Information on Result #2928815
Linear OOA(2257, 55, F2, 6, 164) (dual of [(55, 6), 73, 165]-NRT-code), using 21 times duplication based on linear OOA(2256, 55, F2, 6, 164) (dual of [(55, 6), 74, 165]-NRT-code), using
- strength reduction [i] based on linear OOA(2256, 55, F2, 6, 165) (dual of [(55, 6), 74, 166]-NRT-code), using
- construction X applied to AG(6;F,61P) ⊂ AG(6;F,71P) [i] based on
- linear OOA(2234, 48, F2, 6, 165) (dual of [(48, 6), 54, 166]-NRT-code), using algebraic-geometric NRT-code AG(6;F,61P) 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(2214, 48, F2, 6, 145) (dual of [(48, 6), 74, 146]-NRT-code), using algebraic-geometric NRT-code AG(6;F,71P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(222, 7, F2, 6, 19) (dual of [(7, 6), 20, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,22P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- construction X applied to AG(6;F,61P) ⊂ AG(6;F,71P) [i] based on
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.