Information on Result #1475499
Linear OOA(25663, 524, F256, 2, 43) (dual of [(524, 2), 985, 44]-NRT-code), using construction X applied to AG(2;F,980P) ⊂ AG(2;F,993P) based on
- linear OOA(25651, 512, F256, 2, 43) (dual of [(512, 2), 973, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,980P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- linear OOA(25638, 512, F256, 2, 30) (dual of [(512, 2), 986, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,993P) [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513 (see above)
- linear OOA(25612, 12, F256, 2, 12) (dual of [(12, 2), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25612, 256, F256, 2, 12) (dual of [(256, 2), 500, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(2;500,256) [i]
- discarding factors / shortening the dual code based on linear OOA(25612, 256, F256, 2, 12) (dual of [(256, 2), 500, 13]-NRT-code), 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.