MinT - Information on Result #1168741

Information on Result #1168741

Linear OOA(2¹³⁴, 18, F₂, 8, 90) (dual of [(18, 8), 10, 91]-NRT-code), using OOA 2-folding based on linear OOA(2¹³⁴, 36, F₂, 4, 90) (dual of [(36, 4), 10, 91]-NRT-code), using

strength reduction [i] based on linear OOA(2¹³⁴, 36, F₂, 4, 91) (dual of [(36, 4), 10, 92]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁵⁰, 15, F₂, 4, 37) (dual of [(15, 4), 10, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,22P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁷⁴, 21, F₂, 4, 53) (dual of [(21, 4), 10, 54]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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.