MinT - Information on Result #2610984

Information on Result #2610984

Linear OOA(2⁹³, 33, F₂, 3, 58) (dual of [(33, 3), 6, 59]-NRT-code), using strength reduction based on linear OOA(2⁹³, 33, F₂, 3, 61) (dual of [(33, 3), 6, 62]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁷⁵, 27, F₂, 3, 50) (dual of [(27, 3), 6, 51]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2²¹, 9, F₂, 3, 16) (dual of [(9, 3), 6, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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.