Information on Result #2950824
Linear OOA(2199, 53, F2, 7, 110) (dual of [(53, 7), 172, 111]-NRT-code), using strength reduction based on linear OOA(2199, 53, F2, 7, 112) (dual of [(53, 7), 172, 113]-NRT-code), using
- construction X applied to AG(7;F,111P) ⊂ AG(7;F,120P) [i] based on
- linear OOA(2182, 48, F2, 7, 113) (dual of [(48, 7), 154, 114]-NRT-code), using algebraic-geometric NRT-code AG(7;F,111P) 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(2164, 48, F2, 7, 95) (dual of [(48, 7), 172, 96]-NRT-code), using algebraic-geometric NRT-code AG(7;F,120P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(217, 5, F2, 7, 16) (dual of [(5, 7), 18, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,18P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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.