Information on Result #2909647
Linear OOA(2162, 54, F2, 6, 72) (dual of [(54, 6), 162, 73]-NRT-code), using strength reduction based on linear OOA(2162, 54, F2, 6, 74) (dual of [(54, 6), 162, 75]-NRT-code), using
- construction X applied to AG(6;F,106P) ⊂ AG(6;F,115P) [i] based on
- linear OOA(2144, 48, F2, 6, 75) (dual of [(48, 6), 144, 76]-NRT-code), using algebraic-geometric NRT-code AG(6;F,106P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- linear OOA(2126, 48, F2, 6, 57) (dual of [(48, 6), 162, 58]-NRT-code), using algebraic-geometric NRT-code AG(6;F,115P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(218, 6, F2, 6, 16) (dual of [(6, 6), 18, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,19P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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.