MinT - Information on Result #2775309

Information on Result #2775309

Linear OOA(3²¹⁹, 59, F₃, 4, 166) (dual of [(59, 4), 17, 167]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 59, F₃, 4, 167) (dual of [(59, 4), 17, 168]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹¹, 27, F₃, 4, 76) (dual of [(27, 4), 17, 77]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,31P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹¹, 32, F₃, 4, 90) (dual of [(32, 4), 17, 91]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,37P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.