Information on Result #662405
Linear OA(4185, 262158, F4, 26) (dual of [262158, 261973, 27]-code), using (u, u+v)-construction based on
- linear OA(413, 14, F4, 13) (dual of [14, 1, 14]-code or 14-arc in PG(12,4)), using
- dual of repetition code with length 14 [i]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(4185, 134888, F4, 2, 26) (dual of [(134888, 2), 269591, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4185, 134888, F4, 3, 26) (dual of [(134888, 3), 404479, 27]-NRT-code) | [i] | ||
| 3 | Digital (159, 185, 134888)-net over F4 | [i] | ||