Information on Result #662500
Linear OA(4126, 65565, F4, 19) (dual of [65565, 65439, 20]-code), using (u, u+v)-construction based on
- linear OA(413, 28, F4, 9) (dual of [28, 15, 10]-code), using
- 2 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]
- 2 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(4113, 65537, F4, 19) (dual of [65537, 65424, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4126, 63921, F4, 2, 19) (dual of [(63921, 2), 127716, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4126, 63921, F4, 3, 19) (dual of [(63921, 3), 191637, 20]-NRT-code) | [i] | ||
| 3 | Digital (107, 126, 63921)-net over F4 | [i] | ||