Information on Result #657966
Linear OA(25666, 260, F256, 65) (dual of [260, 194, 66]-code), using construction X applied to AG(F, Q+94P) ⊂ AG(F, Q+95P) based on
- linear OA(25665, 257, F256, 65) (dual of [257, 192, 66]-code or 257-arc in PG(64,256)), using algebraic-geometric code AG(F, Q+94P) with degQ = 3 and 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]
- linear OA(25663, 257, F256, 63) (dual of [257, 194, 64]-code or 257-arc in PG(62,256)), using algebraic-geometric code AG(F, Q+95P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- linear OA(2561, 3, F256, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and 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.