Information on Result #707890
Linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(481, 694, F4, 2, 22) (dual of [(694, 2), 1307, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(481, 694, F4, 3, 22) (dual of [(694, 3), 2001, 23]-NRT-code) | [i] | ||
| 3 | Digital (59, 81, 694)-net over F4 | [i] | ||
| 4 | Linear OA(483, 1036, F4, 22) (dual of [1036, 953, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(486, 1033, F4, 23) (dual of [1033, 947, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(493, 1041, F4, 24) (dual of [1041, 948, 25]-code) | [i] | ✔ | |