MinT - Information on Result #2775715

Information on Result #2775715

Linear OOA(3²²⁴, 58, F₃, 4, 178) (dual of [(58, 4), 8, 179]-NRT-code), using strength reduction based on linear OOA(3²²⁴, 58, F₃, 4, 181) (dual of [(58, 4), 8, 182]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³², 10, F₃, 4, 29) (dual of [(10, 4), 8, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸⁴, 48, F₃, 4, 151) (dual of [(48, 4), 8, 152]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁸⁸, 24, F₃, 4, 75) (dual of [(24, 4), 8, 76]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,20P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [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.