Information on Result #711432
Linear OA(591, 624, F5, 29) (dual of [624, 533, 30]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {129,130,…,157}, and designed minimum distance d ≥ |I|+1 = 30
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(591, 566, F5, 2, 29) (dual of [(566, 2), 1041, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(591, 566, F5, 3, 29) (dual of [(566, 3), 1607, 30]-NRT-code) | [i] | ||
| 3 | Digital (62, 91, 566)-net over F5 | [i] | ||
| 4 | Linear OA(5104, 664, F5, 29) (dual of [664, 560, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5103, 661, F5, 29) (dual of [661, 558, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(5101, 655, F5, 29) (dual of [655, 554, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(5103, 662, F5, 29) (dual of [662, 559, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(5101, 656, F5, 29) (dual of [656, 555, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(5100, 653, F5, 29) (dual of [653, 553, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(5101, 657, F5, 29) (dual of [657, 556, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(5100, 654, F5, 29) (dual of [654, 554, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(599, 651, F5, 29) (dual of [651, 552, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(5100, 655, F5, 29) (dual of [655, 555, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(599, 652, F5, 29) (dual of [652, 553, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(598, 649, F5, 29) (dual of [649, 551, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(598, 650, F5, 29) (dual of [650, 552, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(597, 648, F5, 29) (dual of [648, 551, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(596, 644, F5, 29) (dual of [644, 548, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(595, 642, F5, 29) (dual of [642, 547, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(5119, 674, F5, 33) (dual of [674, 555, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(5118, 671, F5, 33) (dual of [671, 553, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(5117, 668, F5, 33) (dual of [668, 551, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(5116, 665, F5, 33) (dual of [665, 549, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(5116, 667, F5, 33) (dual of [667, 551, 34]-code) | [i] | ✔ | |
| 25 | Linear OA(5115, 664, F5, 33) (dual of [664, 549, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(5113, 660, F5, 33) (dual of [660, 547, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(5108, 646, F5, 33) (dual of [646, 538, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(5102, 639, F5, 32) (dual of [639, 537, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(5101, 634, F5, 32) (dual of [634, 533, 33]-code) | [i] | ✔ | |
| 30 | Linear OA(5108, 647, F5, 33) (dual of [647, 539, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(5107, 644, F5, 33) (dual of [644, 537, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(5130, 666, F5, 37) (dual of [666, 536, 38]-code) | [i] | ✔ | |
| 33 | Linear OA(5129, 664, F5, 37) (dual of [664, 535, 38]-code) | [i] | ✔ | |
| 34 | Linear OA(5118, 651, F5, 36) (dual of [651, 533, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(5123, 656, F5, 37) (dual of [656, 533, 38]-code) | [i] | ✔ | |