MinT - Information on Result #2262035

Information on Result #2262035

Linear OA(2²¹⁷, 265, F₂, 78) (dual of [265, 48, 79]-code), using 2 times code embedding in larger space based on linear OA(2²¹⁵, 263, F₂, 78) (dual of [263, 48, 79]-code), using

1 times truncation [i] based on linear OA(2²¹⁶, 264, F₂, 79) (dual of [264, 48, 80]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16²¹, 33, F₁₆, 19) (dual of [33, 12, 20]-code), using
    - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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.