Information on Result #711424
Linear OA(581, 624, F5, 26) (dual of [624, 543, 27]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {136,137,…,161}, and designed minimum distance d ≥ |I|+1 = 27
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(581, 508, F5, 2, 26) (dual of [(508, 2), 935, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(581, 508, F5, 3, 26) (dual of [(508, 3), 1443, 27]-NRT-code) | [i] | ||
| 3 | Digital (55, 81, 508)-net over F5 | [i] | ||
| 4 | Linear OA(589, 656, F5, 26) (dual of [656, 567, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(588, 651, F5, 26) (dual of [651, 563, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(586, 645, F5, 26) (dual of [645, 559, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(583, 634, F5, 26) (dual of [634, 551, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(5115, 674, F5, 32) (dual of [674, 559, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(5114, 671, F5, 32) (dual of [671, 557, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(5122, 681, F5, 33) (dual of [681, 559, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(5121, 678, F5, 33) (dual of [678, 557, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(5112, 667, F5, 32) (dual of [667, 555, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(5111, 664, F5, 32) (dual of [664, 553, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(5110, 661, F5, 32) (dual of [661, 551, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(5119, 674, F5, 33) (dual of [674, 555, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(5118, 671, F5, 33) (dual of [671, 553, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(5117, 668, F5, 33) (dual of [668, 551, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(5116, 665, F5, 33) (dual of [665, 549, 34]-code) | [i] | ✔ | |
| 19 | Linear OOA(581, 312, F5, 2, 26) (dual of [(312, 2), 543, 27]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(581, 208, F5, 3, 26) (dual of [(208, 3), 543, 27]-NRT-code) | [i] | ||