Information on Result #1021634
Linear OOA(512, 95, F5, 3, 5) (dual of [(95, 3), 273, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(51, 31, F5, 3, 1) (dual of [(31, 3), 92, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 3, 1) for arbitrarily large s, using
- linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- linear OOA(58, 33, F5, 3, 5) (dual of [(33, 3), 91, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 8, 33)-net over F5, using
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 | Linear OOA(593, 2796296, F5, 3, 11) (dual of [(2796296, 3), 8388795, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(5114, 4194396, F5, 3, 11) (dual of [(4194396, 3), 12583074, 12]-NRT-code) | [i] | ||
3 | Linear OOA(5104, 4194396, F5, 3, 10) (dual of [(4194396, 3), 12583084, 11]-NRT-code) | [i] |