MinT - Information on Result #2625571

Information on Result #2625571

Linear OOA(3¹⁹³, 66, F₃, 3, 151) (dual of [(66, 3), 5, 152]-NRT-code), using strength reduction based on linear OOA(3¹⁹³, 66, F₃, 3, 152) (dual of [(66, 3), 5, 153]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹³, 6, F₃, 3, 12) (dual of [(6, 3), 5, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹³, 7, F₃, 3, 12) (dual of [(7, 3), 8, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁷⁵, 60, F₃, 3, 139) (dual of [(60, 3), 5, 140]-NRT-code), using
  - repeating each code word 5 times [i] based on linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.