Information on Result #1030434
Linear OOA(3232, 108, F3, 3, 111) (dual of [(108, 3), 92, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(962, 36, F9, 3, 55) (dual of [(36, 3), 46, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,52P) [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(3232, 108, F3, 3, 110) (dual of [(108, 3), 92, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3232, 108, F3, 3, 109) (dual of [(108, 3), 92, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(3232, 108, F3, 3, 108) (dual of [(108, 3), 92, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(3235, 109, F3, 3, 111) (dual of [(109, 3), 92, 112]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3233, 108, F3, 3, 111) (dual of [(108, 3), 91, 112]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3231, 107, F3, 3, 110) (dual of [(107, 3), 90, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3232, 54, F3, 5, 111) (dual of [(54, 5), 38, 112]-NRT-code) | [i] | OOA Folding | |