Information on Result #662147
Linear OA(4209, 262164, F4, 29) (dual of [262164, 261955, 30]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(49, 10, F4, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using
- dual of repetition code with length 10 [i]
- linear OA(410, 10, F4, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,4)), using
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(4209, 158241, F4, 2, 29) (dual of [(158241, 2), 316273, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4209, 158241, F4, 3, 29) (dual of [(158241, 3), 474514, 30]-NRT-code) | [i] | ||
| 3 | Digital (180, 209, 158241)-net over F4 | [i] | ||