MinT - Information on Result #1168806

Information on Result #1168806

Linear OOA(2¹⁴⁰, 19, F₂, 8, 92) (dual of [(19, 8), 12, 93]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁴⁰, 38, F₂, 4, 92) (dual of [(38, 4), 12, 93]-NRT-code), using

strength reduction [i] based on linear OOA(2¹⁴⁰, 38, F₂, 4, 93) (dual of [(38, 4), 12, 94]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁵⁶, 17, F₂, 4, 41) (dual of [(17, 4), 12, 42]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,26P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁷², 21, F₂, 4, 51) (dual of [(21, 4), 12, 52]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,32P) [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.