MinT - Information on Result #957063

Information on Result #957063

Linear OOA(3¹⁴⁶, 66, F₃, 3, 59) (dual of [(66, 3), 52, 60]-NRT-code), using OOA 3-folding based on linear OA(3¹⁴⁶, 198, F₃, 59) (dual of [198, 52, 60]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁴⁶, 200, F₃, 59) (dual of [200, 54, 60]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27³², 50, F₂₇, 29) (dual of [50, 18, 30]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³², 52, F₂₇, 29) (dual of [52, 20, 30]-code), using
      - extended algebraic-geometric code AG_e(F,22P) [i] based on function field F/F₂₇ with g(F) = 3 and N(F) ≥ 52, 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.