Information on Result #700981
Linear OA(419, 63, F4, 8) (dual of [63, 44, 9]-code), using the primitive cyclic code C(A) with length 63 = 43−1, defining set A = {0,1,2,3,5,31,47}, and minimum distance d ≥ |{−2,−1,…,5}|+1 = 9 (BCH-bound)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(419, 60, F4, 2, 8) (dual of [(60, 2), 101, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(419, 60, F4, 3, 8) (dual of [(60, 3), 161, 9]-NRT-code) | [i] | ||
| 3 | Digital (11, 19, 60)-net over F4 | [i] | ||
| 4 | Linear OA(420, 73, F4, 8) (dual of [73, 53, 9]-code) | [i] | ✔ | Construction XX with Cyclic Codes |