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Worth A Thousand Words

Multivariate Public Key Cryptosystems PDF Author: Jintai Ding
Publisher: Springer Nature
ISBN: 1071609874
Category : Computers
Languages : en
Pages : 253

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Book Description
This book discusses the current research concerning public key cryptosystems. It begins with an introduction to the basic concepts of multivariate cryptography and the history of this field. The authors provide a detailed description and security analysis of the most important multivariate public key schemes, including the four multivariate signature schemes participating as second round candidates in the NIST standardization process for post-quantum cryptosystems. Furthermore, this book covers the Simple Matrix encryption scheme, which is currently the most promising multivariate public key encryption scheme. This book also covers the current state of security analysis methods for Multivariate Public Key Cryptosystems including the algorithms and theory of solving systems of multivariate polynomial equations over finite fields. Through the book’s website, interested readers can find source code to the algorithms handled in this book. In 1994, Dr. Peter Shor from Bell Laboratories proposed a quantum algorithm solving the Integer Factorization and the Discrete Logarithm problem in polynomial time, thus making all of the currently used public key cryptosystems, such as RSA and ECC insecure. Therefore, there is an urgent need for alternative public key schemes which are resistant against quantum computer attacks. Researchers worldwide, as well as companies and governmental organizations have put a tremendous effort into the development of post-quantum public key cryptosystems to meet this challenge. One of the most promising candidates for this are Multivariate Public Key Cryptosystems (MPKCs). The public key of an MPKC is a set of multivariate polynomials over a small finite field. Especially for digital signatures, numerous well-studied multivariate schemes offering very short signatures and high efficiency exist. The fact that these schemes work over small finite fields, makes them suitable not only for interconnected computer systems, but also for small devices with limited resources, which are used in ubiquitous computing. This book gives a systematic introduction into the field of Multivariate Public Key Cryptosystems (MPKC), and presents the most promising multivariate schemes for digital signatures and encryption. Although, this book was written more from a computational perspective, the authors try to provide the necessary mathematical background. Therefore, this book is suitable for a broad audience. This would include researchers working in either computer science or mathematics interested in this exciting new field, or as a secondary textbook for a course in MPKC suitable for beginning graduate students in mathematics or computer science. Information security experts in industry, computer scientists and mathematicians would also find this book valuable as a guide for understanding the basic mathematical structures necessary to implement multivariate cryptosystems for practical applications.

Multivariate Public Key Cryptosystems

Multivariate Public Key Cryptosystems PDF Author: Jintai Ding
Publisher: Springer Nature
ISBN: 1071609874
Category : Computers
Languages : en
Pages : 253

View

Book Description
This book discusses the current research concerning public key cryptosystems. It begins with an introduction to the basic concepts of multivariate cryptography and the history of this field. The authors provide a detailed description and security analysis of the most important multivariate public key schemes, including the four multivariate signature schemes participating as second round candidates in the NIST standardization process for post-quantum cryptosystems. Furthermore, this book covers the Simple Matrix encryption scheme, which is currently the most promising multivariate public key encryption scheme. This book also covers the current state of security analysis methods for Multivariate Public Key Cryptosystems including the algorithms and theory of solving systems of multivariate polynomial equations over finite fields. Through the book’s website, interested readers can find source code to the algorithms handled in this book. In 1994, Dr. Peter Shor from Bell Laboratories proposed a quantum algorithm solving the Integer Factorization and the Discrete Logarithm problem in polynomial time, thus making all of the currently used public key cryptosystems, such as RSA and ECC insecure. Therefore, there is an urgent need for alternative public key schemes which are resistant against quantum computer attacks. Researchers worldwide, as well as companies and governmental organizations have put a tremendous effort into the development of post-quantum public key cryptosystems to meet this challenge. One of the most promising candidates for this are Multivariate Public Key Cryptosystems (MPKCs). The public key of an MPKC is a set of multivariate polynomials over a small finite field. Especially for digital signatures, numerous well-studied multivariate schemes offering very short signatures and high efficiency exist. The fact that these schemes work over small finite fields, makes them suitable not only for interconnected computer systems, but also for small devices with limited resources, which are used in ubiquitous computing. This book gives a systematic introduction into the field of Multivariate Public Key Cryptosystems (MPKC), and presents the most promising multivariate schemes for digital signatures and encryption. Although, this book was written more from a computational perspective, the authors try to provide the necessary mathematical background. Therefore, this book is suitable for a broad audience. This would include researchers working in either computer science or mathematics interested in this exciting new field, or as a secondary textbook for a course in MPKC suitable for beginning graduate students in mathematics or computer science. Information security experts in industry, computer scientists and mathematicians would also find this book valuable as a guide for understanding the basic mathematical structures necessary to implement multivariate cryptosystems for practical applications.

Public Key Cryptography - PKC 2007

Public Key Cryptography - PKC 2007 PDF Author: Tatsuaki Okamoto
Publisher: Springer
ISBN: 3540716777
Category : Computers
Languages : en
Pages : 498

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Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Practice and Theory in Public-Key Cryptography, PKC 2007, held in Beijing, China in April 2007. The 29 revised full papers presented together with two invited lectures are organized in topical sections on signatures, cryptanalysis, protocols, multivariate cryptosystems, encryption, number theoretic techniques, and public-key infrastructure.

