MinT - Information on Result #2621729

Information on Result #2621729

Linear OOA(3¹¹³, 42, F₃, 3, 78) (dual of [(42, 3), 13, 79]-NRT-code), using strength reduction based on linear OOA(3¹¹³, 42, F₃, 3, 80) (dual of [(42, 3), 13, 81]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁹, 14, F₃, 3, 23) (dual of [(14, 3), 13, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁷¹, 28, F₃, 3, 56) (dual of [(28, 3), 13, 57]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,27P) [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.