MinT - Information on Result #2842513

Information on Result #2842513

Linear OOA(2¹⁷⁶, 37, F₂, 5, 129) (dual of [(37, 5), 9, 130]-NRT-code), using strength reduction based on linear OOA(2¹⁷⁶, 37, F₂, 5, 133) (dual of [(37, 5), 9, 134]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 9, F₂, 5, 31) (dual of [(9, 5), 9, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹³¹, 28, F₂, 5, 101) (dual of [(28, 5), 9, 102]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁶¹, 14, F₂, 5, 50) (dual of [(14, 5), 9, 51]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,19P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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.