MinT - Information on Result #2769155

Information on Result #2769155

Linear OOA(3⁸³, 44, F₃, 4, 40) (dual of [(44, 4), 93, 41]-NRT-code), using strength reduction based on linear OOA(3⁸³, 44, F₃, 4, 41) (dual of [(44, 4), 93, 42]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3²⁷, 16, F₃, 4, 20) (dual of [(16, 4), 37, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,43P) [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(3⁵⁶, 28, F₃, 4, 41) (dual of [(28, 4), 56, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,70P) [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.