MinT - Information on Result #2627824

Information on Result #2627824

Linear OOA(3²²⁹, 81, F₃, 3, 157) (dual of [(81, 3), 14, 158]-NRT-code), using strength reduction based on linear OOA(3²²⁹, 81, F₃, 3, 161) (dual of [(81, 3), 14, 162]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁶⁸, 27, F₃, 3, 53) (dual of [(27, 3), 13, 54]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,27P) [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(3⁸⁰, 27, F₃, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using
  - dual of repetition NRT-code with length 27 [i]
3. linear OOA(3⁸¹, 27, F₃, 3, 81) (dual of [(27, 3), 0, 82]-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.