EAN: 9783319025551

SPRINGERBRIEFS IN ELECTRICAL AND COMPUTER ENGIN...

This book describes the fundamentals of cryptographic primitives based on quasi-cyclic
low-density parity-check (QC-LDPC) codes  with a special focus on the use of these codes in
public-key cryptosystems derived from the McEliece and Niederreiter schemes. In the first part
of the book  the main characteristics of QC-LDPC codes are reviewed  and several techniques for
their design are presented  while tools for assessing the error correction performance of these
codes are also described. Some families of QC-LDPC codes that are best suited for use in
cryptography are also presented. The second part of the book focuses on the McEliece and
Niederreiter cryptosystems  both in their original forms and in some subsequent variants. The
applicability of QC-LDPC codes in these frameworks is investigated by means of theoretical
analyses and numerical tools  in order to assess their benefits and drawbacks in terms of
system efficiency and security. Several examples of QC-LDPC code-based public key cryptosystems
are presented  and their advantages over classical solutions are highlighted. The possibility
of also using QC-LDPC codes in symmetric encryption schemes and digital signature algorithms is
also briefly examined.

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