MinT - Information on Result #2627334

Information on Result #2627334

Linear OOA(3²²¹, 78, F₃, 3, 154) (dual of [(78, 3), 13, 155]-NRT-code), using strength reduction based on linear OOA(3²²¹, 78, F₃, 3, 155) (dual of [(78, 3), 13, 156]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁶⁶, 26, F₃, 3, 51) (dual of [(26, 3), 12, 52]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶⁶, 27, F₃, 3, 51) (dual of [(27, 3), 15, 52]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,29P) [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(3⁷⁷, 26, F₃, 3, 77) (dual of [(26, 3), 1, 78]-NRT-code), using
  - dual of repetition NRT-code with length 26 [i]
3. linear OOA(3⁷⁸, 26, F₃, 3, 78) (dual of [(26, 3), 0, 79]-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.