Information on Result #707323
Linear OA(476, 1023, F4, 21) (dual of [1023, 947, 22]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {321,322,…,341}, and designed minimum distance d ≥ |I|+1 = 22
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(476, 615, F4, 2, 21) (dual of [(615, 2), 1154, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(476, 615, F4, 3, 21) (dual of [(615, 3), 1769, 22]-NRT-code) | [i] | ||
| 3 | Digital (55, 76, 615)-net over F4 | [i] | ||
| 4 | Linear OA(4143, 1090, F4, 32) (dual of [1090, 947, 33]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(493, 1062, F4, 22) (dual of [1062, 969, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(491, 1058, F4, 22) (dual of [1058, 967, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(497, 1064, F4, 23) (dual of [1064, 967, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(484, 1041, F4, 22) (dual of [1041, 957, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(483, 1033, F4, 22) (dual of [1033, 950, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(482, 1034, F4, 22) (dual of [1034, 952, 23]-code) | [i] | ✔ | |
| 11 | Linear OOA(476, 341, F4, 3, 21) (dual of [(341, 3), 947, 22]-NRT-code) | [i] | OOA Folding | |