MinT - Information on Result #2806118

Information on Result #2806118

Linear OOA(3²⁴⁸, 86, F₃, 4, 118) (dual of [(86, 4), 96, 119]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁴⁷, 86, F₃, 4, 118) (dual of [(86, 4), 97, 119]-NRT-code), using

strength reduction [i] based on linear OOA(3²⁴⁷, 86, F₃, 4, 119) (dual of [(86, 4), 97, 120]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵⁴, 28, F₃, 4, 39) (dual of [(28, 4), 58, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,72P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3⁷⁴, 28, F₃, 4, 59) (dual of [(28, 4), 38, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,52P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(3¹¹⁹, 30, F₃, 4, 119) (dual of [(30, 4), 1, 120]-NRT-code), using
    - dual of repetition NRT-code with length 30 [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.