MinT - Information on Result #2621730

Information on Result #2621730

Linear OOA(3¹¹³, 43, F₃, 3, 75) (dual of [(43, 3), 16, 76]-NRT-code), using strength reduction based on linear OOA(3¹¹³, 43, F₃, 3, 76) (dual of [(43, 3), 16, 77]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³², 16, F₃, 3, 25) (dual of [(16, 3), 16, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁶⁵, 27, F₃, 3, 50) (dual of [(27, 3), 16, 51]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,30P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.