MinT - Information on Result #2966033

Information on Result #2966033

Linear OOA(2²¹², 75, F₂, 7, 79) (dual of [(75, 7), 313, 80]-NRT-code), using 2¹ times duplication based on linear OOA(2²¹¹, 75, F₂, 7, 79) (dual of [(75, 7), 314, 80]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁷⁸, 33, F₂, 7, 39) (dual of [(33, 7), 153, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,191P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹³³, 42, F₂, 7, 79) (dual of [(42, 7), 161, 80]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,214P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [i]

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.