Information on Result #912108
Linear OOA(2255, 155, F2, 2, 104) (dual of [(155, 2), 55, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3220, 31, F32, 20) (dual of [31, 11, 21]-code or 31-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(2255, 155, F2, 2, 103) (dual of [(155, 2), 55, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2255, 155, F2, 2, 102) (dual of [(155, 2), 55, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 156, F2, 2, 104) (dual of [(156, 2), 55, 105]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2259, 157, F2, 2, 104) (dual of [(157, 2), 55, 105]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 155, F2, 2, 104) (dual of [(155, 2), 54, 105]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2254, 154, F2, 2, 103) (dual of [(154, 2), 54, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2253, 154, F2, 2, 102) (dual of [(154, 2), 55, 103]-NRT-code) | [i] | ||
| 8 | Linear OOA(2252, 153, F2, 2, 101) (dual of [(153, 2), 54, 102]-NRT-code) | [i] | ||
| 9 | Linear OOA(2251, 153, F2, 2, 100) (dual of [(153, 2), 55, 101]-NRT-code) | [i] | ||
| 10 | Linear OOA(2255, 77, F2, 4, 104) (dual of [(77, 4), 53, 105]-NRT-code) | [i] | OOA Folding | |