Information on Result #613865
Linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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(5146, 78138, F5, 24) (dual of [78138, 77992, 25]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5148, 78141, F5, 24) (dual of [78141, 77993, 25]-code) | [i] | ||
| 3 | Linear OA(5149, 78144, F5, 24) (dual of [78144, 77995, 25]-code) | [i] | ||
| 4 | Linear OA(5150, 78150, F5, 24) (dual of [78150, 78000, 25]-code) | [i] | ||
| 5 | Linear OA(5142, 78133, F5, 26) (dual of [78133, 77991, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(5134, 78132, F5, 24) (dual of [78132, 77998, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(5135, 78140, F5, 24) (dual of [78140, 78005, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(5137, 78149, F5, 24) (dual of [78149, 78012, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(5142, 78161, F5, 24) (dual of [78161, 78019, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(5144, 78170, F5, 24) (dual of [78170, 78026, 25]-code) | [i] | ✔ | |
| 11 | Linear OA(5146, 78179, F5, 24) (dual of [78179, 78033, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(5149, 78187, F5, 24) (dual of [78187, 78038, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(5150, 78190, F5, 24) (dual of [78190, 78040, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(5140, 78155, F5, 24) (dual of [78155, 78015, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(5141, 78160, F5, 24) (dual of [78160, 78019, 25]-code) | [i] | ✔ | |
| 16 | Linear OA(5143, 78169, F5, 24) (dual of [78169, 78026, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(5149, 78189, F5, 24) (dual of [78189, 78040, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(5147, 78187, F5, 24) (dual of [78187, 78040, 25]-code) | [i] | ✔ | |
| 19 | Linear OA(5150, 78135, F5, 27) (dual of [78135, 77985, 28]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(5143, 78135, F5, 26) (dual of [78135, 77992, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(5136, 78142, F5, 24) (dual of [78142, 78006, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(5141, 78156, F5, 24) (dual of [78156, 78015, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(5140, 78154, F5, 24) (dual of [78154, 78014, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(5139, 78152, F5, 24) (dual of [78152, 78013, 25]-code) | [i] | ✔ | |