Information on Result #1310407
Linear OA(527, 56, F5, 13) (dual of [56, 29, 14]-code), using 3 step Varšamov–Edel lengthening with (ri) = (1, 0, 0) based on linear OA(526, 52, F5, 13) (dual of [52, 26, 14]-code), using
- trace code [i] based on linear OA(2513, 26, F25, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,25)), using
- extended Reed–Solomon code RSe(13,25) [i]
- the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- algebraic-geometric code AG(F,6P) 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,4P) with degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.