MinT - Information on Result #2800450

Information on Result #2800450

Linear OOA(3⁸³, 47, F₃, 4, 39) (dual of [(47, 4), 105, 40]-NRT-code), using 3¹ times duplication based on linear OOA(3⁸², 47, F₃, 4, 39) (dual of [(47, 4), 106, 40]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3²⁸, 19, F₃, 4, 19) (dual of [(19, 4), 48, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,56P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁵⁴, 28, F₃, 4, 39) (dual of [(28, 4), 58, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,72P) [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.