MinT - Information on Result #959438

Information on Result #959438

Linear OOA(3²²⁹, 105, F₃, 3, 87) (dual of [(105, 3), 86, 88]-NRT-code), using OOA 3-folding based on linear OA(3²²⁹, 315, F₃, 87) (dual of [315, 86, 88]-code), using

discarding factors / shortening the dual code based on linear OA(3²²⁹, 316, F₃, 87) (dual of [316, 87, 88]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27⁵⁰, 79, F₂₇, 43) (dual of [79, 29, 44]-code), using
    - discarding factors / shortening the dual code based on linear OA(27⁵⁰, 81, F₂₇, 43) (dual of [81, 31, 44]-code), using
      - algebraic-geometric code AG(F,37P) [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, 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.