Information on Result #1121304
Linear OOA(2242, 50, F2, 5, 188) (dual of [(50, 5), 8, 189]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(168, 10, F16, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,16)), using
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- Reed–Solomon code RS(8,16) [i]
- discarding factors / shortening the dual code based on linear OA(168, 16, F16, 8) (dual of [16, 8, 9]-code or 16-arc in PG(7,16)), using
- linear OOA(221, 5, F2, 5, 20) (dual of [(5, 5), 4, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,4P) [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(2242, 50, F2, 5, 187) (dual of [(50, 5), 8, 188]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2242, 50, F2, 5, 186) (dual of [(50, 5), 8, 187]-NRT-code) | [i] | ||
| 3 | Linear OOA(2242, 50, F2, 5, 185) (dual of [(50, 5), 8, 186]-NRT-code) | [i] | ||
| 4 | Linear OOA(2241, 49, F2, 5, 187) (dual of [(49, 5), 4, 188]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2237, 49, F2, 5, 183) (dual of [(49, 5), 8, 184]-NRT-code) | [i] | ||