Information on Result #614185
Linear OA(5114, 125, F5, 74) (dual of [125, 11, 75]-code), using an extension Ce(73) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,73], and designed minimum distance d ≥ |I|+1 = 74
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(5119, 136, F5, 74) (dual of [136, 17, 75]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5121, 141, F5, 74) (dual of [141, 20, 75]-code) | [i] | ✔ | |
| 3 | Linear OA(5127, 150, F5, 74) (dual of [150, 23, 75]-code) | [i] | ✔ | |
| 4 | Linear OA(5128, 154, F5, 74) (dual of [154, 26, 75]-code) | [i] | ✔ | |
| 5 | Linear OA(5134, 161, F5, 74) (dual of [161, 27, 75]-code) | [i] | ✔ | |
| 6 | Linear OA(5126, 148, F5, 74) (dual of [148, 22, 75]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(5125, 146, F5, 74) (dual of [146, 21, 75]-code) | [i] | ✔ | |