MinT - Information on Result #959057

Information on Result #959057

Linear OOA(3²¹⁴, 101, F₃, 3, 81) (dual of [(101, 3), 89, 82]-NRT-code), using OOA 3-folding based on linear OA(3²¹⁴, 303, F₃, 81) (dual of [303, 89, 82]-code), using

discarding factors / shortening the dual code based on linear OA(3²¹⁴, 304, F₃, 81) (dual of [304, 90, 82]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27⁴⁶, 76, F₂₇, 40) (dual of [76, 30, 41]-code), using
    - extended algebraic-geometric code AG_e(F,35P) [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, 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.