MinT - Information on Result #2775161

Information on Result #2775161

Linear OOA(3²¹⁷, 58, F₃, 4, 166) (dual of [(58, 4), 15, 167]-NRT-code), using strength reduction based on linear OOA(3²¹⁷, 58, F₃, 4, 167) (dual of [(58, 4), 15, 168]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁸⁹, 26, F₃, 4, 74) (dual of [(26, 4), 15, 75]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁸⁹, 27, F₃, 4, 74) (dual of [(27, 4), 19, 75]-NRT-code), using
    - algebraic-geometric NRT-code AG(4;F,33P) [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(3¹¹³, 32, F₃, 4, 92) (dual of [(32, 4), 15, 93]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,35P) [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.