Information on Result #614061
Linear OA(5131, 313, F5, 44) (dual of [313, 182, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
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(5136, 318, F5, 46) (dual of [318, 182, 47]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5131, 317, F5, 44) (dual of [317, 186, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(5142, 324, F5, 47) (dual of [324, 182, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(5132, 322, F5, 44) (dual of [322, 190, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(5134, 328, F5, 44) (dual of [328, 194, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(5137, 333, F5, 44) (dual of [333, 196, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(5141, 320, F5, 47) (dual of [320, 179, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(5137, 320, F5, 46) (dual of [320, 183, 47]-code) | [i] | ✔ | |
| 9 | Linear OA(5133, 324, F5, 44) (dual of [324, 191, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(5136, 331, F5, 44) (dual of [331, 195, 45]-code) | [i] | ✔ | |