MinT - Information on Result #833007

Information on Result #833007

Linear OOA(4²⁵¹, 182, F₄, 2, 104) (dual of [(182, 2), 113, 105]-NRT-code), using OOA 2-folding based on linear OA(4²⁵¹, 364, F₄, 104) (dual of [364, 113, 105]-code), using

discarding factors / shortening the dual code based on linear OA(4²⁵¹, 365, F₄, 104) (dual of [365, 114, 105]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁵, 73, F₆₄, 34) (dual of [73, 38, 35]-code), using
    - discarding factors / shortening the dual code based on linear OA(64³⁵, 79, F₆₄, 34) (dual of [79, 44, 35]-code), using
      - algebraic-geometric code AG(F,44P) [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.