Information on Result #662554
Linear OA(4121, 1048596, F4, 15) (dual of [1048596, 1048475, 16]-code), using (u, u+v)-construction based on
- linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- linear OA(4111, 1048576, F4, 15) (dual of [1048576, 1048465, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(4121, 681955, F4, 2, 15) (dual of [(681955, 2), 1363789, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4121, 681955, F4, 3, 15) (dual of [(681955, 3), 2045744, 16]-NRT-code) | [i] | ||
| 3 | Digital (106, 121, 681955)-net over F4 | [i] | ||