MinT - Information on Result #954906

Information on Result #954906

Linear OOA(3⁵⁸, 21, F₃, 3, 38) (dual of [(21, 3), 5, 39]-NRT-code), using OOA 3-folding based on linear OA(3⁵⁸, 63, F₃, 38) (dual of [63, 5, 39]-code), using

discarding factors / shortening the dual code based on linear OA(3⁵⁸, 64, F₃, 38) (dual of [64, 6, 39]-code), using
- concatenation of two codes [i] based on
  1. linear OA(9¹³, 16, F₉, 12) (dual of [16, 3, 13]-code), using
    - extended algebraic-geometric code AG_e(F,3P) [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.