Information on Result #915007
Linear OOA(2248, 240, F2, 2, 67) (dual of [(240, 2), 232, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(1638, 48, F16, 2, 33) (dual of [(48, 2), 58, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1638, 49, F16, 2, 33) (dual of [(49, 2), 60, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,64P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- discarding factors / shortening the dual code based on linear OOA(1638, 49, F16, 2, 33) (dual of [(49, 2), 60, 34]-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(2248, 240, F2, 2, 66) (dual of [(240, 2), 232, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2249, 240, F2, 2, 67) (dual of [(240, 2), 231, 68]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2247, 239, F2, 2, 66) (dual of [(239, 2), 231, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2248, 120, F2, 4, 67) (dual of [(120, 4), 232, 68]-NRT-code) | [i] | OOA Folding | |