Information on Result #1088111
Linear OOA(2224, 81, F2, 4, 83) (dual of [(81, 4), 100, 84]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1629, 27, F16, 2, 27) (dual of [(27, 2), 25, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1629, 33, F16, 2, 27) (dual of [(33, 2), 37, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,38P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1629, 33, F16, 2, 27) (dual of [(33, 2), 37, 28]-NRT-code), using
- linear OOA(22, 3, F2, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,2) [i]
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(2224, 81, F2, 4, 82) (dual of [(81, 4), 100, 83]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2224, 81, F2, 4, 81) (dual of [(81, 4), 100, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(2225, 81, F2, 4, 83) (dual of [(81, 4), 99, 84]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2227, 81, F2, 4, 83) (dual of [(81, 4), 97, 84]-NRT-code) | [i] | ||
| 5 | Linear OOA(2223, 80, F2, 4, 82) (dual of [(80, 4), 97, 83]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2222, 80, F2, 4, 81) (dual of [(80, 4), 98, 82]-NRT-code) | [i] | ||
| 7 | Linear OOA(2224, 40, F2, 7, 83) (dual of [(40, 7), 56, 84]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2224, 40, F2, 8, 83) (dual of [(40, 8), 96, 84]-NRT-code) | [i] | ||