MinT - Information on Result #819799

Information on Result #819799

Linear OOA(3²³⁶, 222, F₃, 2, 72) (dual of [(222, 2), 208, 73]-NRT-code), using OOA 2-folding based on linear OA(3²³⁶, 444, F₃, 72) (dual of [444, 208, 73]-code), using

1 times truncation [i] based on linear OA(3²³⁷, 445, F₃, 73) (dual of [445, 208, 74]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81³⁷, 89, F₈₁, 36) (dual of [89, 52, 37]-code), using
    - discarding factors / shortening the dual code based on linear OA(81³⁷, 100, F₈₁, 36) (dual of [100, 63, 37]-code), using
      - extended algebraic-geometric code AG_e(F,63P) [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
        a function field by SÃ©mirat [i]
  2. linear OA(3¹, 5, F₃, 1) (dual of [5, 4, 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.