Information on Result #614209
Linear OA(5137, 156, F5, 83) (dual of [156, 19, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5139, 159, F5, 83) (dual of [159, 20, 84]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(5142, 161, F5, 85) (dual of [161, 19, 86]-code) | [i] | ✔ | |
| 3 | Linear OA(5150, 169, F5, 91) (dual of [169, 19, 92]-code) | [i] | ✔ | |
| 4 | Linear OA(5147, 166, F5, 89) (dual of [166, 19, 90]-code) | [i] | ✔ | |
| 5 | Linear OA(5143, 162, F5, 86) (dual of [162, 19, 87]-code) | [i] | ✔ | |
| 6 | Linear OA(5149, 168, F5, 91) (dual of [168, 19, 92]-code) | [i] | ✔ | |
| 7 | Linear OA(5141, 162, F5, 83) (dual of [162, 21, 84]-code) | [i] | ✔ | Construction XX with Cyclic Codes |