Information on Result #1162321
Linear OOA(2251, 60, F2, 7, 121) (dual of [(60, 7), 169, 122]-NRT-code), using construction X applied to AG(7;F,165P) ⊂ AG(7;F,223P) based on
- linear OOA(2175, 41, F2, 7, 121) (dual of [(41, 7), 112, 122]-NRT-code), using algebraic-geometric NRT-code AG(7;F,165P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
- linear OOA(2117, 41, F2, 7, 63) (dual of [(41, 7), 170, 64]-NRT-code), using algebraic-geometric NRT-code AG(7;F,223P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
- linear OOA(276, 19, F2, 7, 57) (dual of [(19, 7), 57, 58]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(276, 20, F2, 7, 57) (dual of [(20, 7), 64, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,82P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(276, 20, F2, 7, 57) (dual of [(20, 7), 64, 58]-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.