MinT - Information on Result #2966912

Information on Result #2966912

Linear OOA(2²⁶⁰, 66, F₂, 7, 120) (dual of [(66, 7), 202, 121]-NRT-code), using 2² times duplication based on linear OOA(2²⁵⁸, 66, F₂, 7, 120) (dual of [(66, 7), 204, 121]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁹⁹, 33, F₂, 7, 60) (dual of [(33, 7), 132, 61]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,170P) [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(2¹⁵⁹, 33, F₂, 7, 120) (dual of [(33, 7), 72, 121]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,110P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)

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.