Information on Result #711541
Linear OA(597, 624, F5, 31) (dual of [624, 527, 32]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,25}, and designed minimum distance d ≥ |I|+1 = 32
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(597, 582, F5, 2, 31) (dual of [(582, 2), 1067, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(597, 582, F5, 3, 31) (dual of [(582, 3), 1649, 32]-NRT-code) | [i] | ||
| 3 | Digital (66, 97, 582)-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(5107, 656, F5, 31) (dual of [656, 549, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(5111, 670, F5, 31) (dual of [670, 559, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(5110, 667, F5, 31) (dual of [667, 557, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(5108, 663, F5, 31) (dual of [663, 555, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(5107, 660, F5, 31) (dual of [660, 553, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(5106, 655, F5, 31) (dual of [655, 549, 32]-code) | [i] | ✔ | |
| 13 | Linear OA(5106, 649, F5, 32) (dual of [649, 543, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(5105, 646, F5, 32) (dual of [646, 541, 33]-code) | [i] | ✔ | |
| 15 | Linear OA(5112, 655, F5, 33) (dual of [655, 543, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(5111, 652, F5, 33) (dual of [652, 541, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(5111, 654, F5, 33) (dual of [654, 543, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(5110, 651, F5, 33) (dual of [651, 541, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(5126, 670, F5, 36) (dual of [670, 544, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(5124, 667, F5, 36) (dual of [667, 543, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(5121, 664, F5, 35) (dual of [664, 543, 36]-code) | [i] | ✔ | |