MinT - Information on Result #2261319

Information on Result #2261319

Linear OA(2¹⁶³, 195, F₂, 63) (dual of [195, 32, 64]-code), using 3 times code embedding in larger space based on linear OA(2¹⁶⁰, 192, F₂, 63) (dual of [192, 32, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹⁶, 24, F₁₆, 15) (dual of [24, 8, 16]-code), using
  - extended algebraic-geometric code AG_e(F,8P) [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.