MinT - Information on Result #966036

Information on Result #966036

Linear OOA(4¹⁶⁹, 102, F₄, 3, 60) (dual of [(102, 3), 137, 61]-NRT-code), using OOA 3-folding based on linear OA(4¹⁶⁹, 306, F₄, 60) (dual of [306, 137, 61]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁶⁹, 307, F₄, 60) (dual of [307, 138, 61]-code), using
- 1 times truncation [i] based on linear OA(4¹⁷⁰, 308, F₄, 61) (dual of [308, 138, 62]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(64³¹, 77, F₆₄, 30) (dual of [77, 46, 31]-code), using
      - discarding factors / shortening the dual code based on linear OA(64³¹, 79, F₆₄, 30) (dual of [79, 48, 31]-code), using
        algebraic-geometric code AG(F,48P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [i]
    2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.