Information on Result #613851
Linear OA(528, 31, F5, 24) (dual of [31, 3, 25]-code), using the expurgated narrow-sense BCH-code C(I) with length 31 | 53−1, defining interval I = [0,16], and minimum distance d ≥ |{−7,−6,…,16}|+1 = 25 (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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(529, 32, F5, 24) (dual of [32, 3, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(527, 30, F5, 23) (dual of [30, 3, 24]-code) | [i] | Truncation | |
| 3 | Linear OA(526, 29, F5, 22) (dual of [29, 3, 23]-code) | [i] | ||
| 4 | Linear OA(525, 28, F5, 21) (dual of [28, 3, 22]-code) | [i] | ||
| 5 | Linear OA(524, 27, F5, 20) (dual of [27, 3, 21]-code) | [i] | ||
| 6 | Linear OA(5121, 124, F5, 99) (dual of [124, 3, 100]-code) | [i] | Repeating Each Code Word | |
| 7 | Linear OA(590, 93, F5, 74) (dual of [93, 3, 75]-code) | [i] | ||
| 8 | Linear OA(559, 62, F5, 49) (dual of [62, 3, 50]-code) | [i] | ||
| 9 | Linear OA(532, 36, F5, 24) (dual of [36, 4, 25]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(529, 36, F5, 20) (dual of [36, 7, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(534, 41, F5, 24) (dual of [41, 7, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(530, 37, F5, 21) (dual of [37, 7, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(533, 40, F5, 22) (dual of [40, 7, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 14 | Linear OA(537, 44, F5, 24) (dual of [44, 7, 25]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 15 | Linear OOA(528, 15, F5, 2, 24) (dual of [(15, 2), 2, 25]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(528, 10, F5, 3, 24) (dual of [(10, 3), 2, 25]-NRT-code) | [i] | ||