MinT - Information on Result #1064745

Information on Result #1064745

Linear OOA(3¹⁰⁹, 31, F₃, 4, 68) (dual of [(31, 4), 15, 69]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁰⁹, 62, F₃, 2, 68) (dual of [(62, 2), 15, 69]-NRT-code), using

3 step truncation [i] based on linear OOA(3¹¹², 64, F₃, 2, 71) (dual of [(64, 2), 16, 72]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9²⁴, 16, F₉, 2, 23) (dual of [(16, 2), 8, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
  2. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
    - extended Reedâ€“Solomon code RS_e(2,3) [i]
    - Hamming code H(2,3) [i]
    - Simplex code S(2,3) [i]
    - the Tetracode [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.