From the reviews: "This book consists of eight chapters plus a five-page appendix on basic finite field theory. ... As a textbook, however, even in computer science, it might be suitable as a reference for specific aspects of an advanced course in cryptology with MPKCs as one of the topics. Certainly anyone interested in this area of cryptology would benefit from having this book as part of their library." (Richard A. Mollin, Zentralblatt MATH, Vol. 1105 (7), 2007) "The book begins with an overview of the basic ideas and early development of multivariate public key cryptography and signature schemes. ... This work can be used by industry experts as a guide for understanding the basic mathematical structures needed to implement these cryptosystems for practical applications, and as a starting point for researchers in both computer science and the mathematical theory of polynomials over finite fields." (Adrian Atanasiu, ACM Computing Reviews, Vol. 49 (4), April, 2008)

• Overview.- Matsumoto-Imai Cryptosystems.- Oil-Vinegar Signature Schemes.- Hidden Field Equations.- Internal Perturbation.- Triangular Schemes.- Direct Attacks.- Future Research.

From the reviews: "This book consists of eight chapters plus a five-page appendix on basic finite field theory. ... As a textbook, however, even in computer science, it might be suitable as a reference for specific aspects of an advanced course in cryptology with MPKCs as one of the topics. Certainly anyone interested in this area of cryptology would benefit from having this book as part of their library." (Richard A. Mollin, Zentralblatt MATH, Vol. 1105 (7), 2007) "The book begins with an overview of the basic ideas and early development of multivariate public key cryptography and signature schemes. ... This work can be used by industry experts as a guide for understanding the basic mathematical structures needed to implement these cryptosystems for practical applications, and as a starting point for researchers in both computer science and the mathematical theory of polynomials over finite fields." (Adrian Atanasiu, ACM Computing Reviews, Vol. 49 (4), April, 2008)

• Overview.- Matsumoto-Imai Cryptosystems.- Oil-Vinegar Signature Schemes.- Hidden Field Equations.- Internal Perturbation.- Triangular Schemes.- Direct Attacks.- Future Research.

From the reviews: "This book consists of eight chapters plus a five-page appendix on basic finite field theory. ... As a textbook, however, even in computer science, it might be suitable as a reference for specific aspects of an advanced course in cryptology with MPKCs as one of the topics. Certainly anyone interested in this area of cryptology would benefit from having this book as part of their library." (Richard A. Mollin, Zentralblatt MATH, Vol. 1105 (7), 2007) "The book begins with an overview of the basic ideas and early development of multivariate public key cryptography and signature schemes. ... This work can be used by industry experts as a guide for understanding the basic mathematical structures needed to implement these cryptosystems for practical applications, and as a starting point for researchers in both computer science and the mathematical theory of polynomials over finite fields." (Adrian Atanasiu, ACM Computing Reviews, Vol. 49 (4), April, 2008)

• Overview.- Matsumoto-Imai Cryptosystems.- Oil-Vinegar Signature Schemes.- Hidden Field Equations.- Internal Perturbation.- Triangular Schemes.- Direct Attacks.- Future Research.