MinT - Information on Result #2647704

Information on Result #2647704

Linear OOA(9¹²⁹, 45, F₉, 3, 117) (dual of [(45, 3), 6, 118]-NRT-code), using strength reduction based on linear OOA(9¹²⁹, 45, F₉, 3, 119) (dual of [(45, 3), 6, 120]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(9³⁹, 15, F₉, 3, 38) (dual of [(15, 3), 6, 39]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9³⁹, 16, F₉, 3, 38) (dual of [(16, 3), 9, 39]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
2. linear OOA(9⁸⁴, 30, F₉, 3, 80) (dual of [(30, 3), 6, 81]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₉ with g(F) = 4 and N(F) ≥ 30, 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.