Information on Result #1028896
Linear OOA(2245, 105, F2, 3, 104) (dual of [(105, 3), 70, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3221, 35, F32, 20) (dual of [35, 14, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using
- algebraic-geometric code AG(F,22P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using
- linear OOA(24, 3, F2, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;5,2) [i]
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(2245, 105, F2, 3, 103) (dual of [(105, 3), 70, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2245, 105, F2, 3, 102) (dual of [(105, 3), 70, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(2245, 105, F2, 3, 101) (dual of [(105, 3), 70, 102]-NRT-code) | [i] | ||
| 4 | Linear OOA(2248, 106, F2, 3, 104) (dual of [(106, 3), 70, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2246, 105, F2, 3, 104) (dual of [(105, 3), 69, 105]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2244, 104, F2, 3, 103) (dual of [(104, 3), 68, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2243, 104, F2, 3, 102) (dual of [(104, 3), 69, 103]-NRT-code) | [i] | ||
| 8 | Linear OOA(2242, 104, F2, 3, 101) (dual of [(104, 3), 70, 102]-NRT-code) | [i] | ||
| 9 | Linear OOA(2241, 103, F2, 3, 100) (dual of [(103, 3), 68, 101]-NRT-code) | [i] | ||
| 10 | Linear OOA(2245, 52, F2, 6, 104) (dual of [(52, 6), 67, 105]-NRT-code) | [i] | OOA Folding | |