Information on Result #614080
Linear OA(5139, 313, F5, 47) (dual of [313, 174, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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(5143, 317, F5, 48) (dual of [317, 174, 49]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5139, 317, F5, 47) (dual of [317, 178, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(5142, 324, F5, 47) (dual of [324, 182, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(5143, 329, F5, 47) (dual of [329, 186, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(5141, 320, F5, 47) (dual of [320, 179, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |