MinT - Information on Result #2850711

Information on Result #2850711

Linear OOA(3¹¹⁰, 52, F₃, 5, 54) (dual of [(52, 5), 150, 55]-NRT-code), using strength reduction based on linear OOA(3¹¹⁰, 52, F₃, 5, 55) (dual of [(52, 5), 150, 56]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴⁰, 24, F₃, 5, 27) (dual of [(24, 5), 80, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,92P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(3⁷⁰, 28, F₃, 5, 55) (dual of [(28, 5), 70, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,84P) [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.