MinT - Information on Result #2766376

Information on Result #2766376

Linear OOA(2²³¹, 61, F₂, 4, 144) (dual of [(61, 4), 13, 145]-NRT-code), using strength reduction based on linear OOA(2²³¹, 61, F₂, 4, 148) (dual of [(61, 4), 13, 149]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁷, 20, F₂, 4, 48) (dual of [(20, 4), 13, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,31P) [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(2¹⁵¹, 41, F₂, 4, 99) (dual of [(41, 4), 13, 100]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁶⁷, 20, F₂, 4, 48) (dual of [(20, 4), 13, 49]-NRT-code) (see above)
    2. linear OOA(2⁷¹, 21, F₂, 4, 50) (dual of [(21, 4), 13, 51]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,33P) [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.