Information on Result #962043
Linear OOA(4166, 1398101, F4, 3, 21) (dual of [(1398101, 3), 4194137, 22]-NRT-code), using OOA 3-folding based on linear OA(4166, 4194303, F4, 21) (dual of [4194303, 4194137, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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 | Digital (145, 166, 1398101)-net over F4 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |