MinT - Information on Result #1170219

Information on Result #1170219

Linear OOA(2²¹⁰, 27, F₂, 8, 160) (dual of [(27, 8), 6, 161]-NRT-code), using OOA 2-folding based on linear OOA(2²¹⁰, 54, F₂, 4, 160) (dual of [(54, 4), 6, 161]-NRT-code), using

strength reduction [i] based on linear OOA(2²¹⁰, 54, F₂, 4, 161) (dual of [(54, 4), 6, 162]-NRT-code), using
- juxtaposition [i] based on
  1. 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]
  2. linear OOA(2¹⁷⁴, 45, F₂, 4, 135) (dual of [(45, 4), 6, 136]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(8⁷, 9, F₈, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
        extended Reedâ€“Solomon code RS_e(2,8) [i]
        Simplex code S(2,8) [i]
      2. linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.