Information on Result #914757
Linear OOA(2178, 165, F2, 2, 53) (dual of [(165, 2), 152, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1628, 33, F16, 2, 26) (dual of [(33, 2), 38, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,39P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2178, 165, F2, 2, 52) (dual of [(165, 2), 152, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2180, 166, F2, 2, 53) (dual of [(166, 2), 152, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2182, 167, F2, 2, 53) (dual of [(167, 2), 152, 54]-NRT-code) | [i] | ||
| 4 | Linear OOA(2179, 165, F2, 2, 53) (dual of [(165, 2), 151, 54]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2177, 164, F2, 2, 52) (dual of [(164, 2), 151, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2178, 82, F2, 4, 53) (dual of [(82, 4), 150, 54]-NRT-code) | [i] | OOA Folding | |