MinT - Information on Result #2680083

Information on Result #2680083

Linear OOA(3¹⁰², 52, F₃, 3, 49) (dual of [(52, 3), 54, 50]-NRT-code), using 3¹ times duplication based on linear OOA(3¹⁰¹, 52, F₃, 3, 49) (dual of [(52, 3), 55, 50]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3³⁷, 24, F₃, 3, 24) (dual of [(24, 3), 35, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,47P) [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(3⁶⁴, 28, F₃, 3, 49) (dual of [(28, 3), 20, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,34P) [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.