Information on Result #2649886
Linear OOA(8172, 378, F81, 3, 42) (dual of [(378, 3), 1062, 43]-NRT-code), using strength reduction based on linear OOA(8172, 378, F81, 3, 43) (dual of [(378, 3), 1062, 44]-NRT-code), using
- construction X applied to AG(3;F,1063P) ⊂ AG(3;F,1077P) [i] based on
- linear OOA(8159, 369, F81, 3, 43) (dual of [(369, 3), 1048, 44]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1063P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8145, 369, F81, 3, 29) (dual of [(369, 3), 1062, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1077P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8113, 9, F81, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8113, 81, F81, 3, 13) (dual of [(81, 3), 230, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;230,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8113, 81, F81, 3, 13) (dual of [(81, 3), 230, 14]-NRT-code), 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.