Information on Result #2952183
Linear OOA(2216, 53, F2, 7, 127) (dual of [(53, 7), 155, 128]-NRT-code), using strength reduction based on linear OOA(2216, 53, F2, 7, 129) (dual of [(53, 7), 155, 130]-NRT-code), using
- construction X applied to AG(7;F,103P) ⊂ AG(7;F,112P) [i] based on
- linear OOA(2198, 48, F2, 7, 129) (dual of [(48, 7), 138, 130]-NRT-code), using algebraic-geometric NRT-code AG(7;F,103P) 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(2180, 48, F2, 7, 111) (dual of [(48, 7), 156, 112]-NRT-code), using algebraic-geometric NRT-code AG(7;F,112P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(218, 5, F2, 7, 17) (dual of [(5, 7), 17, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,17P) [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.