MinT - Information on Result #2621881

Information on Result #2621881

Linear OOA(3¹¹⁷, 41, F₃, 3, 89) (dual of [(41, 3), 6, 90]-NRT-code), using strength reduction based on linear OOA(3¹¹⁷, 41, F₃, 3, 91) (dual of [(41, 3), 6, 92]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁰, 12, F₃, 3, 26) (dual of [(12, 3), 6, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁸¹, 29, F₃, 3, 64) (dual of [(29, 3), 6, 65]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3²⁴, 10, F₃, 3, 21) (dual of [(10, 3), 6, 22]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,8P) [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(3⁵¹, 19, F₃, 3, 42) (dual of [(19, 3), 6, 43]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.