Information on Result #2613875
Linear OOA(2162, 100, F2, 3, 50) (dual of [(100, 3), 138, 51]-NRT-code), using strength reduction based on linear OOA(2162, 100, F2, 3, 51) (dual of [(100, 3), 138, 52]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(829, 25, F8, 3, 25) (dual of [(25, 3), 46, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,49P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 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
- linear OOA(829, 25, F8, 3, 25) (dual of [(25, 3), 46, 26]-NRT-code), 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(2165, 101, F2, 3, 50) (dual of [(101, 3), 138, 51]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2163, 100, F2, 3, 50) (dual of [(100, 3), 137, 51]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2164, 100, F2, 3, 50) (dual of [(100, 3), 136, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2162, 50, F2, 5, 50) (dual of [(50, 5), 88, 51]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2162, 50, F2, 6, 50) (dual of [(50, 6), 138, 51]-NRT-code) | [i] | ||