Information on Result #707811
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 = {−4,−3,…,17}, 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(495, 1073, F4, 22) (dual of [1073, 978, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(487, 1049, F4, 22) (dual of [1049, 962, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(490, 1060, F4, 22) (dual of [1060, 970, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(488, 1053, F4, 22) (dual of [1053, 965, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(486, 1048, F4, 22) (dual of [1048, 962, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(485, 1045, F4, 22) (dual of [1045, 960, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(490, 1045, F4, 23) (dual of [1045, 955, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(4101, 1059, F4, 25) (dual of [1059, 958, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(4100, 1057, F4, 25) (dual of [1057, 957, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(499, 1056, F4, 25) (dual of [1056, 957, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(498, 1053, F4, 25) (dual of [1053, 955, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(4105, 1060, F4, 26) (dual of [1060, 955, 27]-code) | [i] | ✔ | |