MinT - Information on Result #2876310

Information on Result #2876310

Linear OOA(3⁷⁸, 44, F₃, 5, 37) (dual of [(44, 5), 142, 38]-NRT-code), using 3¹ times duplication based on linear OOA(3⁷⁷, 44, F₃, 5, 37) (dual of [(44, 5), 143, 38]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3²⁵, 16, F₃, 5, 18) (dual of [(16, 5), 55, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,61P) [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(3⁵², 28, F₃, 5, 37) (dual of [(28, 5), 88, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,102P) [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.