Information on Result #915931
Linear OOA(3246, 165, F3, 2, 111) (dual of [(165, 2), 84, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(968, 55, F9, 2, 55) (dual of [(55, 2), 42, 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(3246, 165, F3, 2, 110) (dual of [(165, 2), 84, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3247, 165, F3, 2, 111) (dual of [(165, 2), 83, 112]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3245, 164, F3, 2, 110) (dual of [(164, 2), 83, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3246, 82, F3, 4, 111) (dual of [(82, 4), 82, 112]-NRT-code) | [i] | OOA Folding | |