Information on Result #1313959
Linear OA(1679, 687, F16, 34) (dual of [687, 608, 35]-code), using 162 step Varšamov–Edel lengthening with (ri) = (4, 1, 0, 1, 4 times 0, 1, 9 times 0, 1, 18 times 0, 1, 29 times 0, 1, 42 times 0, 1, 51 times 0) based on linear OA(1668, 514, F16, 34) (dual of [514, 446, 35]-code), using
- trace code [i] based on linear OA(25634, 257, F256, 34) (dual of [257, 223, 35]-code or 257-arc in PG(33,256)), using
- extended Reed–Solomon code RSe(223,256) [i]
- algebraic-geometric code AG(F,111P) with degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- algebraic-geometric code AG(F,74P) with degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+44P) with degQ = 2 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (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.
Other Results with Identical Parameters
None.
Depending Results
None.