Information on Result #662153
Linear OA(4189, 262162, F4, 26) (dual of [262162, 261973, 27]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(48, 9, F4, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,4)), using
- dual of repetition code with length 9 [i]
- linear OA(49, 9, F4, 9) (dual of [9, 0, 10]-code or 9-arc in PG(8,4)), using
- 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(4189, 169953, F4, 2, 26) (dual of [(169953, 2), 339717, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4189, 169953, F4, 3, 26) (dual of [(169953, 3), 509670, 27]-NRT-code) | [i] | ||
| 3 | Digital (163, 189, 169953)-net over F4 | [i] | ||