Information on Result #919905
Linear OOA(571, 57, F5, 2, 42) (dual of [(57, 2), 43, 43]-NRT-code), using construction X applied to AG(2;F,57P) ⊂ AG(2;F,64P) based on
- linear OOA(564, 50, F5, 2, 42) (dual of [(50, 2), 36, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,57P) [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
- linear OOA(557, 50, F5, 2, 35) (dual of [(50, 2), 43, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,64P) [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51 (see above)
- linear OOA(57, 7, F5, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(57, 10, F5, 2, 6) (dual of [(10, 2), 13, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- discarding factors / shortening the dual code based on linear OOA(57, 10, F5, 2, 6) (dual of [(10, 2), 13, 7]-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.