Information on Result #610429
Linear OA(375, 78, F3, 53) (dual of [78, 3, 54]-code), using repeating each code word 6 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(374, 77, F3, 52) (dual of [77, 3, 53]-code) | [i] | Truncation | |
| 2 | Linear OA(373, 76, F3, 51) (dual of [76, 3, 52]-code) | [i] | ||
| 3 | Linear OOA(375, 39, F3, 2, 53) (dual of [(39, 2), 3, 54]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(375, 26, F3, 3, 53) (dual of [(26, 3), 3, 54]-NRT-code) | [i] | ||