Information on Result #662634
Linear OA(484, 4194316, F4, 10) (dual of [4194316, 4194232, 11]-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(478, 4194304, F4, 10) (dual of [4194304, 4194226, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(484, 2212790, F4, 2, 10) (dual of [(2212790, 2), 4425496, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(484, 2212790, F4, 3, 10) (dual of [(2212790, 3), 6638286, 11]-NRT-code) | [i] | ||
| 3 | Digital (74, 84, 2212790)-net over F4 | [i] | ||