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QC-LDPC Code-Based CryptographyQuasi-Cyclic Low-Density Parity-Check Codes

QC-LDPC Code-Based Cryptography: Quasi-Cyclic Low-Density Parity-Check Codes [In this chapter, we describe the main characteristics of a hybrid class of codes which are both quasi-cyclic (QC) and low-density parity-check (LDPC) codes. They join the powerful error correcting performance of LDPC codes with the structured nature of QC codes, which allows for very compact representations. This, together with the high number of equivalent codes, makes these codes well suited for cryptographic applications. This chapter addresses the design of these codes, as well as the estimation of the number of different codes having the same parameters.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

QC-LDPC Code-Based CryptographyQuasi-Cyclic Low-Density Parity-Check Codes

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2014
ISBN
978-3-319-02555-1
Pages
41 –63
DOI
10.1007/978-3-319-02556-8_4
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter, we describe the main characteristics of a hybrid class of codes which are both quasi-cyclic (QC) and low-density parity-check (LDPC) codes. They join the powerful error correcting performance of LDPC codes with the structured nature of QC codes, which allows for very compact representations. This, together with the high number of equivalent codes, makes these codes well suited for cryptographic applications. This chapter addresses the design of these codes, as well as the estimation of the number of different codes having the same parameters.]

Published: May 3, 2014

Keywords: QC-LDPC codes; QC-MDPC codes; Difference families; Equivalent codes

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