MinT - Information on Result #820815

Information on Result #820815

Linear OOA(3²⁰⁵, 128, F₃, 2, 86) (dual of [(128, 2), 51, 87]-NRT-code), using OOA 2-folding based on linear OA(3²⁰⁵, 256, F₃, 86) (dual of [256, 51, 87]-code), using

strength reduction [i] based on linear OA(3²⁰⁵, 256, F₃, 87) (dual of [256, 51, 88]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27⁴⁷, 64, F₂₇, 43) (dual of [64, 17, 44]-code), using
    - extended algebraic-geometric code AG_e(F,20P) [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, 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.