MinT - Information on Result #2261694

Information on Result #2261694

Linear OA(2²¹⁵, 271, F₂, 70) (dual of [271, 56, 71]-code), using 8 times code embedding in larger space based on linear OA(2²⁰⁷, 263, F₂, 70) (dual of [263, 56, 71]-code), using

1 times truncation [i] based on linear OA(2²⁰⁸, 264, F₂, 71) (dual of [264, 56, 72]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁹, 33, F₁₆, 17) (dual of [33, 14, 18]-code), using
    - extended algebraic-geometric code AG_e(F,15P) [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.