Information is vulnerable to interception, perhaps by an identity thief, or to corruption by perfectly innocent sources of noise such as a scratch on a CD.
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For this reason communications are often protected by mathematical codes designed either to compensate for noise or to baffle a potential eavesdropper. Loepp and Wootters emphasize the close relationship of their fields, pulling together ideas from the fields of mathematics, physics, and computer science, in the discussion of their subject.
The mathematics and physics sections build one on top of the other. Error-correcting codes and generalized Reed-Solomon codes each earn a chapter, as do quantum mechanics, quantum cryptography, and quantum computing.
Highlights include a description of the popular RSA public-key cryptosystem, and a detailed account of the algorithm by which a quantum computer could someday render this system useless. Susan Loepp , William K.
Protecting Information: From Error Correction to Quantum Cryptography
For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.
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