MinT - Information on Result #2762325

Information on Result #2762325

Linear OOA(2¹⁶⁶, 43, F₂, 4, 121) (dual of [(43, 4), 6, 122]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁶, 43, F₂, 4, 123) (dual of [(43, 4), 6, 124]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²², 7, F₂, 4, 19) (dual of [(7, 4), 6, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹³⁸, 36, F₂, 4, 103) (dual of [(36, 4), 6, 104]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2³⁰, 9, F₂, 4, 25) (dual of [(9, 4), 6, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;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.