Information on Result #628080
Linear OA(520, 52, F5, 10) (dual of [52, 32, 11]-code), using trace code based on linear OA(2510, 26, F25, 10) (dual of [26, 16, 11]-code or 26-arc in PG(9,25)), using
- extended Reed–Solomon code RSe(16,25) [i]
- algebraic-geometric code AG(F, Q+6P) 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,5P) with degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
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(5131, 677, F5, 35) (dual of [677, 546, 36]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 2 | Linear OA(5127, 677, F5, 34) (dual of [677, 550, 35]-code) | [i] | ||
| 3 | Linear OA(5123, 677, F5, 33) (dual of [677, 554, 34]-code) | [i] | ||
| 4 | Linear OA(5119, 677, F5, 32) (dual of [677, 558, 33]-code) | [i] | ||
| 5 | Linear OOA(520, 26, F5, 2, 10) (dual of [(26, 2), 32, 11]-NRT-code) | [i] | OOA Folding | |