Information on Result #915647
Linear OOA(3174, 120, F3, 2, 79) (dual of [(120, 2), 66, 80]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(947, 40, F9, 2, 39) (dual of [(40, 2), 33, 40]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,40P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, 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(3174, 120, F3, 2, 78) (dual of [(120, 2), 66, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3176, 121, F3, 2, 79) (dual of [(121, 2), 66, 80]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3178, 122, F3, 2, 79) (dual of [(122, 2), 66, 80]-NRT-code) | [i] | ||
| 4 | Linear OOA(3180, 123, F3, 2, 79) (dual of [(123, 2), 66, 80]-NRT-code) | [i] | ||
| 5 | Linear OOA(3182, 124, F3, 2, 79) (dual of [(124, 2), 66, 80]-NRT-code) | [i] | ||
| 6 | Linear OOA(3175, 120, F3, 2, 79) (dual of [(120, 2), 65, 80]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(3173, 119, F3, 2, 78) (dual of [(119, 2), 65, 79]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(3174, 60, F3, 4, 79) (dual of [(60, 4), 66, 80]-NRT-code) | [i] | OOA Folding | |