MinT - Information on Result #956194

Information on Result #956194

Linear OOA(3¹²¹, 53, F₃, 3, 51) (dual of [(53, 3), 38, 52]-NRT-code), using OOA 3-folding based on linear OA(3¹²¹, 159, F₃, 51) (dual of [159, 38, 52]-code), using

discarding factors / shortening the dual code based on linear OA(3¹²¹, 160, F₃, 51) (dual of [160, 39, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27²⁷, 40, F₂₇, 25) (dual of [40, 13, 26]-code), using
    - discarding factors / shortening the dual code based on linear OA(27²⁷, 48, F₂₇, 25) (dual of [48, 21, 26]-code), using
      - extended algebraic-geometric code AG_e(F,22P) [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
        a function field by GarcÃa and Quoos [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.