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We propose a technique to design finite-length irregular low-density parity-check (LDPC) codes over the binary-input additive white Gaussian noise (AWGN) channel with good performance in both the waterfall and the error floor region. The…

Information Theory · Computer Science 2016-11-17 Reza Asvadi , Amir H. Banihashemi , Mahmoud Ahmadian-Attari

Lattice codes with optimal decoding coefficient are capacity-achieving when dimension $N \rightarrow \infty$. In communications systems, finite dimensional lattice codes are considered, where the optimal decoding coefficients may still fail…

Information Theory · Computer Science 2025-01-09 Jiajie Xue , Brian M. Kurkoski

Lattices have many significant applications in cryptography. In 2021, the $p$-adic signature scheme and public-key encryption cryptosystem were introduced. They are based on the Longest Vector Problem (LVP) and the Closest Vector Problem…

Cryptography and Security · Computer Science 2025-03-24 Chi Zhang

Cryptography is always very important in data origin authentications, entity authentication, data integrity and confidentiality. In recent years, a variety of chaotic cryptographic schemes have been proposed. These schemes have typical…

Cryptography and Security · Computer Science 2012-02-08 Sodeif Ahadpour , Yaser Sadra , Zahra ArastehFard

In this paper, we propose a framework of the mutual information-maximizing (MIM) quantized decoding for low-density parity-check (LDPC) codes by using simple mappings and fixed-point additions. Our decoding method is generic in the sense…

Information Theory · Computer Science 2022-02-15 Peng Kang , Kui Cai , Xuan He , Shuangyang Li , Jinhong Yuan

Quasi-cyclic (QC) low-density parity-check (LDPC) codes are a class of LDPC codes with a simple construction facilitating hardware implementation while achieving excellent performance. In this paper, we introduce an algorithm that…

Information Theory · Computer Science 2025-07-15 Haizheng Li , Sisi Miao , Laurent Schmalen

Lattice-based Cryptography is considered to have the characteristics of classical computers and quantum attack resistance. We will design various graphic lattices and matrix lattices based on knowledge of graph theory and topological…

Information Theory · Computer Science 2020-05-11 Bing Yao

The majority of modern communication systems adopts quadrature amplitude modulation (QAM) constellations as transmission schemes. Due to their square structure, however, QAM do not provide satisfying protection to phase noise effects as the…

Information Theory · Computer Science 2018-12-07 Paul Ferrand , Marco Maso , Valerio Bioglio

We consider a mobile edge computing scenario where users want to perform a linear inference operation $\boldsymbol{W} \boldsymbol{x}$ on local data $\boldsymbol{x}$ for some network-side matrix $\boldsymbol{W}$. The inference is performed…

Information Theory · Computer Science 2021-08-18 Anton Frigård , Siddhartha Kumar , Eirik Rosnes , Alexandre Graell i Amat

This paper addresses point-to-point communication over block-fading channels with independent fading blocks. When both channel state information at the transmitter (CSIT) and receiver (CSIR) are available, most achievable schemes use…

Information Theory · Computer Science 2018-08-28 Ahmed Hindy , Aria Nosratinia

In this paper, we use the hardness of quantization over general lattices as the basis of developing a physical layer secrecy system. Assuming that the channel state observed by the legitimate receiver and the eavesdropper are distinct, this…

Information Theory · Computer Science 2011-09-29 Fabio Fernandes , Sriram Vishwanath

This paper proposes three different chaotic encryption methods using 1-D chaotic map known as Logistic map named as Logistic, NLFSR and Modified NLFSR according to the name of chaotic map and non-linear function involved in the scheme. The…

Cryptography and Security · Computer Science 2013-12-17 Mina Mishra , Vijay H. Mankar

Modern information communications use cryptography to keep the contents of communications confidential. RSA (Rivest-Shamir-Adleman) cryptography and elliptic curve cryptography, which are public-key cryptosystems, are widely used…

Cryptography and Security · Computer Science 2023-10-09 Yuri Lucas Direbieski , Hiroki Tanioka , Kenji Matsuura , Hironori Takeuchi , Masahiko Sano , Tetsushi Ueta

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

Information Theory · Computer Science 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

An algorithm is proposed to encode low-density parity-check (LDPC) codes into codewords with a non-uniform distribution. This enables power-efficient signalling for asymmetric channels. We show gains of 0.9 dB for additive white Gaussian…

Information Theory · Computer Science 2023-05-24 Thomas Wiegart , Linfang Wang , Diego Lentner , Richard D. Wesel

We consider a low-complexity version of the Compute and Forward scheme that involves only scaling, offset (dithering removal) and scalar quantization at the relays. The proposed scheme is suited for the uplink of a distributed antenna…

Information Theory · Computer Science 2011-09-06 Song-Nam Hong , Giuseppe Caire

This paper studies Gaussian Two-Way Relay Channel where two communication nodes exchange messages with each other via a relay. It is assumed that all nodes operate in half duplex mode without any direct link between the communication nodes.…

Information Theory · Computer Science 2016-11-17 Sinda Smirani , Mohamed Kamoun , Mireille Sarkiss , Abdellatif Zaidi , Pierre Duhamel

Confidentiality and Integrity are two paramount objectives in the evaluation of information and communication technology. In this paper, we propose an arithmetic approach for designing asymmetric key cryptography. Our method is based on the…

Cryptography and Security · Computer Science 2020-05-18 Md. Helal Ahmed , Jagmohan Tanti , Sumant Pushp

This paper considers the multi-antenna multiple access relay channel (MARC), in which multiple users transmit messages to a common destination with the assistance of a relay. In a variety of MARC settings, the dynamic decode and forward…

Information Theory · Computer Science 2013-01-08 Chung-Pi Lee , Shih-Chun Lin , Hsuan-Jung Su , H. Vincent Poor

We propose two main contributions: first, we revisit the encryption scheme Rank Quasi-Cyclic (RQC) by introducing new efficient variations, in particular, a new class of codes, the Augmented Gabidulin codes; second, we propose new attacks…

Cryptography and Security · Computer Science 2022-07-05 Loïc Bidoux , Pierre Briaud , Maxime Bros , Philippe Gaborit