Information on Result #614171
Linear OA(5105, 126, F5, 65) (dual of [126, 21, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (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(5133, 155, F5, 65) (dual of [155, 22, 66]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(5112, 133, F5, 67) (dual of [133, 21, 68]-code) | [i] | ✔ | |
| 3 | Linear OA(5120, 140, F5, 73) (dual of [140, 20, 74]-code) | [i] | ✔ | |
| 4 | Linear OA(5121, 142, F5, 73) (dual of [142, 21, 74]-code) | [i] | ✔ | |
| 5 | Linear OA(5117, 138, F5, 71) (dual of [138, 21, 72]-code) | [i] | ✔ | |
| 6 | Linear OA(5106, 133, F5, 65) (dual of [133, 27, 66]-code) | [i] | ✔ | |
| 7 | Linear OA(5123, 145, F5, 73) (dual of [145, 22, 74]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(5120, 142, F5, 71) (dual of [142, 22, 72]-code) | [i] | ✔ | |
| 9 | Linear OA(5117, 139, F5, 69) (dual of [139, 22, 70]-code) | [i] | ✔ | |
| 10 | Linear OA(5114, 136, F5, 67) (dual of [136, 22, 68]-code) | [i] | ✔ | |