Information on Result #915933
Linear OOA(3242, 159, F3, 2, 111) (dual of [(159, 2), 76, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(968, 53, F9, 2, 55) (dual of [(53, 2), 38, 56]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(968, 63, F9, 2, 55) (dual of [(63, 2), 58, 56]-NRT-code), using
- algebraic-geometric NRT-code AG(2;F,70P) [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OOA(968, 63, F9, 2, 55) (dual of [(63, 2), 58, 56]-NRT-code), 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(3242, 159, F3, 2, 110) (dual of [(159, 2), 76, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3243, 159, F3, 2, 111) (dual of [(159, 2), 75, 112]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3241, 158, F3, 2, 110) (dual of [(158, 2), 75, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3242, 79, F3, 4, 111) (dual of [(79, 4), 74, 112]-NRT-code) | [i] | OOA Folding | |