MinT - Information on Result #2467333

Information on Result #2467333

Linear OOA(3²⁴⁷, 143, F₃, 2, 135) (dual of [(143, 2), 39, 136]-NRT-code), using 1 step truncation based on linear OOA(3²⁴⁸, 144, F₃, 2, 136) (dual of [(144, 2), 40, 137]-NRT-code), using

strength reduction [i] based on linear OOA(3²⁴⁸, 144, F₃, 2, 137) (dual of [(144, 2), 40, 138]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁵², 36, F₉, 2, 45) (dual of [(36, 2), 20, 46]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,26P) [i] based on function field F/F₉ with g(F) = 7 and N(F) ≥ 36, using
      - a function field by SÃ©mirat [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.