String comparison, including comparing strings with a rule, can be time consuming, and strings may not be suitable for analysis using machine learning algorithms. The present disclosure provides positionally-encoded representations of strings, such as binary matrices or arrays, that provide an encoded representation of the string. The encoding, and decoding, can be facilitated by an encoding schema, such as an encoding schema stored in the memory of a computer device. The encoding schema associates particular characters with particular positions in an array. The positionally-encoded string representations can be used for security applications, such as to determine whether an authorization token that includes at least one string complies with an authorization rule. The authorization rule can be specified as a positionally-encoded representation that defines a set of strings that comply with the rule.