Information on Result #2503849
Linear OOA(583, 4194302, F5, 2, 11) (dual of [(4194302, 2), 8388521, 12]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(581, 4194301, F5, 2, 11) (dual of [(4194301, 2), 8388521, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(581, 8388602, F5, 11) (dual of [8388602, 8388521, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-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(584, 4194302, F5, 2, 11) (dual of [(4194302, 2), 8388520, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(583, 4194302, F5, 3, 11) (dual of [(4194302, 3), 12582823, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (72, 83, 4194302)-net over F5 | [i] | ||