Information on Result #647575
Linear OA(25103, 226, F25, 65) (dual of [226, 123, 66]-code), using construction XX applied to AG(F,133P) ⊂ AG(F,146P) ⊂ AG(F,147P) based on
- linear OA(2590, 199, F25, 65) (dual of [199, 109, 66]-code), using algebraic-geometric code AG(F,133P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2577, 199, F25, 52) (dual of [199, 122, 53]-code), using algebraic-geometric code AG(F,146P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(2576, 199, F25, 51) (dual of [199, 123, 52]-code), using algebraic-geometric code AG(F,147P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(2512, 26, F25, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,25)), using
- extended Reed–Solomon code RSe(14,25) [i]
- algebraic-geometric code AG(F, Q+5P) 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+3P) with degQ = 4 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(250, 1, F25, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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 OA(25104, 228, F25, 65) (dual of [228, 124, 66]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(25103, 113, F25, 2, 65) (dual of [(113, 2), 123, 66]-NRT-code) | [i] | OOA Folding | |