MinT - Information on Result #2684058

Information on Result #2684058

Linear OOA(3²³¹, 103, F₃, 3, 114) (dual of [(103, 3), 78, 115]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²²⁸, 102, F₃, 3, 114) (dual of [(102, 3), 78, 115]-NRT-code), using

strength reduction [i] based on linear OOA(3²²⁸, 102, F₃, 3, 115) (dual of [(102, 3), 78, 116]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁶³, 34, F₉, 3, 57) (dual of [(34, 3), 39, 58]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,44P) [i] based on function field F/F₉ with g(F) = 6 and N(F) ≥ 34, using
      - a function field by SÃ©mirat [i]
  2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [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.