Information on Result #662619
Linear OA(495, 4194317, F4, 11) (dual of [4194317, 4194222, 12]-code), using (u, u+v)-construction based on
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- linear OA(489, 4194305, F4, 11) (dual of [4194305, 4194216, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(495, 2684178, F4, 2, 11) (dual of [(2684178, 2), 5368261, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(495, 2684178, F4, 3, 11) (dual of [(2684178, 3), 8052439, 12]-NRT-code) | [i] | ||
| 3 | Digital (84, 95, 2684178)-net over F4 | [i] | ||