MinT - Information on Result #832089

Information on Result #832089

Linear OOA(4²³¹, 172, F₄, 2, 92) (dual of [(172, 2), 113, 93]-NRT-code), using OOA 2-folding based on linear OA(4²³¹, 344, F₄, 92) (dual of [344, 113, 93]-code), using

discarding factors / shortening the dual code based on linear OA(4²³¹, 345, F₄, 92) (dual of [345, 114, 93]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³¹, 69, F₆₄, 30) (dual of [69, 38, 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(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
    - extended Reedâ€“Solomon code RS_e(3,4) [i]
    - Hamming code H(2,4) [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.