Some fundamentals of mathematics of blockchain

著者

    • Riposo, Julien

書誌事項

Some fundamentals of mathematics of blockchain

Julien Riposo

Springer, c2023

  • :hbk

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注記

Includes bibliographical references (p.[144]-145) and index

内容説明・目次

内容説明

This book provides a foundation for the mathematics of blockchain. It is inspired by a general analysis and synthesis of the current knowledge of blockchain technology and starts by laying a foundation for the mathematics of blockchain. The aim is for research in the area of blockchain to lead their study from the construction highlighted in this book. First, the basis of a blockchain is set: block, transaction contents, block header, Merkle tree, nonce, Proof-of-Work. Connections with elliptic curves and cryptographic signatures are made. Second, the book ties this with a Graph and Matrix Theories approach and models the peer-to-peer relationship through the Bitcoin Network. Third, it is proposed further modelling, notably around halving, optimal storing, or diffusion of information, which are consequences of the mathematical foundation. The notion of Entropy of Privacy and the Particles model are introduced.Finally, the mathematical statements therein are proven and essential reminders can be found before each section, so the content can be accessible from a graduate level.

目次

I. Blockchain and the Underlying MathematicsII. Mathematical Settings of the BlockchainIII. Digital SignatureIV. Blockchain Contributors: the Network of UsersV. Applications: Some Influential Research StudiesConclusionReferencesIndex

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詳細情報

  • NII書誌ID(NCID)
    BD02326809
  • ISBN
    • 9783031313226
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xiii, 150 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
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