One of the main challenges that the government faces in "Harrison Bergeron" is that people are born so different from each other in a society that values uniformity.
Ironically, to ensure that sameness, some people must stand out in leadership roles. Chief among them is the Handicapper General. The "handicap" is the primary way of promoting the equality of ability and intelligence.
Some handicaps are physical and exterior. Beautiful faces are covered with masks. The ballet dancers must have weights attached to their limbs so they do not jump and soar to the heights.
Other handicaps are attached to or implanted in the person's brain. Harrison's father, George, was born with high intelligence but he is not supposed to use it as that would be an unfair advantage. Whenever he thinks too deeply, his handicap mental radio sends him painful sharp transmissions.