MinT - Information on Result #1165121

Information on Result #1165121

Linear OOA(2³³, 9, F₂, 8, 16) (dual of [(9, 8), 39, 17]-NRT-code), using OOA 2-folding based on linear OOA(2³³, 18, F₂, 4, 16) (dual of [(18, 4), 39, 17]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹², 9, F₂, 4, 8) (dual of [(9, 4), 24, 9]-NRT-code), using
  - extracting embedded OOA [i] based on digital (4, 12, 9)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2²¹, 9, F₂, 4, 16) (dual of [(9, 4), 15, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,19P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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.