Enables readers to understand applications of attribute-based encryption schemes in cloud computing with the support of blockchain technology With a focus on blockchain technology, Attribute-based Encryption (ABE) provides insight into the application of attribute-based encryption (ABE) schemes with blockchain, discussing types of blockchains, fundamentals of blockchain, and how blockchains are constructed. Comprised of 16 chapters, the text provides readers with an overview of the components that go into creating a dual ABE system of encryption proofs within the following: composite bilinear groups, dual pairing vector space framework, matrix pairing framework, framework for matrix pairing, and the application of cryptographic scheme on blockchain. The team of authors discuss the basic construction components of ABE and share the security models, including the selective and semi-adaptive security models, applying these to either prime order or composite order groups. This book also discusses the tools used for converting a composite order ABE scheme to prime order and an adaptive secure ABE scheme based on prime order. In Attribute-based Encryption (ABE), readers can expect to find information on: * Mathematical background of ABE, covering group and cyclic group, elliptic curves, curve selection, supersingular curves, ordinary curves, and weil and tate pairing * Basic construction components of ABE, covering access structure, monotone boolean formula, linear secret-sharing scheme, and ordered binary decision diagram * Tools for converting composite order ABE schemes to prime order, covering security assumptions and conversion based on vectors for preliminaries, scheme construction, and security proof technique * Foundations of blockchain technology, covering blocks, miners, hash functions, and public key cryptography Attribute-based Encryption (ABE) is an essential resource for professionals working in the field of design and cybersecurity who wish to understand how to use blockchain and the ABE scheme to provide fine-grained access control in outsourced data on third-party cloud servers.