Information on Result #1288688
Linear OA(2559, 62, F25, 56) (dual of [62, 3, 57]-code), using juxtaposition based on
- linear OA(2523, 26, F25, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,25)), using
- extended Reed–Solomon code RSe(3,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- algebraic-geometric code AG(F,1P) with 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+0P) 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(2533, 36, F25, 32) (dual of [36, 3, 33]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F25 with g(F) = 1 and N(F) ≥ 36, using
Mode: 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(2585, 88, F25, 80) (dual of [88, 3, 81]-code) | [i] | Juxtaposition | |