Information on Result #710358
Linear OA(599, 124, F5, 63) (dual of [124, 25, 64]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,62], and designed minimum distance d ≥ |I|+1 = 64
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(5118, 147, F5, 64) (dual of [147, 29, 65]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5105, 130, F5, 65) (dual of [130, 25, 66]-code) | [i] | ✔ | |
| 3 | Linear OA(5113, 138, F5, 69) (dual of [138, 25, 70]-code) | [i] | ✔ | |
| 4 | Linear OA(5118, 143, F5, 70) (dual of [143, 25, 71]-code) | [i] | ✔ | |
| 5 | Linear OA(5127, 152, F5, 74) (dual of [152, 25, 75]-code) | [i] | ✔ | |
| 6 | Linear OA(5131, 156, F5, 75) (dual of [156, 25, 76]-code) | [i] | ✔ | |
| 7 | Linear OA(5121, 146, F5, 73) (dual of [146, 25, 74]-code) | [i] | ✔ | |
| 8 | Linear OA(5117, 142, F5, 70) (dual of [142, 25, 71]-code) | [i] | ✔ | |
| 9 | Linear OA(5126, 151, F5, 74) (dual of [151, 25, 75]-code) | [i] | ✔ | |
| 10 | Linear OA(5125, 147, F5, 74) (dual of [147, 22, 75]-code) | [i] | ✔ | |
| 11 | Linear OA(5135, 160, F5, 78) (dual of [160, 25, 79]-code) | [i] | ✔ | |
| 12 | Linear OA(5132, 157, F5, 76) (dual of [157, 25, 77]-code) | [i] | ✔ | |
| 13 | Linear OA(5140, 165, F5, 79) (dual of [165, 25, 80]-code) | [i] | ✔ | |