Information on Result #824031
Linear OOA(4144, 32768, F4, 2, 24) (dual of [(32768, 2), 65392, 25]-NRT-code), using OOA 2-folding based on linear OA(4144, 65536, F4, 24) (dual of [65536, 65392, 25]-code), using
- 1 times truncation [i] based on linear OA(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, 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(4144, 32768, F4, 3, 24) (dual of [(32768, 3), 98160, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (120, 144, 32768)-net over F4 | [i] | ||