Information on Result #647587
Linear OA(2591, 226, F25, 53) (dual of [226, 135, 54]-code), using construction XX applied to AG(F,145P) ⊂ AG(F,158P) ⊂ AG(F,159P) based on
- linear OA(2578, 199, F25, 53) (dual of [199, 121, 54]-code), using algebraic-geometric code AG(F,145P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OA(2565, 199, F25, 40) (dual of [199, 134, 41]-code), using algebraic-geometric code AG(F,158P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OA(2564, 199, F25, 39) (dual of [199, 135, 40]-code), using algebraic-geometric code AG(F,159P) [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 OOA(2591, 113, F25, 2, 53) (dual of [(113, 2), 135, 54]-NRT-code) | [i] | OOA Folding | |