MinT - Information on Result #2908385

Information on Result #2908385

Linear OOA(2¹⁴⁰, 25, F₂, 6, 106) (dual of [(25, 6), 10, 107]-NRT-code), using strength reduction based on linear OOA(2¹⁴⁰, 25, F₂, 6, 112) (dual of [(25, 6), 10, 113]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁰, 10, F₂, 6, 44) (dual of [(10, 6), 10, 45]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁸⁰, 15, F₂, 6, 67) (dual of [(15, 6), 10, 68]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;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]

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.