What does $\{0,1\}^n$ mean?

Question

Could you explain what the below text means? What does $\{0,1\}^n$ mean?

the keys are chosen uniformly from the set of words of length of the alphabet $\{0,1\}$ denoted by $\{0,1\}^n$.

The set of all $n$-tuples over the alphabet ${0,1}$. In other words, the set of all binary strings of length $n$. — Rodrigo de Azevedo, Nov 06 '22 at 21:14
Does this answer your question? What does X^k mean in mathematical logic — zeyonaut, Nov 06 '22 at 23:01

score 1 · Answer 1 · answered Nov 06 '22 at 21:14

1

Set of words consisting of $0$ and $1$ of length $n$, e. g. $\{0,1\}^3=\{000,001,010,011,100,101,110,111\}$.

answered Nov 06 '22 at 21:14

colt_browning

score 0 · Answer 2 · answered Nov 06 '22 at 21:14

0

This is the set of ordered tuples $(x_1, x_2, \ldots, x_n)$ where each $x_i$ is $0$ or $1.$ This is an example of Cartesian product.

answered Nov 06 '22 at 21:14

Sean Roberson

2 Answers2