Information on Result #1030524
Linear OOA(3240, 102, F3, 3, 127) (dual of [(102, 3), 66, 128]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(969, 34, F9, 3, 63) (dual of [(34, 3), 33, 64]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,38P) [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
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(3240, 102, F3, 3, 126) (dual of [(102, 3), 66, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3240, 102, F3, 3, 125) (dual of [(102, 3), 66, 126]-NRT-code) | [i] | ||
| 3 | Linear OOA(3240, 102, F3, 3, 124) (dual of [(102, 3), 66, 125]-NRT-code) | [i] | ||
| 4 | Linear OOA(3243, 103, F3, 3, 127) (dual of [(103, 3), 66, 128]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3241, 102, F3, 3, 127) (dual of [(102, 3), 65, 128]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3239, 101, F3, 3, 126) (dual of [(101, 3), 64, 127]-NRT-code) | [i] | Truncation for OOAs | |