MinT - Information on Result #1164988

Information on Result #1164988

Linear OOA(2³⁵, 22, F₂, 8, 15) (dual of [(22, 8), 141, 16]-NRT-code), using OOA stacking with additional row based on linear OOA(2³⁵, 23, F₂, 7, 15) (dual of [(23, 7), 126, 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(2²⁴, 12, F₂, 7, 15) (dual of [(12, 7), 60, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,68P) [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.