MinT - Information on Result #955410

Information on Result #955410

Linear OOA(3¹⁰⁴, 50, F₃, 3, 43) (dual of [(50, 3), 46, 44]-NRT-code), using OOA 3-folding based on linear OA(3¹⁰⁴, 150, F₃, 43) (dual of [150, 46, 44]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁰⁴, 152, F₃, 43) (dual of [152, 48, 44]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27²², 38, F₂₇, 21) (dual of [38, 16, 22]-code), using
    - extended algebraic-geometric code AG_e(F,16P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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.