MinT - Information on Result #956903

Information on Result #956903

Linear OOA(3²⁰⁷, 151, F₃, 3, 57) (dual of [(151, 3), 246, 58]-NRT-code), using OOA 3-folding based on linear OA(3²⁰⁷, 453, F₃, 57) (dual of [453, 246, 58]-code), using

discarding factors / shortening the dual code based on linear OA(3²⁰⁷, 455, F₃, 57) (dual of [455, 248, 58]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81²⁹, 91, F₈₁, 28) (dual of [91, 62, 29]-code), using
    - discarding factors / shortening the dual code based on linear OA(81²⁹, 100, F₈₁, 28) (dual of [100, 71, 29]-code), using
      - extended algebraic-geometric code AG_e(F,71P) [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.