Information on Result #613901
Linear OA(581, 313, F5, 27) (dual of [313, 232, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 313 | 58−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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.
Other Results with Identical Parameters
- Extended Narrow-Sense BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(591, 324, F5, 27) (dual of [324, 233, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(590, 322, F5, 29) (dual of [322, 232, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(592, 319, F5, 31) (dual of [319, 227, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(593, 325, F5, 31) (dual of [325, 232, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(591, 319, F5, 30) (dual of [319, 228, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(5102, 327, F5, 33) (dual of [327, 225, 34]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |