MinT - Information on Result #868817

Information on Result #868817

Linear OOA(27⁹⁷, 53, F₂₇, 2, 82) (dual of [(53, 2), 9, 83]-NRT-code), using OOA 2-folding based on linear OA(27⁹⁷, 106, F₂₇, 82) (dual of [106, 9, 83]-code), using

discarding factors / shortening the dual code based on linear OA(27⁹⁷, 107, F₂₇, 82) (dual of [107, 10, 83]-code), using
- juxtaposition [i] based on
  1. linear OA(27³³, 43, F₂₇, 31) (dual of [43, 10, 32]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³³, 48, F₂₇, 31) (dual of [48, 15, 32]-code), using
      - extended algebraic-geometric code AG_e(F,16P) [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(27⁵⁴, 64, F₂₇, 50) (dual of [64, 10, 51]-code), using
    - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, using
      - a function field by SÃ©mirat [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.