MinT - Information on Result #839072

Information on Result #839072

Linear OOA(5¹²³, 82, F₅, 2, 61) (dual of [(82, 2), 41, 62]-NRT-code), using OOA 2-folding based on linear OA(5¹²³, 164, F₅, 61) (dual of [164, 41, 62]-code), using

discarding factors / shortening the dual code based on linear OA(5¹²³, 165, F₅, 61) (dual of [165, 42, 62]-code), using
- concatenation of two codes [i] based on
  1. linear OA(25³⁴, 55, F₂₅, 30) (dual of [55, 21, 31]-code), using
    - discarding factors / shortening the dual code based on linear OA(25³⁴, 65, F₂₅, 30) (dual of [65, 31, 31]-code), using
      - algebraic-geometric code AG(F,34P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(5¹, 3, F₅, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(5¹, s, F₅, 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.