MinT - Information on Result #2764155

Information on Result #2764155

Linear OOA(2¹⁹⁸, 51, F₂, 4, 142) (dual of [(51, 4), 6, 143]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁸, 51, F₂, 4, 146) (dual of [(51, 4), 6, 147]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁸, 6, F₂, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(2¹⁷⁴, 45, F₂, 4, 129) (dual of [(45, 4), 6, 130]-NRT-code), using
  - repeating each code word 5 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.