MinT - Information on Result #2621192

Information on Result #2621192

Linear OOA(3⁹³, 34, F₃, 3, 68) (dual of [(34, 3), 9, 69]-NRT-code), using strength reduction based on linear OOA(3⁹³, 34, F₃, 3, 69) (dual of [(34, 3), 9, 70]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²¹, 10, F₃, 3, 18) (dual of [(10, 3), 9, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(3⁶³, 24, F₃, 3, 50) (dual of [(24, 3), 9, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [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.