Information on Result #823219
Linear OOA(4108, 131072, F4, 2, 16) (dual of [(131072, 2), 262036, 17]-NRT-code), using OOA 2-folding based on linear OA(4108, 262144, F4, 16) (dual of [262144, 262036, 17]-code), using
- 1 times truncation [i] based on linear OA(4109, 262145, F4, 17) (dual of [262145, 262036, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(4108, 131072, F4, 3, 16) (dual of [(131072, 3), 393108, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (92, 108, 131072)-net over F4 | [i] | ||