Information on Result #614000
Linear OA(5113, 313, F5, 37) (dual of [313, 200, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 313 | 58−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(5130, 331, F5, 37) (dual of [331, 201, 38]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(5122, 322, F5, 39) (dual of [322, 200, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(5124, 319, F5, 41) (dual of [319, 195, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(5125, 325, F5, 41) (dual of [325, 200, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(5123, 319, F5, 40) (dual of [319, 196, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(5114, 322, F5, 37) (dual of [322, 208, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(5134, 327, F5, 43) (dual of [327, 193, 44]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |