MinT - Information on Result #820565

Information on Result #820565

Linear OOA(3²⁰⁶, 136, F₃, 2, 82) (dual of [(136, 2), 66, 83]-NRT-code), using OOA 2-folding based on linear OA(3²⁰⁶, 272, F₃, 82) (dual of [272, 66, 83]-code), using

strength reduction [i] based on linear OA(3²⁰⁶, 272, F₃, 83) (dual of [272, 66, 84]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27⁴⁶, 68, F₂₇, 41) (dual of [68, 22, 42]-code), using
    - extended algebraic-geometric code AG_e(F,26P) [i] based on function field F/F₂₇ with g(F) = 5 and N(F) ≥ 68, 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.