Information on Result #1453142
Linear OOA(1637, 1018, F16, 2, 14) (dual of [(1018, 2), 1999, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1637, 1018, F16, 14) (dual of [1018, 981, 15]-code), using
- 495 step Varšamov–Edel lengthening with (ri) = (3, 0, 0, 1, 6 times 0, 1, 19 times 0, 1, 45 times 0, 1, 88 times 0, 1, 140 times 0, 1, 188 times 0) [i] based on linear OA(1628, 514, F16, 14) (dual of [514, 486, 15]-code), using
- trace code [i] based on linear OA(25614, 257, F256, 14) (dual of [257, 243, 15]-code or 257-arc in PG(13,256)), using
- extended Reed–Solomon code RSe(243,256) [i]
- algebraic-geometric code AG(F,121P) 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, Q+80P) with degQ = 2 and 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+48P) with degQ = 2 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- trace code [i] based on linear OA(25614, 257, F256, 14) (dual of [257, 243, 15]-code or 257-arc in PG(13,256)), 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
None.