MinT - Information on Result #1131526

Information on Result #1131526

Linear OOA(2⁴¹, 11, F₂, 6, 18) (dual of [(11, 6), 25, 19]-NRT-code), using OOA 2-folding based on linear OOA(2⁴¹, 22, F₂, 3, 18) (dual of [(22, 3), 25, 19]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2¹⁵, 12, F₂, 3, 9) (dual of [(12, 3), 21, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (6, 15, 12)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2²⁶, 11, F₂, 3, 18) (dual of [(11, 3), 7, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₂ with g(F) = 8 and N(F) ≥ 11, 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.