Information on Result #914585
Linear OOA(2102, 105, F2, 2, 29) (dual of [(105, 2), 108, 30]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1615, 21, F16, 2, 14) (dual of [(21, 2), 27, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1615, 24, F16, 2, 14) (dual of [(24, 2), 33, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,33P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(1615, 24, F16, 2, 14) (dual of [(24, 2), 33, 15]-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(2102, 105, F2, 2, 28) (dual of [(105, 2), 108, 29]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2103, 105, F2, 2, 29) (dual of [(105, 2), 107, 30]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2101, 104, F2, 2, 28) (dual of [(104, 2), 107, 29]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2102, 52, F2, 4, 29) (dual of [(52, 4), 106, 30]-NRT-code) | [i] | OOA Folding | |