MinT - Information on Result #1106104

Information on Result #1106104

Linear OOA(3²⁴⁹, 58, F₃, 5, 117) (dual of [(58, 5), 41, 118]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴⁹, 116, F₃, 3, 117) (dual of [(116, 3), 99, 118]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁴⁹, 117, F₃, 3, 117) (dual of [(117, 3), 102, 118]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁶⁶, 39, F₉, 3, 58) (dual of [(39, 3), 51, 59]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,58P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, 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.