Information on Result #614045
Linear OA(5123, 313, F5, 42) (dual of [313, 190, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42
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(5127, 317, F5, 43) (dual of [317, 190, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5123, 317, F5, 42) (dual of [317, 194, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(5132, 322, F5, 44) (dual of [322, 190, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(5126, 322, F5, 42) (dual of [322, 196, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(5139, 329, F5, 46) (dual of [329, 190, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(5129, 329, F5, 42) (dual of [329, 200, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(5130, 334, F5, 42) (dual of [334, 204, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(5137, 324, F5, 45) (dual of [324, 187, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(5140, 331, F5, 46) (dual of [331, 191, 47]-code) | [i] | ✔ | |
| 10 | Linear OA(5133, 324, F5, 44) (dual of [324, 191, 45]-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] | ✔ | |