Information on Result #662146
Linear OA(4188, 65556, F4, 29) (dual of [65556, 65368, 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(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, 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(4188, 53819, F4, 2, 29) (dual of [(53819, 2), 107450, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4188, 53819, F4, 3, 29) (dual of [(53819, 3), 161269, 30]-NRT-code) | [i] | ||
| 3 | Digital (159, 188, 53819)-net over F4 | [i] | ||