Information on Result #662481
Linear OA(4120, 16413, F4, 21) (dual of [16413, 16293, 22]-code), using (u, u+v)-construction based on
- linear OA(414, 29, F4, 10) (dual of [29, 15, 11]-code), using
- 1 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 1 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4120, 15577, F4, 2, 21) (dual of [(15577, 2), 31034, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4120, 15577, F4, 3, 21) (dual of [(15577, 3), 46611, 22]-NRT-code) | [i] | ||
| 3 | Digital (99, 120, 15577)-net over F4 | [i] | ||