Introduces the theory and algorithms involved in curve-based cryptography. This book provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides algorithms.
Introduces the theory and algorithms involved in curve-based cryptography. This book provides ready-to-implement algorithms for the group operations and computation of pairings. It explores methods for point counting and constructing curves with the complex multiplication method and provides algorithms.
Elliptic and Hyperelliptic Curve Cryptography is the first exhaustive study of virtually all of the mathematical aspects of public key cryptography based on the discrete log system. This carefully constructed volume is a state-of-the-art study that explores both theory and applications. The book covers most aspects of elliptic curves and hyperelliptic curve cryptography and provides a detailed study on the smart card, including information on its main components, electronic properties, and attacks on the embedded memory. Standards on elliptic curve cryptography are provided along with information on some of the legal aspects of cryptography in the European Union and the United States.
“very comprehensive coverage of this vast subject area a useful and essential treatise for anyone involved in elliptic curve algorithms this book offers the opportunity to grasp the ECC technology with a diversified and comprehensive perspective. This book will remain on my shelf for a long time and will land on my desk on many occasions, if only because the coverage of the issues common to factoring and discrete log cryptosystems is excellent. "IACR Book Reviews, June 2011 the book is designed for people who are working in the area and want to learn more about a specific issue. The chapters are written to be relatively independent so that readers can focus on the part of interest for them. Such readers will be grateful for the excellent index and extensive bibliography. the handbook covers a wide range of topics and will be a valuable reference for researchers in curve-based cryptography. "Steven D. Galbraith, Mathematical Reviews, Issue 2007f”
! very comprehensive coverage of this vast subject area ! a useful and essential treatise for anyone involved in elliptic curve algorithms ! this book offers the opportunity to grasp the ECC technology with a diversified and comprehensive perspective. ! This book will remain on my shelf for a long time and will land on my desk on many occasions, if only because the coverage of the issues common to factoring and discrete log cryptosystems is excellent. --IACR Book Reviews, June 2011 ! the book is designed for people who are working in the area and want to learn more about a specific issue. The chapters are written to be relatively independent so that readers can focus on the part of interest for them. Such readers will be grateful for the excellent index and extensive bibliography. ! the handbook covers a wide range of topics and will be a valuable reference for researchers in curve-based cryptography. --Steven D. Galbraith, Mathematical Reviews, Issue 2007f
Henri Cohen, Gerhard Frey, Roberto Avanzi, Christophe Doche, Tanja Lange, Kim Nguyen, Frederik Vercauteren
The Handbook of Elliptic and Hyperelliptic Curve Cryptography is the first exhaustive study of virtually all of the mathematical aspects of curve-based public key cryptography. This carefully constructed volume is a state-of-the-art study that explores both theory and applications. It provides a wealth of ready-to-use algorithms enabling fast implementation along with recommendations for selecting appropriate algorithms. The book also considers side-channel attacks and implementation aspects of smart cards. Broad, comprehensive coverage makes this a complete resource for elliptic and hyperelliptic curve cryptography and an invaluable reference to anyone interested in this exciting field.
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