Information on Result #610426
Linear OA(388, 91, F3, 62) (dual of [91, 3, 63]-code), using repeating each code word 7 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(388, 91, F3, 61) (dual of [91, 3, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(389, 92, F3, 62) (dual of [92, 3, 63]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(387, 90, F3, 61) (dual of [90, 3, 62]-code) | [i] | Truncation | |
| 4 | Linear OA(386, 89, F3, 60) (dual of [89, 3, 61]-code) | [i] | ||
| 5 | Linear OA(385, 88, F3, 59) (dual of [88, 3, 60]-code) | [i] | ||
| 6 | Linear OA(383, 86, F3, 57) (dual of [86, 3, 58]-code) | [i] | ||