摘要: In this chapter, the use of QC-LDPC codes in public key cryptosystems inspired to McEliece and Niederreiter systems is studied. Both case which private code are permutation equivalent that such an equivalence absent considered. It shown kind may expose system new attacks, can be very dangerous if not suitably designed. The countermeasures used against these attacks described, some practical instances code-based achieving specific security levels provided. chance also digital signature schemes symmetric briefly discussed.
springer.com
sci-hub.st 参考文章(26)
Anja Becker, Antoine Joux, Alexander May, Alexander Meurer, Decoding Random Binary Linear Codes in 2 n/20: How 1 + 1 = 0 Improves Information Set Decoding Advances in Cryptology – EUROCRYPT 2012. pp. 520- 536 ,(2012) , 10.1007/978-3-642-29011-4_31
Ángela I. Barbero, Øyvind Ytrehus, Modifications of the Rao-Nam Cryptosystem Springer, Berlin, Heidelberg. pp. 1- 12 ,(2000) , 10.1007/978-3-642-57189-3_1
Marco Baldi, Quasi-cyclic low density parity-check codes and their application to cryptography Università Politecnica delle Marche. ,(2012)
Marco Baldi, Marco Bianchi, Franco Chiaraluce, Joachim Rosenthal, Davide Schipani, Using LDGM Codes and Sparse Syndromes to Achieve Digital Signatures Lecture Notes in Computer Science. ,vol. 7932, pp. 1- 15 ,(2013) , 10.1007/978-3-642-38616-9_1
Franco Chiaraluce, Marco Bianchi, Marco Baldi, Security and complexity of the McEliece cryptosystem based on QC-LDPC codes arXiv: Cryptography and Security. ,(2011) , 10.1049/IET-IFS.2012.0127
Nicolas Sendrier, Decoding One Out of Many Post-Quantum Cryptography. pp. 51- 67 ,(2011) , 10.1007/978-3-642-25405-5_4
Rafael Misoczki, Jean-Pierre Tillich, Nicolas Sendrier, Paulo S. L. M. Barreto, MDPC-McEliece: New McEliece variants from Moderate Density Parity-Check codes international symposium on information theory. pp. 2069- 2073 ,(2013) , 10.1109/ISIT.2013.6620590
Marco Baldi, Franco Chiaraluce, Cryptanalysis of a new instance of McEliece cryptosystem based on QC-LDPC Codes international symposium on information theory. pp. 2591- 2595 ,(2007) , 10.1109/ISIT.2007.4557609
Christiane Peters, Information-Set Decoding for Linear Codes over F q Post-Quantum Cryptography. pp. 81- 94 ,(2010) , 10.1007/978-3-642-12929-2_7
A.A. Sobhi Afshar, T. Eghlidos, M.R. Aref, Efficient secure channel coding based on quasi-cyclic low-density parity-check codes Iet Communications. ,vol. 3, pp. 279- 292 ,(2009) , 10.1049/IET-COM:20080050