Information on Result #1147156
Linear OOA(2231, 57, F2, 6, 122) (dual of [(57, 6), 111, 123]-NRT-code), using construction X applied to AG(6;F,123P) ⊂ AG(6;F,164P) based on
- linear OOA(2176, 41, F2, 6, 122) (dual of [(41, 6), 70, 123]-NRT-code), using algebraic-geometric NRT-code AG(6;F,123P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2135, 41, F2, 6, 81) (dual of [(41, 6), 111, 82]-NRT-code), using algebraic-geometric NRT-code AG(6;F,164P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(255, 16, F2, 6, 40) (dual of [(16, 6), 41, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(255, 17, F2, 6, 40) (dual of [(17, 6), 47, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,61P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(255, 17, F2, 6, 40) (dual of [(17, 6), 47, 41]-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.