MinT - Information on Result #2760607

Information on Result #2760607

Linear OOA(2¹³³, 36, F₂, 4, 87) (dual of [(36, 4), 11, 88]-NRT-code), using strength reduction based on linear OOA(2¹³³, 36, F₂, 4, 89) (dual of [(36, 4), 11, 90]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴⁹, 15, F₂, 4, 36) (dual of [(15, 4), 11, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [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(2⁷³, 21, F₂, 4, 52) (dual of [(21, 4), 11, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,31P) [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.