MinT - Information on Result #953918

Information on Result #953918

Linear OOA(3⁷⁶, 41, F₃, 3, 29) (dual of [(41, 3), 47, 30]-NRT-code), using OOA 3-folding based on linear OA(3⁷⁶, 123, F₃, 29) (dual of [123, 47, 30]-code), using

discarding factors / shortening the dual code based on linear OA(3⁷⁶, 124, F₃, 29) (dual of [124, 48, 30]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27¹⁵, 31, F₂₇, 14) (dual of [31, 16, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(27¹⁵, 38, F₂₇, 14) (dual of [38, 23, 15]-code), using
      - extended algebraic-geometric code AG_e(F,23P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, 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.