MinT - Information on Result #815920

Information on Result #815920

Linear OOA(3⁵⁸, 32, F₃, 2, 38) (dual of [(32, 2), 6, 39]-NRT-code), using OOA 2-folding 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.