Information on Result #912109
Linear OOA(2250, 150, F2, 2, 104) (dual of [(150, 2), 50, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3220, 30, F32, 20) (dual of [30, 10, 21]-code or 30-arc in PG(19,32)), using
- discarding factors / shortening the dual code based on linear OA(3220, 32, F32, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,32)), using
- Reed–Solomon code RS(12,32) [i]
- discarding factors / shortening the dual code based on linear OA(3220, 32, F32, 20) (dual of [32, 12, 21]-code or 32-arc in PG(19,32)), using
- linear OOA(25, 5, F2, 2, 4) (dual of [(5, 2), 5, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;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(2250, 150, F2, 2, 103) (dual of [(150, 2), 50, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2250, 150, F2, 2, 102) (dual of [(150, 2), 50, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(2250, 150, F2, 2, 101) (dual of [(150, 2), 50, 102]-NRT-code) | [i] | ||
| 4 | Linear OOA(2250, 150, F2, 2, 100) (dual of [(150, 2), 50, 101]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 151, F2, 2, 104) (dual of [(151, 2), 50, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(2254, 152, F2, 2, 104) (dual of [(152, 2), 50, 105]-NRT-code) | [i] | ||
| 7 | Linear OOA(2251, 150, F2, 2, 104) (dual of [(150, 2), 49, 105]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2249, 149, F2, 2, 103) (dual of [(149, 2), 49, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2248, 149, F2, 2, 102) (dual of [(149, 2), 50, 103]-NRT-code) | [i] | ||
| 10 | Linear OOA(2247, 148, F2, 2, 101) (dual of [(148, 2), 49, 102]-NRT-code) | [i] | ||
| 11 | Linear OOA(2246, 148, F2, 2, 100) (dual of [(148, 2), 50, 101]-NRT-code) | [i] | ||
| 12 | Linear OOA(2250, 75, F2, 4, 104) (dual of [(75, 4), 50, 105]-NRT-code) | [i] | OOA Folding | |