Information on Result #824461
Linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using OOA 2-folding 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]
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(4243, 4194302, F4, 2, 27) (dual of [(4194302, 2), 8388361, 28]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4245, 4194303, F4, 2, 27) (dual of [(4194303, 2), 8388361, 28]-NRT-code) | [i] | ||
| 3 | Linear OOA(4247, 4194304, F4, 2, 27) (dual of [(4194304, 2), 8388361, 28]-NRT-code) | [i] | ||
| 4 | Linear OOA(4249, 4194305, F4, 2, 27) (dual of [(4194305, 2), 8388361, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(4251, 4194306, F4, 2, 27) (dual of [(4194306, 2), 8388361, 28]-NRT-code) | [i] | ||
| 6 | Linear OOA(4253, 4194307, F4, 2, 27) (dual of [(4194307, 2), 8388361, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(4242, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388360, 28]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(4254, 4194308, F4, 2, 27) (dual of [(4194308, 2), 8388362, 28]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(4255, 4194310, F4, 2, 27) (dual of [(4194310, 2), 8388365, 28]-NRT-code) | [i] | ||
| 10 | Linear OOA(4256, 4194311, F4, 2, 27) (dual of [(4194311, 2), 8388366, 28]-NRT-code) | [i] | ||
| 11 | Linear OOA(4257, 4194315, F4, 2, 27) (dual of [(4194315, 2), 8388373, 28]-NRT-code) | [i] | ||
| 12 | Linear OOA(4258, 4194316, F4, 2, 27) (dual of [(4194316, 2), 8388374, 28]-NRT-code) | [i] | ||
| 13 | Linear OOA(4259, 4194318, F4, 2, 27) (dual of [(4194318, 2), 8388377, 28]-NRT-code) | [i] | ||
| 14 | Linear OOA(4241, 3234097, F4, 3, 27) (dual of [(3234097, 3), 9702050, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 15 | Digital (214, 241, 3234097)-net over F4 | [i] | ||