MinT - Information on Result #2950641

Information on Result #2950641

Linear OOA(2¹⁹⁶, 75, F₂, 7, 67) (dual of [(75, 7), 329, 68]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁶, 75, F₂, 7, 69) (dual of [(75, 7), 329, 70]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁷³, 33, F₂, 7, 34) (dual of [(33, 7), 158, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,196P) [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(2¹²³, 42, F₂, 7, 69) (dual of [(42, 7), 171, 70]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,224P) [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.