MinT - Information on Result #2770955

Information on Result #2770955

Linear OOA(3¹⁴⁵, 40, F₃, 4, 110) (dual of [(40, 4), 15, 111]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁵, 40, F₃, 4, 111) (dual of [(40, 4), 15, 112]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁹, 16, F₃, 4, 42) (dual of [(16, 4), 15, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,21P) [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(3⁸¹, 24, F₃, 4, 68) (dual of [(24, 4), 15, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,27P) [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.