MinT - Information on Result #957462

Information on Result #957462

Linear OOA(3¹⁵², 66, F₃, 3, 63) (dual of [(66, 3), 46, 64]-NRT-code), using OOA 3-folding based on linear OA(3¹⁵², 198, F₃, 63) (dual of [198, 46, 64]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁵², 200, F₃, 63) (dual of [200, 48, 64]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27³⁴, 50, F₂₇, 31) (dual of [50, 16, 32]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³⁴, 52, F₂₇, 31) (dual of [52, 18, 32]-code), using
      - extended algebraic-geometric code AG_e(F,20P) [i] based on function field F/F₂₇ with g(F) = 3 and N(F) ≥ 52, 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.