MinT - Information on Result #2621140

Information on Result #2621140

Linear OOA(3⁹¹, 33, F₃, 3, 67) (dual of [(33, 3), 8, 68]-NRT-code), using strength reduction based on linear OOA(3⁹¹, 33, F₃, 3, 68) (dual of [(33, 3), 8, 69]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁹, 9, F₃, 3, 16) (dual of [(9, 3), 8, 17]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁹, 10, F₃, 3, 16) (dual of [(10, 3), 11, 17]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁶⁴, 24, F₃, 3, 51) (dual of [(24, 3), 8, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,20P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [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.