Information on Result #915939
Linear OOA(3246, 162, F3, 2, 113) (dual of [(162, 2), 78, 114]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(969, 54, F9, 2, 56) (dual of [(54, 2), 39, 57]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(969, 63, F9, 2, 56) (dual of [(63, 2), 57, 57]-NRT-code), using
- algebraic-geometric NRT-code AG(2;F,69P) [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(969, 63, F9, 2, 56) (dual of [(63, 2), 57, 57]-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, 162, F3, 2, 112) (dual of [(162, 2), 78, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3247, 162, F3, 2, 113) (dual of [(162, 2), 77, 114]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3245, 161, F3, 2, 112) (dual of [(161, 2), 77, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3246, 81, F3, 4, 113) (dual of [(81, 4), 78, 114]-NRT-code) | [i] | OOA Folding | |