Information on Result #912122
Linear OOA(2255, 145, F2, 2, 114) (dual of [(145, 2), 35, 115]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3222, 29, F32, 22) (dual of [29, 7, 23]-code or 29-arc in PG(21,32)), using
- discarding factors / shortening the dual code based on linear OA(3222, 32, F32, 22) (dual of [32, 10, 23]-code or 32-arc in PG(21,32)), using
- Reed–Solomon code RS(10,32) [i]
- discarding factors / shortening the dual code based on linear OA(3222, 32, F32, 22) (dual of [32, 10, 23]-code or 32-arc in PG(21,32)), 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, 145, F2, 2, 113) (dual of [(145, 2), 35, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2255, 145, F2, 2, 112) (dual of [(145, 2), 35, 113]-NRT-code) | [i] | ||
| 3 | Linear OOA(2255, 145, F2, 2, 111) (dual of [(145, 2), 35, 112]-NRT-code) | [i] | ||
| 4 | Linear OOA(2255, 145, F2, 2, 110) (dual of [(145, 2), 35, 111]-NRT-code) | [i] | ||
| 5 | Linear OOA(2257, 146, F2, 2, 114) (dual of [(146, 2), 35, 115]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(2259, 147, F2, 2, 114) (dual of [(147, 2), 35, 115]-NRT-code) | [i] | ||
| 7 | Linear OOA(2256, 145, F2, 2, 114) (dual of [(145, 2), 34, 115]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2255, 72, F2, 4, 114) (dual of [(72, 4), 33, 115]-NRT-code) | [i] | OOA Folding | |