Information on Result #914870
Linear OOA(2222, 225, F2, 2, 59) (dual of [(225, 2), 228, 60]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1633, 45, F16, 2, 29) (dual of [(45, 2), 57, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,60P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(2222, 225, F2, 2, 58) (dual of [(225, 2), 228, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 226, F2, 2, 59) (dual of [(226, 2), 228, 60]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2223, 225, F2, 2, 59) (dual of [(225, 2), 227, 60]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2221, 224, F2, 2, 58) (dual of [(224, 2), 227, 59]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2222, 112, F2, 4, 59) (dual of [(112, 4), 226, 60]-NRT-code) | [i] | OOA Folding | |