Information on Result #2495355
Linear OOA(4151, 4194304, F4, 2, 17) (dual of [(4194304, 2), 8388457, 18]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(4145, 4194301, F4, 2, 17) (dual of [(4194301, 2), 8388457, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4145, 8388602, F4, 17) (dual of [8388602, 8388457, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4152, 4194304, F4, 2, 17) (dual of [(4194304, 2), 8388456, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4151, 4194304, F4, 3, 17) (dual of [(4194304, 3), 12582761, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (134, 151, 4194304)-net over F4 | [i] | ||