MinT - Information on Result #1151662

Information on Result #1151662

Linear OOA(2⁵⁰, 12, F₂, 7, 23) (dual of [(12, 7), 34, 24]-NRT-code), using OOA 2-folding based on linear OOA(2⁵⁰, 24, F₂, 4, 23) (dual of [(24, 4), 46, 24]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁸, 12, F₂, 4, 11) (dual of [(12, 4), 30, 12]-NRT-code), using
  - extracting embedded OOA [i] based on digital (7, 18, 12)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2³², 12, F₂, 4, 23) (dual of [(12, 4), 16, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,24P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, 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.