Information on Result #1029653
Linear OOA(2243, 99, F2, 3, 115) (dual of [(99, 3), 54, 116]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(472, 33, F4, 3, 57) (dual of [(33, 3), 27, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,41P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2243, 99, F2, 3, 114) (dual of [(99, 3), 54, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2243, 99, F2, 3, 113) (dual of [(99, 3), 54, 114]-NRT-code) | [i] | ||
| 3 | Linear OOA(2243, 99, F2, 3, 112) (dual of [(99, 3), 54, 113]-NRT-code) | [i] | ||
| 4 | Linear OOA(2246, 100, F2, 3, 115) (dual of [(100, 3), 54, 116]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2249, 101, F2, 3, 115) (dual of [(101, 3), 54, 116]-NRT-code) | [i] | ||
| 6 | Linear OOA(2252, 102, F2, 3, 115) (dual of [(102, 3), 54, 116]-NRT-code) | [i] | ||
| 7 | Linear OOA(2255, 103, F2, 3, 115) (dual of [(103, 3), 54, 116]-NRT-code) | [i] | ||
| 8 | Linear OOA(2244, 99, F2, 3, 115) (dual of [(99, 3), 53, 116]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2243, 49, F2, 6, 115) (dual of [(49, 6), 51, 116]-NRT-code) | [i] | OOA Folding | |