Information on Result #711893
Linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {120,121,…,157}, and designed minimum distance d ≥ |I|+1 = 39
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5134, 666, F5, 38) (dual of [666, 532, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5133, 664, F5, 38) (dual of [664, 531, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(5124, 646, F5, 38) (dual of [646, 522, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(5123, 644, F5, 38) (dual of [644, 521, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(5122, 639, F5, 38) (dual of [639, 517, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(5139, 656, F5, 42) (dual of [656, 517, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(5136, 646, F5, 42) (dual of [646, 510, 43]-code) | [i] | ✔ | |
| 8 | Linear OA(5135, 644, F5, 42) (dual of [644, 509, 43]-code) | [i] | ✔ | |
| 9 | Linear OA(5144, 649, F5, 44) (dual of [649, 505, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(5150, 653, F5, 45) (dual of [653, 503, 46]-code) | [i] | ✔ | |