Information on Result #638039
Linear OA(592, 104, F5, 62) (dual of [104, 12, 63]-code), using concatenation of two codes based on
- linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), using
- extended Reed–Solomon code RSe(6,25) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- algebraic-geometric code AG(F, Q+1P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(592, 104, F5, 61) (dual of [104, 12, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(592, 104, F5, 60) (dual of [104, 12, 61]-code) | [i] | ||
| 3 | Linear OOA(592, 52, F5, 2, 62) (dual of [(52, 2), 12, 63]-NRT-code) | [i] | OOA Folding | |