A Joint Encryption, Channel Coding and Modulation Scheme Using QC-LDPC Lattice-Codes

We propose a new nonlinear Rao-Nam like symmetric key encryption scheme. In our design, we employ a specific type of coded modulation schemes namely quasi-cyclic low-density parity-check (QC-LDPC) lattice-codes which have low-complexity encoding and decoding algorithms. Due to the application of cod...

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Vydáno v:IEEE transactions on communications Ročník 68; číslo 8; s. 4673 - 4693
Hlavní autoři: Bagheri, Khadijeh, Eghlidos, Taraneh, Sadeghi, Mohammad-Reza, Panario, Daniel, Khodaiemehr, Hassan
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.08.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Algorithms
Channel coding
Channels
Chosen plaintext attack
Coded modulation
Codes
Computer simulation
Computer systems
Cryptography
Data transmission
Decoding
Encryption
Error correcting codes
Joint encryption-encoding scheme
Lattice design
Lattices
LDPC lattice
Mathematical analysis
Matrix algebra
Matrix methods
Modulation
Nonlinearity
Parity
Permutations
QC-LDPC lattice-code
Quadrature amplitude modulation
Random noise
Rao-Nam cryptosystem
Symmetric key cryptosystem
ISSN:0090-6778, 1558-0857
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Popis
Shrnutí:We propose a new nonlinear Rao-Nam like symmetric key encryption scheme. In our design, we employ a specific type of coded modulation schemes namely quasi-cyclic low-density parity-check (QC-LDPC) lattice-codes which have low-complexity encoding and decoding algorithms. Due to the application of coded modulation schemes in our design, the proposed scheme performs encryption, encoding and modulation simultaneously. Therefore, we regard the proposed scheme as a joint cryptosystem . The proposed joint cryptosystem withstands all variants of chosen plaintext attacks applied on Rao-Nam like cryptosystems due to its nonlinearity. Moreover, some conditions implying the uniformity of the ciphertexts distribution are introduced through our analysis. Our scheme is efficient and admits small key size. These features are obtained due to several reasons including the quasi-cyclic form of the generator and the parity-check matrices of QC-LDPC lattice-codes, and the simple hardware structure for generating the permutation matrix, the intentional error vector and the nonlinear functions used in our design. The QC-LDPC lattice-codes facilitate high-rate transmission which is suitable for bandlimited AWGN channels. Our simulations indicate that QC-LDPC lattice-codes outperform the error performance of high-order coded modulation schemes based on QAM modulations. Hence, our scheme provides secure, reliable and efficient data transmission in bandlimited AWGN channels.
Bibliografie:ObjectType-Article-1
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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2020.2996781