Information on Result #2763337
Linear OOA(2184, 51, F2, 4, 113) (dual of [(51, 4), 20, 114]-NRT-code), using strength reduction based on linear OOA(2184, 51, F2, 4, 116) (dual of [(51, 4), 20, 117]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1612, 17, F16, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
- extended Reed–Solomon code RSe(5,16) [i]
- linear OOA(28, 3, F2, 4, 8) (dual of [(3, 4), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;4,2) [i]
- linear OA(1612, 17, F16, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), 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(2188, 52, F2, 4, 113) (dual of [(52, 4), 20, 114]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2185, 51, F2, 4, 113) (dual of [(51, 4), 19, 114]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2186, 51, F2, 4, 113) (dual of [(51, 4), 18, 114]-NRT-code) | [i] | ||
| 4 | Linear OOA(2182, 50, F2, 4, 111) (dual of [(50, 4), 18, 112]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2181, 50, F2, 4, 110) (dual of [(50, 4), 19, 111]-NRT-code) | [i] | ||
| 6 | Linear OOA(2180, 50, F2, 4, 109) (dual of [(50, 4), 20, 110]-NRT-code) | [i] | ||