Information on Result #707667
Linear OA(450, 1023, F4, 13) (dual of [1023, 973, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(450, 779, F4, 2, 13) (dual of [(779, 2), 1508, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(450, 779, F4, 3, 13) (dual of [(779, 3), 2287, 14]-NRT-code) | [i] | ||
| 3 | Digital (37, 50, 779)-net over F4 | [i] | ||
| 4 | Linear OA(472, 1049, F4, 18) (dual of [1049, 977, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(488, 1062, F4, 20) (dual of [1062, 974, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(486, 1059, F4, 21) (dual of [1059, 973, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(485, 1057, F4, 21) (dual of [1057, 972, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(494, 1067, F4, 22) (dual of [1067, 973, 23]-code) | [i] | ✔ | |
| 9 | Linear OA(4102, 1072, F4, 23) (dual of [1072, 970, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(4101, 1070, F4, 23) (dual of [1070, 969, 24]-code) | [i] | ✔ | |