Information on Result #2966981
Linear OOA(2259, 62, F2, 7, 134) (dual of [(62, 7), 175, 135]-NRT-code), using 21 times duplication based on linear OOA(2258, 62, F2, 7, 134) (dual of [(62, 7), 176, 135]-NRT-code), using
- strength reduction [i] based on linear OOA(2258, 62, F2, 7, 135) (dual of [(62, 7), 176, 136]-NRT-code), using
- construction X applied to AG(7;F,100P) ⊂ AG(7;F,122P) [i] based on
- linear OOA(2204, 48, F2, 7, 135) (dual of [(48, 7), 132, 136]-NRT-code), using algebraic-geometric NRT-code AG(7;F,100P) 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(2160, 48, F2, 7, 91) (dual of [(48, 7), 176, 92]-NRT-code), using algebraic-geometric NRT-code AG(7;F,122P) with degPÂ =Â 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
- linear OOA(254, 14, F2, 7, 43) (dual of [(14, 7), 44, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,54P) [i] based on function field F/F2 with g(F) = 11 and N(F) ≥ 14, using
- construction X applied to AG(7;F,100P) ⊂ AG(7;F,122P) [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.