MinT - Information on Result #1168466

Information on Result #1168466

Linear OOA(2¹¹⁸, 16, F₂, 8, 81) (dual of [(16, 8), 10, 82]-NRT-code), using OOA 2-folding based on linear OOA(2¹¹⁸, 32, F₂, 4, 81) (dual of [(32, 4), 10, 82]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁸, 12, F₂, 4, 29) (dual of [(12, 4), 10, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷⁰, 20, F₂, 4, 51) (dual of [(20, 4), 10, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.