Information on Result #662402
Linear OA(4166, 65550, F4, 26) (dual of [65550, 65384, 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(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, 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(4166, 45001, F4, 2, 26) (dual of [(45001, 2), 89836, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4166, 45001, F4, 3, 26) (dual of [(45001, 3), 134837, 27]-NRT-code) | [i] | ||
| 3 | Digital (140, 166, 45001)-net over F4 | [i] | ||