MinT - Information on Result #1095236

Information on Result #1095236

Linear OOA(2²⁷, 9, F₂, 5, 13) (dual of [(9, 5), 18, 14]-NRT-code), using OOA 2-folding based on linear OOA(2²⁷, 18, F₂, 3, 13) (dual of [(18, 3), 27, 14]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁹, 9, F₂, 3, 6) (dual of [(9, 3), 18, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
    - a shift-net [i]
2. linear OOA(2¹⁸, 9, F₂, 3, 13) (dual of [(9, 3), 9, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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.