MinT - Information on Result #818911

Information on Result #818911

Linear OOA(3¹⁷⁴, 132, F₃, 2, 63) (dual of [(132, 2), 90, 64]-NRT-code), using OOA 2-folding based on linear OA(3¹⁷⁴, 264, F₃, 63) (dual of [264, 90, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(27³⁶, 66, F₂₇, 31) (dual of [66, 30, 32]-code), using
  - discarding factors / shortening the dual code based on linear OA(27³⁶, 68, F₂₇, 31) (dual of [68, 32, 32]-code), using
    - extended algebraic-geometric code AG_e(F,36P) [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.