MinT - Information on Result #1168649

Information on Result #1168649

Linear OOA(2¹³², 18, F₂, 8, 87) (dual of [(18, 8), 12, 88]-NRT-code), using OOA 2-folding based on linear OOA(2¹³², 36, F₂, 4, 87) (dual of [(36, 4), 12, 88]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁸, 15, F₂, 4, 35) (dual of [(15, 4), 12, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,24P) [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(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.