MinT - Information on Result #2764168

Information on Result #2764168

Linear OOA(2¹⁹⁸, 53, F₂, 4, 122) (dual of [(53, 4), 14, 123]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁸, 53, F₂, 4, 127) (dual of [(53, 4), 14, 128]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁶, 20, F₂, 4, 47) (dual of [(20, 4), 14, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,32P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹¹⁸, 33, F₂, 4, 79) (dual of [(33, 4), 14, 80]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,52P) [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.