MinT - Information on Result #2223147

Information on Result #2223147

Linear OA(2¹³⁸, 174, F₂, 48) (dual of [174, 36, 49]-code), using 2 times truncation based on linear OA(2¹⁴⁰, 176, F₂, 50) (dual of [176, 36, 51]-code), using

strength reduction [i] based on linear OA(2¹⁴⁰, 176, F₂, 51) (dual of [176, 36, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹³, 22, F₁₆, 12) (dual of [22, 9, 13]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹³, 24, F₁₆, 12) (dual of [24, 11, 13]-code), using
      - extended algebraic-geometric code AG_e(F,11P) [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.