MinT - Information on Result #2841906

Information on Result #2841906

Linear OOA(2¹⁶⁵, 36, F₂, 5, 115) (dual of [(36, 5), 15, 116]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁵, 36, F₂, 5, 117) (dual of [(36, 5), 15, 118]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁰, 15, F₂, 5, 47) (dual of [(15, 5), 15, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,27P) [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(2⁹⁰, 21, F₂, 5, 69) (dual of [(21, 5), 15, 70]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,35P) [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.