Information on Result #711638
Linear OA(5111, 624, F5, 35) (dual of [624, 513, 36]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {125,126,…,159}, and designed minimum distance d ≥ |I|+1 = 36
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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 OA(5131, 678, F5, 35) (dual of [678, 547, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5130, 676, F5, 35) (dual of [676, 546, 36]-code) | [i] | ✔ | |
| 3 | Linear OA(5129, 677, F5, 35) (dual of [677, 548, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(5128, 673, F5, 35) (dual of [673, 545, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(5128, 675, F5, 35) (dual of [675, 547, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(5126, 669, F5, 35) (dual of [669, 543, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(5124, 665, F5, 35) (dual of [665, 541, 36]-code) | [i] | ✔ | |
| 8 | Linear OA(5122, 659, F5, 35) (dual of [659, 537, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(5124, 668, F5, 35) (dual of [668, 544, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(5123, 666, F5, 35) (dual of [666, 543, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(5121, 662, F5, 35) (dual of [662, 541, 36]-code) | [i] | ✔ | |
| 12 | Linear OA(5120, 659, F5, 35) (dual of [659, 539, 36]-code) | [i] | ✔ | |