Information on Result #662423
Linear OA(4178, 262163, F4, 25) (dual of [262163, 261985, 26]-code), using (u, u+v)-construction based on
- linear OA(415, 18, F4, 12) (dual of [18, 3, 13]-code), using
- 3 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- 3 times truncation [i] based on linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(4178, 135058, F4, 2, 25) (dual of [(135058, 2), 269938, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4178, 135058, F4, 3, 25) (dual of [(135058, 3), 404996, 26]-NRT-code) | [i] | ||
| 3 | Digital (153, 178, 135058)-net over F4 | [i] | ||