, F3, 146) (dual of [215, 3, 147]-code) | [i] | ||
| 10 | Linear OA(3211, 214, F3, 145) (dual of [214, 3, 146]-code) | [i] | ||
| 11 | Linear OA(3209, 212, F3, 143) (dual of [212, 3, 144]-code) | [i] | ||
| 12 | Linear OA(3208, 211, F3, 142) (dual of [211, 3, 143]-code) | [i] | ||
| 13 | Linear OA(3207, 210, F3, 141) (dual of [210, 3, 142]-code) | [i] | ||