Information on Result #711396
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 = {130,131,…,158}, 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(5107, 668, F5, 29) (dual of [668, 561, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5104, 662, F5, 29) (dual of [662, 558, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(5106, 669, F5, 29) (dual of [669, 563, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(5104, 663, F5, 29) (dual of [663, 559, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(5102, 659, F5, 29) (dual of [659, 557, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(5101, 654, F5, 29) (dual of [654, 553, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(5105, 654, F5, 30) (dual of [654, 549, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(5103, 663, F5, 29) (dual of [663, 560, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(5102, 660, F5, 29) (dual of [660, 558, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(5101, 660, F5, 29) (dual of [660, 559, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(5100, 657, F5, 29) (dual of [657, 557, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(599, 654, F5, 29) (dual of [654, 555, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(598, 653, F5, 29) (dual of [653, 555, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(5112, 661, F5, 32) (dual of [661, 549, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(596, 647, F5, 29) (dual of [647, 551, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(5121, 676, F5, 33) (dual of [676, 555, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(5117, 666, F5, 33) (dual of [666, 549, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(594, 639, F5, 29) (dual of [639, 545, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(5108, 655, F5, 32) (dual of [655, 547, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(5108, 649, F5, 33) (dual of [649, 541, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(5138, 687, F5, 37) (dual of [687, 549, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(5137, 683, F5, 37) (dual of [683, 546, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(5136, 681, F5, 37) (dual of [681, 545, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(5135, 680, F5, 37) (dual of [680, 545, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(5145, 676, F5, 41) (dual of [676, 531, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(5144, 672, F5, 41) (dual of [672, 528, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(5143, 670, F5, 41) (dual of [670, 527, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(5150, 677, F5, 42) (dual of [677, 527, 43]-code) | [i] | ✔ | |