Definition:Binary Tuple
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Definition
A binary tuple is an ordered tuple whose domain is the set $\set {0, 1}$.
That is, it is an ordered $n$-tuple $\tuple {x_1, x_2, \ldots, x_n}$ such that each $x_i$ is either $0$ or $1$.
The set of all binary $n$-tuples can often be seen denoted $V_n$:
- $V_n := \set {\tuple {x_1, x_2, \ldots, x_n}: \forall i \in \set {1, 2, \ldots n}: x_i \in \set {0, 1} }$
Sources
- 1988: Dominic Welsh: Codes and Cryptography ... (previous) ... (next): Notation