Information on Result #914793
Linear OOA(2198, 205, F2, 2, 51) (dual of [(205, 2), 212, 52]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1629, 41, F16, 2, 25) (dual of [(41, 2), 53, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1629, 45, F16, 2, 25) (dual of [(45, 2), 61, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,64P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OOA(1629, 45, F16, 2, 25) (dual of [(45, 2), 61, 26]-NRT-code), 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(2198, 205, F2, 2, 50) (dual of [(205, 2), 212, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2199, 205, F2, 2, 51) (dual of [(205, 2), 211, 52]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2197, 204, F2, 2, 50) (dual of [(204, 2), 211, 51]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2198, 102, F2, 4, 51) (dual of [(102, 4), 210, 52]-NRT-code) | [i] | OOA Folding | |