MinT - Information on Result #2262229

Information on Result #2262229

Linear OA(2²⁵⁰, 306, F₂, 84) (dual of [306, 56, 85]-code), using 5 times code embedding in larger space based on linear OA(2²⁴⁵, 301, F₂, 84) (dual of [301, 56, 85]-code), using

3 times truncation [i] 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.