Information on Result #711542
Linear OA(568, 624, F5, 21) (dual of [624, 556, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(568, 566, F5, 2, 21) (dual of [(566, 2), 1064, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(568, 566, F5, 3, 21) (dual of [(566, 3), 1630, 22]-NRT-code) | [i] | ||
| 3 | Digital (47, 68, 566)-net over F5 | [i] | ||
| 4 | Linear OA(5110, 666, F5, 31) (dual of [666, 556, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5109, 664, F5, 31) (dual of [664, 555, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(5108, 661, F5, 31) (dual of [661, 553, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(5114, 670, F5, 32) (dual of [670, 556, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(5113, 668, F5, 32) (dual of [668, 555, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(5112, 665, F5, 32) (dual of [665, 553, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(5121, 677, F5, 33) (dual of [677, 556, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(5120, 675, F5, 33) (dual of [675, 555, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(5119, 672, F5, 33) (dual of [672, 553, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(5127, 680, F5, 34) (dual of [680, 553, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(5125, 674, F5, 34) (dual of [674, 549, 35]-code) | [i] | ✔ | |