Information on Result #915006
Linear OOA(2250, 245, F2, 2, 67) (dual of [(245, 2), 240, 68]-NRT-code), using concatenation of two NRT-codes 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
- 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(2250, 245, F2, 2, 66) (dual of [(245, 2), 240, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2252, 246, F2, 2, 67) (dual of [(246, 2), 240, 68]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2251, 245, F2, 2, 67) (dual of [(245, 2), 239, 68]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2249, 244, F2, 2, 66) (dual of [(244, 2), 239, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2250, 122, F2, 4, 67) (dual of [(122, 4), 238, 68]-NRT-code) | [i] | OOA Folding | |