MinT - Information on Result #2990032

Information on Result #2990032

Linear OOA(2²²⁶, 29, F₂, 8, 196) (dual of [(29, 8), 6, 197]-NRT-code), using strength reduction based on linear OOA(2²²⁶, 29, F₂, 8, 199) (dual of [(29, 8), 6, 200]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁶⁶, 9, F₂, 8, 61) (dual of [(9, 8), 6, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;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]
2. linear OOA(2¹⁵⁴, 20, F₂, 8, 137) (dual of [(20, 8), 6, 138]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2⁷⁴, 10, F₂, 8, 68) (dual of [(10, 8), 6, 69]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.