MinT - Information on Result #2261022

Information on Result #2261022

Linear OA(2¹⁶³, 199, F₂, 57) (dual of [199, 36, 58]-code), using 9 times code embedding in larger space based on linear OA(2¹⁵⁴, 190, F₂, 57) (dual of [190, 36, 58]-code), using

2 times truncation [i] based on linear OA(2¹⁵⁶, 192, F₂, 59) (dual of [192, 36, 60]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁵, 24, F₁₆, 14) (dual of [24, 9, 15]-code), using
    - extended algebraic-geometric code AG_e(F,9P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
  2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
    - Reedâ€“Muller code RM(1,3) [i]
    - caps in base bÂ =Â 2 [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.