Information on Result #912056
Linear OOA(2165, 95, F2, 2, 74) (dual of [(95, 2), 25, 75]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(3214, 19, F32, 14) (dual of [19, 5, 15]-code or 19-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), 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(2167, 96, F2, 2, 74) (dual of [(96, 2), 25, 75]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2164, 94, F2, 2, 73) (dual of [(94, 2), 24, 74]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2163, 94, F2, 2, 72) (dual of [(94, 2), 25, 73]-NRT-code) | [i] | ||