Information on Result #712395
Linear OA(5131, 624, F5, 42) (dual of [624, 493, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5135, 632, F5, 43) (dual of [632, 497, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5140, 637, F5, 44) (dual of [637, 497, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(5146, 643, F5, 45) (dual of [643, 497, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(5139, 632, F5, 44) (dual of [632, 493, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(5144, 637, F5, 45) (dual of [637, 493, 46]-code) | [i] | ✔ | |