Information on Result #614015
Linear OA(5117, 313, F5, 39) (dual of [313, 196, 40]-code), using an extension Ce(38) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
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(5120, 316, F5, 41) (dual of [316, 196, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5118, 318, F5, 39) (dual of [318, 200, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(5126, 322, F5, 42) (dual of [322, 196, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(5118, 322, F5, 38) (dual of [322, 204, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(5120, 324, F5, 39) (dual of [324, 204, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(5131, 327, F5, 43) (dual of [327, 196, 44]-code) | [i] | ✔ | |
| 7 | Linear OA(5137, 333, F5, 44) (dual of [333, 196, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(5136, 331, F5, 44) (dual of [331, 195, 45]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(5130, 325, F5, 43) (dual of [325, 195, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(5133, 330, F5, 43) (dual of [330, 197, 44]-code) | [i] | ✔ | |
| 11 | Linear OA(5125, 320, F5, 42) (dual of [320, 195, 43]-code) | [i] | ✔ | |
| 12 | Linear OA(5128, 325, F5, 42) (dual of [325, 197, 43]-code) | [i] | ✔ | |
| 13 | Linear OA(5119, 320, F5, 39) (dual of [320, 201, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(5122, 327, F5, 39) (dual of [327, 205, 40]-code) | [i] | ✔ | |