Information on Result #1030366
Linear OOA(3222, 108, F3, 3, 101) (dual of [(108, 3), 102, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(957, 36, F9, 3, 50) (dual of [(36, 3), 51, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,57P) [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, 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(3222, 108, F3, 3, 100) (dual of [(108, 3), 102, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3222, 108, F3, 3, 99) (dual of [(108, 3), 102, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(3225, 109, F3, 3, 101) (dual of [(109, 3), 102, 102]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3223, 108, F3, 3, 101) (dual of [(108, 3), 101, 102]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3221, 107, F3, 3, 100) (dual of [(107, 3), 100, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3222, 54, F3, 5, 101) (dual of [(54, 5), 48, 102]-NRT-code) | [i] | OOA Folding | |