MinT - Information on Result #2842025

Information on Result #2842025

Linear OOA(2¹⁶⁸, 36, F₂, 5, 122) (dual of [(36, 5), 12, 123]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁸, 36, F₂, 5, 123) (dual of [(36, 5), 12, 124]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶³, 15, F₂, 5, 50) (dual of [(15, 5), 12, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,24P) [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(2⁹³, 21, F₂, 5, 72) (dual of [(21, 5), 12, 73]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,32P) [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.