Information on Result #711367
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 = {131,132,…,156}, 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(596, 659, F5, 27) (dual of [659, 563, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5100, 661, F5, 28) (dual of [661, 561, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(5105, 648, F5, 32) (dual of [648, 543, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(5110, 653, F5, 33) (dual of [653, 543, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(5117, 660, F5, 34) (dual of [660, 543, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(5124, 667, F5, 35) (dual of [667, 543, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(5116, 659, F5, 34) (dual of [659, 543, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(5123, 666, F5, 35) (dual of [666, 543, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(5138, 681, F5, 38) (dual of [681, 543, 39]-code) | [i] | ✔ | |
| 13 | Linear OOA(581, 312, F5, 2, 26) (dual of [(312, 2), 543, 27]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(581, 208, F5, 3, 26) (dual of [(208, 3), 543, 27]-NRT-code) | [i] | ||