Information on Result #914769
Linear OOA(2182, 175, F2, 2, 51) (dual of [(175, 2), 168, 52]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1628, 35, F16, 2, 25) (dual of [(35, 2), 42, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1628, 38, F16, 2, 25) (dual of [(38, 2), 48, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,50P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OOA(1628, 38, F16, 2, 25) (dual of [(38, 2), 48, 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(2182, 175, F2, 2, 50) (dual of [(175, 2), 168, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2183, 175, F2, 2, 51) (dual of [(175, 2), 167, 52]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2181, 174, F2, 2, 50) (dual of [(174, 2), 167, 51]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2182, 87, F2, 4, 51) (dual of [(87, 4), 166, 52]-NRT-code) | [i] | OOA Folding | |