Information on Result #1028918
Linear OOA(2125, 45, F2, 3, 79) (dual of [(45, 3), 10, 80]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(327, 9, F32, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;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(2125, 45, F2, 3, 78) (dual of [(45, 3), 10, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2125, 45, F2, 3, 77) (dual of [(45, 3), 10, 78]-NRT-code) | [i] | ||
| 3 | Linear OOA(2125, 45, F2, 3, 76) (dual of [(45, 3), 10, 77]-NRT-code) | [i] | ||
| 4 | Linear OOA(2125, 45, F2, 3, 75) (dual of [(45, 3), 10, 76]-NRT-code) | [i] | ||
| 5 | Linear OOA(2124, 44, F2, 3, 78) (dual of [(44, 3), 8, 79]-NRT-code) | [i] | Truncation for OOAs | |