MinT - Information on Result #959187

Information on Result #959187

Linear OOA(3²¹⁴, 97, F₃, 3, 83) (dual of [(97, 3), 77, 84]-NRT-code), using OOA 3-folding based on linear OA(3²¹⁴, 291, F₃, 83) (dual of [291, 77, 84]-code), using

discarding factors / shortening the dual code based on linear OA(3²¹⁴, 292, F₃, 83) (dual of [292, 78, 84]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27⁴⁷, 73, F₂₇, 41) (dual of [73, 26, 42]-code), using
    - discarding factors / shortening the dual code based on linear OA(27⁴⁷, 75, F₂₇, 41) (dual of [75, 28, 42]-code), using
      - algebraic-geometric code AG(F,33P) [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.