Information on Result #662298
Linear OA(4243, 262162, F4, 34) (dual of [262162, 261919, 35]-code), using (u, u+v)-construction based on
- linear OA(417, 18, F4, 17) (dual of [18, 1, 18]-code or 18-arc in PG(16,4)), using
- dual of repetition code with length 18 [i]
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(4243, 152323, F4, 2, 34) (dual of [(152323, 2), 304403, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4243, 152323, F4, 3, 34) (dual of [(152323, 3), 456726, 35]-NRT-code) | [i] | ||
| 3 | Digital (209, 243, 152323)-net over F4 | [i] | ||