Information on Result #1313864
Linear OA(1666, 656, F16, 28) (dual of [656, 590, 29]-code), using 132 step Varšamov–Edel lengthening with (ri) = (4, 1, 0, 0, 1, 4 times 0, 1, 11 times 0, 1, 21 times 0, 1, 35 times 0, 1, 52 times 0) based on linear OA(1656, 514, F16, 28) (dual of [514, 458, 29]-code), using
- trace code [i] based on linear OA(25628, 257, F256, 28) (dual of [257, 229, 29]-code or 257-arc in PG(27,256)), using
- extended Reed–Solomon code RSe(229,256) [i]
- algebraic-geometric code AG(F,114P) 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,76P) 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+45P) with degQ = 3 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.