MinT - Information on Result #2759723

Information on Result #2759723

Linear OOA(2¹¹⁴, 31, F₂, 4, 77) (dual of [(31, 4), 10, 78]-NRT-code), using strength reduction based on linear OOA(2¹¹⁴, 31, F₂, 4, 78) (dual of [(31, 4), 10, 79]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁰, 10, F₂, 4, 24) (dual of [(10, 4), 10, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(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.