Information on Result #916586
Linear OOA(3243, 204, F3, 2, 89) (dual of [(204, 2), 165, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(2747, 51, F27, 2, 44) (dual of [(51, 2), 55, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2747, 52, F27, 2, 44) (dual of [(52, 2), 57, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,59P) [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OOA(2747, 52, F27, 2, 44) (dual of [(52, 2), 57, 45]-NRT-code), using
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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(3243, 204, F3, 2, 88) (dual of [(204, 2), 165, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3244, 204, F3, 2, 89) (dual of [(204, 2), 164, 90]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3242, 203, F3, 2, 88) (dual of [(203, 2), 164, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3243, 102, F3, 4, 89) (dual of [(102, 4), 165, 90]-NRT-code) | [i] | OOA Folding | |