By Richard E. Blahut
Modern-day pervasive computing and communications networks have created an extreme want for safe and trustworthy cryptographic structures. Bringing jointly a desirable mix of themes in engineering, arithmetic, laptop technological know-how, and informatics, this publication offers the undying mathematical idea underpinning cryptosystems either previous and new. significant branches of classical and sleek cryptography are mentioned intimately, from simple block and movement cyphers via to structures in line with elliptic and hyperelliptic curves, observed through concise summaries of the mandatory mathematical historical past. useful elements similar to implementation, authentication and protocol-sharing also are coated, as are the prospective pitfalls surrounding a number of cryptographic equipment. Written particularly with engineers in brain, and offering a superior grounding within the proper algorithms, protocols and strategies, this insightful advent to the rules of recent cryptography is perfect for graduate scholars and researchers in engineering and laptop technological know-how, and practitioners concerned about the layout of protection platforms for communications networks
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Additional info for Cryptography and Secure Communication
This leads to the topic of covert communications. One example of covertness is a message constructed so that it has the appearance of the background noise that is always present in every environment. Another example is the modulation of the precise timing of packet transmissions in a packetized communication network so that the sequence of interpacket time intervals conveys the covert information. More generally, the requirement of covertness leads to the topic of steganography, which is the process of hiding one message inside another message.
These methods are primarily used to create the keys that are then to be used by other ciphers, either block ciphers or stream ciphers. 2 shows a very stylized and abbreviated depiction of the role of abstract mathematics in public-key cryptography, and gives a glimpse of some topics that will be studied in this book. Starting at the base of the stack with the familiar properties of the integers, a sequence of mathematics structures are built one on top of the other: prime fields from number theory, extension fields from prime fields, elliptic and hyperelliptic curves over finite fields from extension fields, and bilinear pairings from elliptic curves.
A signature can have another use. Instead of authenticating the source of a document, a signature can be used later by the receiver to verify that the document already existed at the time of transmission of the signature. The source prepares a cryptographically secure digest of the message, the digest is then signed and the signed digest transmitted. The document itself can be transmitted or revealed at a later time. At this later time, the receiver computes the message digest from the received message and verifies it using the signature received earlier, proving that the document existed at the time the signature was received.