Information on Result #914748
Linear OOA(2178, 175, F2, 2, 49) (dual of [(175, 2), 172, 50]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1627, 35, F16, 2, 24) (dual of [(35, 2), 43, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1627, 38, F16, 2, 24) (dual of [(38, 2), 49, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,51P) [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(1627, 38, F16, 2, 24) (dual of [(38, 2), 49, 25]-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(2178, 175, F2, 2, 48) (dual of [(175, 2), 172, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2179, 175, F2, 2, 49) (dual of [(175, 2), 171, 50]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2177, 174, F2, 2, 48) (dual of [(174, 2), 171, 49]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2178, 87, F2, 4, 49) (dual of [(87, 4), 170, 50]-NRT-code) | [i] | OOA Folding | |