Baldoni, M. Welleda; Ciliberto, Ciro; Piacentini Cattaneo, Giulia Maria Elementary number theory, cryptography and codes. Transl. from the Italian. (English) Zbl 1162.11001 Universitext. Berlin: Springer (ISBN 978-3-540-69199-0/pbk; 978-3-540-69200-3/ebook). xvi, 522 p. (2009). This title appeared first in Italian language “Aritmetica, Crittografia and Codici” [Unitext 24. Milano: Springer (2006; Zbl 1100.11001)]. As mentioned in that review the aim of the book is to introduce the basic concepts on the two topics of Cryptography and Error Correcting Codes, presented as applications of Number Theory and Finite Fields (accordingly the first two-thirds of the book are dedicated to the study of the necessary arithmetic tools).The book is addressed to undergraduate students and is as self-contained as possible. It is well written and rigorous and each chapter is complemented with three lists of exercises (theoretical, of calculation and of implementation); solutions for about half of them are provided at the end of the book.Therefore it is good news to have the translation into English of this work that will allow a much wider public access. Reviewer: Juan Tena Ayuso (Valladolid) Cited in 4 Documents MSC: 11-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory 94-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory 11T71 Algebraic coding theory; cryptography (number-theoretic aspects) 94A60 Cryptography 81P68 Quantum computation 11Y16 Number-theoretic algorithms; complexity 11Axx Elementary number theory 11Y05 Factorization 11Y11 Primality 14G50 Applications to coding theory and cryptography of arithmetic geometry Keywords:elementary number theory; computational complexity; finite fields; primality; factoring; cryptography; error correcting codes; quantum cryptography Citations:Zbl 1100.11001 PDFBibTeX XMLCite \textit{M. W. Baldoni} et al., Elementary number theory, cryptography and codes. Transl. from the Italian. Berlin: Springer (2009; Zbl 1162.11001) Full Text: DOI