MinT - Information on Result #2684518

Information on Result #2684518

Linear OOA(3²⁴⁹, 92, F₃, 3, 157) (dual of [(92, 3), 27, 158]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁴⁸, 92, F₃, 3, 157) (dual of [(92, 3), 28, 158]-NRT-code), using

strength reduction [i] based on linear OOA(3²⁴⁸, 92, F₃, 3, 158) (dual of [(92, 3), 28, 159]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁵⁵, 23, F₉, 3, 52) (dual of [(23, 3), 14, 53]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁵⁵, 28, F₉, 3, 52) (dual of [(28, 3), 29, 53]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [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.