Information on Result #1029246
Linear OOA(286, 42, F2, 3, 39) (dual of [(42, 3), 40, 40]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(422, 14, F4, 3, 19) (dual of [(14, 3), 20, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,22P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, 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(286, 42, F2, 3, 38) (dual of [(42, 3), 40, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(286, 42, F2, 3, 37) (dual of [(42, 3), 40, 38]-NRT-code) | [i] | ||
| 3 | Linear OOA(289, 43, F2, 3, 39) (dual of [(43, 3), 40, 40]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(287, 42, F2, 3, 39) (dual of [(42, 3), 39, 40]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(285, 41, F2, 3, 38) (dual of [(41, 3), 38, 39]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(286, 21, F2, 5, 39) (dual of [(21, 5), 19, 40]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(286, 21, F2, 6, 39) (dual of [(21, 6), 40, 40]-NRT-code) | [i] | ||