Information on Result #1301236
Linear OA(525, 54, F5, 12) (dual of [54, 29, 13]-code), using construction X with Varšamov bound based on
- linear OA(524, 52, F5, 12) (dual of [52, 28, 13]-code), using
- trace code [i] based on 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)
- trace code [i] based on linear OA(2512, 26, F25, 12) (dual of [26, 14, 13]-code or 26-arc in PG(11,25)), using
- linear OA(524, 53, F5, 11) (dual of [53, 29, 12]-code), using Gilbert–Varšamov bound and bm = 524 > Vbs−1(k−1) = 17604 541645 172145 [i]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.