Information on Result #711471
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 = {128,129,…,156}, 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, 662, F5, 30) (dual of [662, 555, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5105, 656, F5, 30) (dual of [656, 551, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(5104, 653, F5, 30) (dual of [653, 549, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(5104, 655, F5, 30) (dual of [655, 551, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(5103, 652, F5, 30) (dual of [652, 549, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(5102, 649, F5, 30) (dual of [649, 547, 31]-code) | [i] | ✔ | |
| 10 | Linear OA(5101, 648, F5, 30) (dual of [648, 547, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(5126, 681, F5, 34) (dual of [681, 555, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(5100, 633, F5, 32) (dual of [633, 533, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(5106, 639, F5, 33) (dual of [639, 533, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(5111, 644, F5, 34) (dual of [644, 533, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(5126, 659, F5, 37) (dual of [659, 533, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(5125, 656, F5, 37) (dual of [656, 531, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(5124, 653, F5, 37) (dual of [653, 529, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(5133, 664, F5, 38) (dual of [664, 531, 39]-code) | [i] | ✔ | |
| 19 | Linear OA(5131, 664, F5, 38) (dual of [664, 533, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(5130, 661, F5, 38) (dual of [661, 531, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(5129, 658, F5, 38) (dual of [658, 529, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(5138, 669, F5, 39) (dual of [669, 531, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(5136, 663, F5, 39) (dual of [663, 527, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(5137, 670, F5, 39) (dual of [670, 533, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(5136, 667, F5, 39) (dual of [667, 531, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(5144, 675, F5, 40) (dual of [675, 531, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(5145, 678, F5, 41) (dual of [678, 533, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(5142, 675, F5, 40) (dual of [675, 533, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(5141, 672, F5, 40) (dual of [672, 531, 41]-code) | [i] | ✔ | |