MinT - Information on Result #2611142

Information on Result #2611142

Linear OOA(2⁹⁸, 35, F₂, 3, 60) (dual of [(35, 3), 7, 61]-NRT-code), using strength reduction based on linear OOA(2⁹⁸, 35, F₂, 3, 61) (dual of [(35, 3), 7, 62]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁴, 7, F₂, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [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(2⁷⁷, 28, F₂, 3, 49) (dual of [(28, 3), 7, 50]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(2³⁵, 14, F₂, 3, 24) (dual of [(14, 3), 7, 25]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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.