Information on Result #708129
Linear OA(4121, 1023, F4, 33) (dual of [1023, 902, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−8,−7,…,24}, and designed minimum distance d ≥ |I|+1 = 34
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 Expurgated Narrow-Sense BCH-Codes [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 OOA(4121, 863, F4, 2, 33) (dual of [(863, 2), 1605, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4121, 863, F4, 3, 33) (dual of [(863, 3), 2468, 34]-NRT-code) | [i] | ||
| 3 | Digital (88, 121, 863)-net over F4 | [i] | ||
| 4 | Linear OA(4139, 1079, F4, 32) (dual of [1079, 940, 33]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4137, 1072, F4, 32) (dual of [1072, 935, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(4154, 1079, F4, 36) (dual of [1079, 925, 37]-code) | [i] | ✔ | |
| 7 | Linear OOA(4121, 341, F4, 3, 33) (dual of [(341, 3), 902, 34]-NRT-code) | [i] | OOA Folding | |