MinT - Information on Result #1063619

Information on Result #1063619

Linear OOA(3⁹⁴, 29, F₃, 4, 52) (dual of [(29, 4), 22, 53]-NRT-code), using OOA 2-folding based on linear OOA(3⁹⁴, 58, F₃, 2, 52) (dual of [(58, 2), 22, 53]-NRT-code), using

4 step truncation [i] based on linear OOA(3⁹⁸, 60, F₃, 2, 56) (dual of [(60, 2), 22, 57]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9¹⁹, 15, F₉, 2, 18) (dual of [(15, 2), 11, 19]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9¹⁹, 16, F₉, 2, 18) (dual of [(16, 2), 13, 19]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,13P) [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.