MinT - Information on Result #2772855

Information on Result #2772855

Linear OOA(3¹⁸⁰, 51, F₃, 4, 128) (dual of [(51, 4), 24, 129]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁰, 51, F₃, 4, 129) (dual of [(51, 4), 24, 130]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁷², 24, F₃, 4, 59) (dual of [(24, 4), 24, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,36P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(3⁸⁴, 27, F₃, 4, 69) (dual of [(27, 4), 24, 70]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁸⁴, 28, F₃, 4, 69) (dual of [(28, 4), 28, 70]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,42P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [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.