Information on Result #2951280
Linear OOA(2205, 53, F2, 7, 116) (dual of [(53, 7), 166, 117]-NRT-code), using strength reduction based on linear OOA(2205, 53, F2, 7, 118) (dual of [(53, 7), 166, 119]-NRT-code), using
- construction X applied to AG(7;F,108P) ⊂ AG(7;F,117P) [i] based on
- linear OOA(2188, 48, F2, 7, 119) (dual of [(48, 7), 148, 120]-NRT-code), using algebraic-geometric NRT-code AG(7;F,108P) 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(2170, 48, F2, 7, 101) (dual of [(48, 7), 166, 102]-NRT-code), using algebraic-geometric NRT-code AG(7;F,117P) 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.