MinT - Information on Result #805395

Information on Result #805395

Linear OOA(2¹⁸, 24, F₂, 2, 7) (dual of [(24, 2), 30, 8]-NRT-code), using OOA 2-folding based on linear OA(2¹⁸, 48, F₂, 7) (dual of [48, 30, 8]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(2⁶, 24, F₂, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,2)), using
  - discarding factors / shortening the dual code based on linear OA(2⁶, 32, F₂, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
    - Reedâ€“Muller code RM(1,5) [i]
    - caps in base bÂ =Â 2 [i]
2. linear OA(2¹², 24, F₂, 7) (dual of [24, 12, 8]-code), using
  - extended Golay code G_e(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.