MinT - Information on Result #2806143

Information on Result #2806143

Linear OOA(3²⁴⁷, 85, F₃, 4, 121) (dual of [(85, 4), 93, 122]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁴⁶, 85, F₃, 4, 121) (dual of [(85, 4), 94, 122]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3²⁴², 84, F₃, 4, 121) (dual of [(84, 4), 94, 122]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵⁵, 28, F₃, 4, 40) (dual of [(28, 4), 57, 41]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,71P) [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(3⁷⁵, 28, F₃, 4, 60) (dual of [(28, 4), 37, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,51P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(3¹¹², 28, F₃, 4, 112) (dual of [(28, 4), 0, 113]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [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.