MinT - Information on Result #2262529

Information on Result #2262529

Linear OA(2²³³, 257, F₂, 97) (dual of [257, 24, 98]-code), using 3 times code embedding in larger space based on linear OA(2²³⁰, 254, F₂, 97) (dual of [254, 24, 98]-code), using

2 times truncation [i] based on linear OA(2²³², 256, F₂, 99) (dual of [256, 24, 100]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16²⁶, 32, F₁₆, 24) (dual of [32, 6, 25]-code), using
    - discarding factors / shortening the dual code based on linear OA(16²⁶, 33, F₁₆, 24) (dual of [33, 7, 25]-code), using
      - extended algebraic-geometric code AG_e(F,8P) [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.