MinT - Information on Result #2262365

Information on Result #2262365

Linear OA(2²⁵¹, 307, F₂, 87) (dual of [307, 56, 88]-code), using 3 times code embedding in larger space based on linear OA(2²⁴⁸, 304, F₂, 87) (dual of [304, 56, 88]-code), using

concatenation of two codes [i] based on
1. linear OA(16²⁴, 38, F₁₆, 21) (dual of [38, 14, 22]-code), using
  - extended algebraic-geometric code AG_e(F,16P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, 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.

Other Results with Identical Parameters

None.

Depending Results

None.