Information on Result #711564
Linear OA(599, 624, F5, 32) (dual of [624, 525, 33]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {125,126,…,156}, and designed minimum distance d ≥ |I|+1 = 33
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(599, 559, F5, 2, 32) (dual of [(559, 2), 1019, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(599, 559, F5, 3, 32) (dual of [(559, 3), 1578, 33]-NRT-code) | [i] | ||
| 3 | Digital (67, 99, 559)-net over F5 | [i] | ||
| 4 | Linear OA(5117, 664, F5, 33) (dual of [664, 547, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5124, 670, F5, 34) (dual of [670, 546, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(5122, 669, F5, 34) (dual of [669, 547, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(5120, 663, F5, 34) (dual of [663, 543, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(5118, 659, F5, 34) (dual of [659, 541, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(5130, 676, F5, 35) (dual of [676, 546, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(5128, 675, F5, 35) (dual of [675, 547, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(5126, 669, F5, 35) (dual of [669, 543, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(5124, 665, F5, 35) (dual of [665, 541, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(5117, 660, F5, 34) (dual of [660, 543, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(5138, 684, F5, 37) (dual of [684, 546, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(5107, 644, F5, 33) (dual of [644, 537, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(5123, 666, F5, 35) (dual of [666, 543, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(5136, 683, F5, 37) (dual of [683, 547, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(5134, 677, F5, 37) (dual of [677, 543, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(5132, 673, F5, 37) (dual of [673, 541, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(5106, 639, F5, 33) (dual of [639, 533, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(5121, 662, F5, 35) (dual of [662, 541, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(5120, 659, F5, 35) (dual of [659, 539, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(5143, 690, F5, 38) (dual of [690, 547, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(5141, 684, F5, 38) (dual of [684, 543, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(5119, 644, F5, 37) (dual of [644, 525, 38]-code) | [i] | ✔ | |