MinT - Information on Result #1166012

Information on Result #1166012

Linear OOA(2⁵³, 12, F₂, 8, 24) (dual of [(12, 8), 43, 25]-NRT-code), using OOA 2-folding based on linear OOA(2⁵³, 24, F₂, 4, 24) (dual of [(24, 4), 43, 25]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²⁰, 13, F₂, 4, 12) (dual of [(13, 4), 32, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 20, 13)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2³³, 12, F₂, 4, 24) (dual of [(12, 4), 15, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [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.