Hamming Distance is a metric used to measure the difference between two strings of equal length by counting the number of positions at which the corresponding symbols differ. It is widely used in error detection and correction, information theory, and coding theory to evaluate the similarity between data strings and ensure data integrity.

Hamming Distance

Metric used to measure difference

two strings of equal length

number of positions

corresponding symbols

Error detection is a critical process in computing and data transmission that identifies and signals the presence of errors in data. It ensures data integrity and reliability by using algorithms and techniques to detect discrepancies between the received data and what was expected.

error detection

Error correction is a process used to detect and correct errors in data transmission or storage, ensuring data integrity and reliability. It employs algorithms and techniques to identify discrepancies and restore the original data without needing retransmission.

Error Correction

Information theory is a mathematical framework for quantifying information, primarily focusing on data compression and transmission efficiency. It introduces fundamental concepts such as entropy, which measures the uncertainty in a set of outcomes, and channel capacity, which defines the maximum rate of reliable communication over a noisy channel.

information theory

Coding Theory is a branch of mathematics and computer science focused on the design of error-detecting and error-correcting codes to ensure reliable data transmission over noisy communication channels. It plays a crucial role in digital communication systems, data storage, and network security by optimizing data encoding and decoding processes to minimize errors and enhance efficiency.

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