MinT - Information on Result #958145

Information on Result #958145

Linear OOA(3¹⁷⁷, 81, F₃, 3, 70) (dual of [(81, 3), 66, 71]-NRT-code), using OOA 3-folding based on linear OA(3¹⁷⁷, 243, F₃, 70) (dual of [243, 66, 71]-code), using

1 times truncation [i] based on linear OA(3¹⁷⁸, 244, F₃, 71) (dual of [244, 66, 72]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27³⁹, 61, F₂₇, 35) (dual of [61, 22, 36]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³⁹, 64, F₂₇, 35) (dual of [64, 25, 36]-code), using
      - extended algebraic-geometric code AG_e(F,28P) [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.