MinT - Information on Result #2684435

Information on Result #2684435

Linear OOA(3²²¹, 81, F₃, 3, 142) (dual of [(81, 3), 22, 143]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²¹⁸, 80, F₃, 3, 142) (dual of [(80, 3), 22, 143]-NRT-code), using

strength reduction [i] based on linear OOA(3²¹⁸, 80, F₃, 3, 143) (dual of [(80, 3), 22, 144]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁴⁹, 20, F₉, 3, 47) (dual of [(20, 3), 11, 48]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, 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.