Information on Result #1028916
Linear OOA(2110, 40, F2, 3, 69) (dual of [(40, 3), 10, 70]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(326, 8, F32, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2110, 40, F2, 3, 68) (dual of [(40, 3), 10, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2110, 40, F2, 3, 67) (dual of [(40, 3), 10, 68]-NRT-code) | [i] | ||
| 3 | Linear OOA(2110, 40, F2, 3, 66) (dual of [(40, 3), 10, 67]-NRT-code) | [i] | ||
| 4 | Linear OOA(2107, 39, F2, 3, 66) (dual of [(39, 3), 10, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2110, 20, F2, 6, 69) (dual of [(20, 6), 10, 70]-NRT-code) | [i] | OOA Folding | |