MinT - Information on Result #2492110

Information on Result #2492110

Linear OOA(3²¹⁴, 129, F₃, 2, 111) (dual of [(129, 2), 44, 112]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3²¹⁰, 127, F₃, 2, 111) (dual of [(127, 2), 44, 112]-NRT-code), using

2 step truncation [i] based on linear OOA(3²¹², 128, F₃, 2, 113) (dual of [(128, 2), 44, 114]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁴², 32, F₉, 2, 37) (dual of [(32, 2), 22, 38]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,26P) [i] based on function field F/F₉ with g(F) = 5 and N(F) ≥ 32, 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.