Information on Result #711532
Linear OA(599, 624, F5, 32) (dual of [624, 525, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,161}, and designed minimum distance d ≥ |I|+1 = 33
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(599, 559, F5, 2, 32) (dual of [(559, 2), 1019, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(599, 559, F5, 3, 32) (dual of [(559, 3), 1578, 33]-NRT-code) | [i] | ||
| 3 | Digital (67, 99, 559)-net over F5 | [i] | ||
| 4 | Linear OA(5118, 676, F5, 32) (dual of [676, 558, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5119, 679, F5, 32) (dual of [679, 560, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(5118, 677, F5, 32) (dual of [677, 559, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(5116, 673, F5, 32) (dual of [673, 557, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(5117, 676, F5, 32) (dual of [676, 559, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(5115, 670, F5, 32) (dual of [670, 555, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(5113, 666, F5, 32) (dual of [666, 553, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(5112, 661, F5, 32) (dual of [661, 549, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(5115, 674, F5, 32) (dual of [674, 559, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(5114, 671, F5, 32) (dual of [671, 557, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(5112, 667, F5, 32) (dual of [667, 555, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(5111, 664, F5, 32) (dual of [664, 553, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(5110, 661, F5, 32) (dual of [661, 551, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(5109, 660, F5, 32) (dual of [660, 551, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(5108, 655, F5, 32) (dual of [655, 547, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(5107, 654, F5, 32) (dual of [654, 547, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(5112, 649, F5, 34) (dual of [649, 537, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(5119, 656, F5, 36) (dual of [656, 537, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(5147, 681, F5, 40) (dual of [681, 534, 41]-code) | [i] | ✔ | |