Information on Result #642417
Linear OA(2572, 78, F25, 64) (dual of [78, 6, 65]-code), using juxtaposition 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(2546, 52, F25, 43) (dual of [52, 6, 44]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, 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(2572, 39, F25, 2, 64) (dual of [(39, 2), 6, 65]-NRT-code) | [i] | OOA Folding | |