MinT - Information on Result #809467

Information on Result #809467

Linear OOA(2¹¹⁶, 68, F₂, 2, 50) (dual of [(68, 2), 20, 51]-NRT-code), using OOA 2-folding based on linear OA(2¹¹⁶, 136, F₂, 50) (dual of [136, 20, 51]-code), using

strength reduction [i] based on linear OA(2¹¹⁶, 136, F₂, 51) (dual of [136, 20, 52]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
    - extended Reedâ€“Solomon code RS_e(5,16) [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.