MinT - Information on Result #959722

Information on Result #959722

Linear OOA(3²³⁹, 106, F₃, 3, 93) (dual of [(106, 3), 79, 94]-NRT-code), using OOA 3-folding based on linear OA(3²³⁹, 318, F₃, 93) (dual of [318, 79, 94]-code), using

discarding factors / shortening the dual code based on linear OA(3²³⁹, 320, F₃, 93) (dual of [320, 81, 94]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27⁵³, 80, F₂₇, 46) (dual of [80, 27, 47]-code), using
    - discarding factors / shortening the dual code based on linear OA(27⁵³, 81, F₂₇, 46) (dual of [81, 28, 47]-code), using
      - algebraic-geometric code AG(F,34P) [i] based on function field F/F₂₇ with g(F) = 7 and N(F) ≥ 82, 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.