Information on Result #707808
Linear OA(491, 1023, F4, 25) (dual of [1023, 932, 26]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−8,−7,…,16}, and designed minimum distance d ≥ |I|+1 = 26
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(491, 696, F4, 2, 25) (dual of [(696, 2), 1301, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(491, 696, F4, 3, 25) (dual of [(696, 3), 1997, 26]-NRT-code) | [i] | ||
| 3 | Digital (66, 91, 696)-net over F4 | [i] | ||
| 4 | Linear OA(4107, 1072, F4, 24) (dual of [1072, 965, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4124, 1079, F4, 28) (dual of [1079, 955, 29]-code) | [i] | ✔ | |
| 6 | Linear OOA(491, 341, F4, 3, 25) (dual of [(341, 3), 932, 26]-NRT-code) | [i] | OOA Folding | |