MinT - Information on Result #2764113

Information on Result #2764113

Linear OOA(2¹⁹⁷, 54, F₂, 4, 117) (dual of [(54, 4), 19, 118]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁷, 54, F₂, 4, 119) (dual of [(54, 4), 19, 120]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁵, 21, F₂, 4, 44) (dual of [(21, 4), 19, 45]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,39P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹³, 33, F₂, 4, 74) (dual of [(33, 4), 19, 75]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,57P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, 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.