Information on Result #614133
Linear OA(569, 72, F5, 56) (dual of [72, 3, 57]-code), using the expurgated narrow-sense BCH-code C(I) with length 72 | 56−1, defining interval I = [0,53], and minimum distance d ≥ |{−2,−1,…,53}|+1 = 57 (BCH-bound)
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(571, 75, F5, 56) (dual of [75, 4, 57]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OOA(569, 36, F5, 2, 56) (dual of [(36, 2), 3, 57]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(569, 24, F5, 3, 56) (dual of [(24, 3), 3, 57]-NRT-code) | [i] | ||