Information on Result #707729
Linear OA(456, 1023, F4, 15) (dual of [1023, 967, 16]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {329,330,…,343}, and designed minimum distance d ≥ |I|+1 = 16
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 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(456, 657, F4, 2, 15) (dual of [(657, 2), 1258, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(456, 657, F4, 3, 15) (dual of [(657, 3), 1915, 16]-NRT-code) | [i] | ||
| 3 | Digital (41, 56, 657)-net over F4 | [i] | ||
| 4 | Linear OA(463, 1035, F4, 17) (dual of [1035, 972, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(486, 1064, F4, 20) (dual of [1064, 978, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(490, 1067, F4, 21) (dual of [1067, 977, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(489, 1066, F4, 21) (dual of [1066, 977, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(488, 1060, F4, 21) (dual of [1060, 972, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(487, 1059, F4, 21) (dual of [1059, 972, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(4106, 1073, F4, 25) (dual of [1073, 967, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(4105, 1067, F4, 25) (dual of [1067, 962, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(4113, 1080, F4, 26) (dual of [1080, 967, 27]-code) | [i] | ✔ | |