Information on Result #2627787
Linear OOA(3228, 102, F3, 3, 114) (dual of [(102, 3), 78, 115]-NRT-code), using strength reduction based on linear OOA(3228, 102, F3, 3, 115) (dual of [(102, 3), 78, 116]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(963, 34, F9, 3, 57) (dual of [(34, 3), 39, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,44P) [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, 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
- linear OOA(963, 34, F9, 3, 57) (dual of [(34, 3), 39, 58]-NRT-code), 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(3231, 103, F3, 3, 114) (dual of [(103, 3), 78, 115]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3229, 102, F3, 3, 114) (dual of [(102, 3), 77, 115]-NRT-code) | [i] | OOA Duplication | |