Information on Result #2496553
Linear OOA(4251, 4194306, F4, 2, 27) (dual of [(4194306, 2), 8388361, 28]-NRT-code), using 5 times NRT-code embedding in larger space based on linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-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(4252, 4194306, F4, 2, 27) (dual of [(4194306, 2), 8388360, 28]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4251, 4194306, F4, 3, 27) (dual of [(4194306, 3), 12582667, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (224, 251, 4194306)-net over F4 | [i] | ||