Information on Result #711583
Linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,162}, and designed minimum distance d ≥ |I|+1 = 34
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5103, 599, F5, 2, 33) (dual of [(599, 2), 1095, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5103, 599, F5, 3, 33) (dual of [(599, 3), 1694, 34]-NRT-code) | [i] | ||
| 3 | Digital (70, 103, 599)-net over F5 | [i] | ||
| 4 | Linear OA(5123, 680, F5, 33) (dual of [680, 557, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5122, 677, F5, 33) (dual of [677, 555, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(5120, 673, F5, 33) (dual of [673, 553, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(5121, 676, F5, 33) (dual of [676, 555, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(5117, 666, F5, 33) (dual of [666, 549, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(5119, 656, F5, 35) (dual of [656, 537, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(5118, 653, F5, 35) (dual of [653, 535, 36]-code) | [i] | ✔ | |