Information on Result #915658
Linear OOA(3174, 117, F3, 2, 81) (dual of [(117, 2), 60, 82]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(948, 39, F9, 2, 40) (dual of [(39, 2), 30, 41]-NRT-code), using
- algebraic-geometric NRT-code AG(2;F,37P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 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(3174, 117, F3, 2, 80) (dual of [(117, 2), 60, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3175, 117, F3, 2, 81) (dual of [(117, 2), 59, 82]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3173, 116, F3, 2, 80) (dual of [(116, 2), 59, 81]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3174, 58, F3, 4, 81) (dual of [(58, 4), 58, 82]-NRT-code) | [i] | OOA Folding | |