MinT - Information on Result #2993010

Information on Result #2993010

Linear OOA(2²⁵⁸, 66, F₂, 8, 118) (dual of [(66, 8), 270, 119]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 66, F₂, 8, 120) (dual of [(66, 8), 270, 121]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁹⁹, 33, F₂, 8, 60) (dual of [(33, 8), 165, 61]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,203P) [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, 8, 120) (dual of [(33, 8), 105, 121]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,143P) [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.