Information on Result #707695
Linear OA(455, 1023, F4, 14) (dual of [1023, 968, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(455, 894, F4, 2, 14) (dual of [(894, 2), 1733, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(455, 894, F4, 3, 14) (dual of [(894, 3), 2627, 15]-NRT-code) | [i] | ||
| 3 | Digital (41, 55, 894)-net over F4 | [i] | ||
| 4 | Linear OA(463, 1041, F4, 16) (dual of [1041, 978, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(479, 1057, F4, 19) (dual of [1057, 978, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(487, 1065, F4, 20) (dual of [1065, 978, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(468, 1036, F4, 18) (dual of [1036, 968, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(484, 1052, F4, 21) (dual of [1052, 968, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(482, 1050, F4, 20) (dual of [1050, 968, 21]-code) | [i] | ✔ | |
| 10 | Linear OA(483, 1050, F4, 21) (dual of [1050, 967, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(481, 1046, F4, 20) (dual of [1046, 965, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(492, 1060, F4, 22) (dual of [1060, 968, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(4100, 1065, F4, 23) (dual of [1065, 965, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(499, 1063, F4, 23) (dual of [1063, 964, 24]-code) | [i] | ✔ | |