Public Key Cryptography - PKC 2006

Public Key Cryptography - PKC 2006 PDF Author: Moti Yung
Publisher: Springer Science & Business Media
ISBN: 3540338519
Category : Business & Economics
Languages : en
Pages : 542

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Book Description
Here are the refereed proceedings of the 9th International Conference on Theory and Practice in Public-Key Cryptography, PKC 2006, held in New York City in April 2006. The 34 revised full papers presented are organized in topical sections on cryptanalysis and protocol weaknesses, distributed crypto-computing, encryption methods, cryptographic hash and applications, number theory algorithms, pairing-based cryptography, cryptosystems design and analysis, signature and identification, authentication and key establishment, multi-party computation, and PKI techniques.

Public-Key Cryptography – PKC 2021

Public-Key Cryptography – PKC 2021 PDF Author: Juan A. Garay
Publisher: Springer Nature
ISBN: 3030752453
Category : Computers
Languages : en
Pages : 756

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Book Description
The two-volume proceedings set LNCS 12710 and 12711 constitutes the proceedings of the 24th IACR International Conference on Practice and Theory of Public Key Cryptography, PKC 2021, which was held online during May 10-13, 2021. The conference was originally planned to take place in Edinburgh, UK, but had to change to an online format due to the COVID-19 pandemic. The 52 papers included in these proceedings were carefully reviewed and selected from 156 submissions. They focus on all aspects of public-key cryptography, covering theory, implementations and applications. This year, post-quantum cryptography, PQC constructions and cryptanalysis received special attention.

Public Key Cryptography - PKC 2009

Public Key Cryptography - PKC 2009 PDF Author: Stanislaw Jarecki
Publisher: Springer
ISBN: 3642004687
Category : Computers
Languages : en
Pages : 526

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Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Practice and Theory in Public-Key Cryptography, PKC 2009, held in Irvine, CA, USA, in March 2009. The 28 revised full papers presented were carefully reviewed and selected from 112 submissions. The papers are organized in topical sections on number theory, applications and protocols, multi-party protocols, identity-based encryption, signatures, encryption, new cryptosystems and optimizations, as well as group signatures and anonymous credentials.

Public Key Cryptography -- PKC 2011

Public Key Cryptography -- PKC 2011 PDF Author: Dario Catalano
Publisher: Springer
ISBN: 364219379X
Category : Computers
Languages : en
Pages : 495

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Book Description
This book constitutes the thoroughly refereed proceedings of the 14th International Conference on Practice and Theory in Public Key Cryptography, PKC 2011, held in Taormina, Italy, in March 2011. The 28 papers presented were carefully reviewed and selected from 103 submissions. The book also contains one invited talk. The papers are grouped in topical sections on signatures, attribute based encryption, number theory, protocols, chosen-ciphertext security, encryption, zero-knowledge, and cryptanalysis.

Public Key Cryptography – PKC 2008

Public Key Cryptography – PKC 2008 PDF Author: Ronald Cramer
Publisher: Springer Science & Business Media
ISBN: 354078439X
Category : Business & Economics
Languages : en
Pages : 396

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Book Description
This book contains the proceedings of the 11th International Workshop on Practice and Theory in Public-Key Cryptography. Coverage includes algebraic and number theoretical cryptoanalysis, theory of public key encryption, and public key encryption.

Post-Quantum Cryptography

Post-Quantum Cryptography PDF Author: Johannes Buchmann
Publisher: Springer
ISBN: 3540884033
Category : Computers
Languages : en
Pages : 231

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Book Description
This book constitutes the refereed proceedings of the Second International Workshop on Post-Quantum Cryptography, PQCrypto 2008, held in Cincinnati, OH, USA, in October 2008. The 15 revised full papers presented were carefully reviewed and selected from numerous submissions. Quantum computers are predicted to break existing public key cryptosystems within the next decade. Post-quantum cryptography is a new fast developing area, where public key schemes are studied that could resist these emerging attacks. The papers present four families of public key cryptosystems that have the potential to resist quantum computers: the code-based public key cryptosystems, the hash-based public key cryptosystems, the lattice-based public key cryptosystems and the multivariate public key cryptosystems.

Public Key Cryptography - PKC 2005

Public Key Cryptography - PKC 2005 PDF Author: Serge Vaudenay
Publisher: Springer
ISBN: 3540305807
Category : Computers
Languages : en
Pages : 436

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Book Description
This book constitutes the refereed proceedings of the 8th International Workshop on Theory and Practice in Public Key Cryptography, PKC 2005, held in Les Diablerets, Switzerland in January 2005. The 28 revised full papers presented were carefully reviewed and selected from 126 submissions. The papers are organized in topical sections on cryptanalysis, key establishment, optimization, building blocks, RSA cryptography, multivariate asymmetric cryptography, signature schemes, and identity-based cryptography.

Public Key Cryptography - PKC 2010

Public Key Cryptography - PKC 2010 PDF Author: Phong Q. Nguyen
Publisher: Springer Science & Business Media
ISBN: 3642130127
Category : Business & Economics
Languages : en
Pages : 519

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Book Description
This book constitutes the refereed proceedings of the 13th International Conference on Practice and Theory in Public Key Cryptography, PKC 2010, held in Paris, France, in May 2010. The 29 revised full papers presented were carefully reviewed and selected from 145 submissions. The papers are organized in topical sections on encryption; cryptanalysis; protocols; network coding; tools; elliptic curves; lossy trapdoor functions; discrete logarithm; and signatures.