MinT - Information on Result #1180862

Information on Result #1180862

Digital (19, 34, 21)-net over F₂, using net defined by OOA based on linear OOA(2³⁴, 21, F₂, 21, 15) (dual of [(21, 21), 407, 16]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(2³⁴, 22, F₂, 7, 15) (dual of [(22, 7), 120, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹¹, 11, F₂, 7, 7) (dual of [(11, 7), 66, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(2¹¹, 11, F₂, 6, 7) (dual of [(11, 6), 55, 8]-NRT-code), using
      - extracting embedded OOA [i] based on digital (4, 11, 11)-net over F₂, using
        a shift-net [i]
  2. linear OOA(2²³, 11, F₂, 7, 15) (dual of [(11, 7), 54, 16]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,61P) [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, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.