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We analyze nonbinary spatially-coupled low-density parity-check (SC-LDPC) codes built on the general linear group for transmission over the binary erasure channel. We prove threshold saturation of the belief propagation decoding to the…

Information Theory · Computer Science 2014-07-23 Alexandre Graell i Amat , Iryna Andriyanova , Amina Piemontese

A joint scheme for the channel coding and spectrum spreading communication system is proposed in this paper. The Bit Error Rate (BER) performance of the joint proposed scheme is evaluated and compared with the case of channel coding scheme…

Information Theory · Computer Science 2021-08-24 Hadi Khodaei Jooshin , Mahdi Nangir

In this letter, we explore the performance limits of short polar codes and find that the maximum likelihood (ML) performance of a simple CRC-polar concatenated scheme can approach the finite blocklength capacity. Then, in order to approach…

Information Theory · Computer Science 2019-10-09 Jinnan Piao , Kai Niu , Jincheng Dai , Chao Dong

Polarization-adjusted convolutional (PAC) codes were recently proposed and arouse the interest of the channel coding community because they were shown to approach theoretical bounds for the (128,64) code size. In this letter, we propose…

Information Theory · Computer Science 2020-11-09 Thibaud Tonnellier , Warren J. Gross

We consider the multi-antenna wiretap channel in which the transmitter wishes to send a confidential message to its receiver while keeping it secret to the eavesdropper. It has been known that the secrecy capacity of such a channel does not…

Information Theory · Computer Science 2016-11-17 Mari Kobayashi , Pablo Piantanida , Sheng Yang , Shlomo Shamai

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages to two receivers, while a wire-tapper also receives the transmitted signal. This model is motivated by wireless communications, where…

Information Theory · Computer Science 2009-10-20 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

We give a complete characterization of the correlated random coding secrecy capacity of arbitrarily varying wiretap channels (AVWCs). We apply two alternative strong secrecy criteria, which both lead to the same multi-letter formula. The…

Information Theory · Computer Science 2016-11-17 Moritz Wiese , Janis Nötzel , Holger Boche

This work concerns the behavior of "good" (capacity achieving) codes in several multi-user settings in the Gaussian regime, in terms of their minimum mean-square error (MMSE) behavior. The settings investigated in this context include the…

Information Theory · Computer Science 2015-02-26 Ronit Bustin , Rafael F. Schaefer , H. Vincent Poor , Shlomo Shamai

Reliable communication imposes an upper limit on the achievable rate, namely the Shannon capacity. Wyner's wiretap coding, which ensures a security constraint also, in addition to reliability, results in decrease of the achievable rate. To…

Information Theory · Computer Science 2017-02-14 Shahid M. Shah , Vinod Sharma

In this paper, we consider the broadcast channel with confidential messages and external eavesdroppers (BCCE), where a multi-antenna base station simultaneously communicates to multiple potentially malicious users, in the presence of…

Information Theory · Computer Science 2013-06-11 Giovanni Geraci , Sarabjot Singh , Jeffrey G. Andrews , Jinhong Yuan , Iain B. Collings

It is known that a message can be transmitted safely against any wiretapper via a noisy channel without a secret key if the coding rate is less than the so-called secrecy capacity $C_S$, which is usually smaller than the channel capacity…

Information Theory · Computer Science 2007-07-16 Daisuke Kobayashi , Hirosuke Yamamoto , Tomohiro Ogawa

We consider block codes for degraded wiretap channels in which the legitimate receiver decodes the message with an asymptotic error probability no larger than $\varepsilon$ but the leakage to the eavesdropper vanishes. For discrete…

Information Theory · Computer Science 2014-09-29 Vincent Y. F. Tan , Matthieu R. Bloch

We consider the $2^n$ channels synthesized by the $n$-fold application of Ar\i{}kan's polar transform to a binary erasure channel (BEC). The synthetic channels are BECs themselves, and we show that, asymptotically for almost all these…

Information Theory · Computer Science 2016-02-15 Mani Bastani Parizi , Emre Telatar

In this paper, the duality of erasures and defects will be investigated by comparing the binary erasure channel (BEC) and the binary defect channel (BDC). The duality holds for channel capacities, capacity achieving schemes, minimum…

Information Theory · Computer Science 2019-12-25 Yongjune Kim , B V K Vijaya Kumar

An upper bound to the identification capacity of discrete memoryless wiretap channels is derived under the requirement of semantic effective secrecy, combining semantic secrecy and stealth constraints. A previously established lower bound…

Information Theory · Computer Science 2023-06-27 Johannes Rosenberger , Abdalla Ibrahim , Boulat A. Bash , Christian Deppe , Roberto Ferrara , Uzi Pereg

In this paper, we propose a systematic design of space-time block codes (STBC) which can achieve high rate and full diversity when the partial interference cancellation (PIC) group decoding is used at receivers. The proposed codes can be…

Information Theory · Computer Science 2010-04-19 Long Shi , Wei Zhang , Xiang-Gen Xia

The K-receiver wiretap channel is a channel model where a transmitter broadcasts K independent messages to K intended receivers while keeping them secret from an eavesdropper. The capacity region of the K-receiver multiple-input…

Information Theory · Computer Science 2023-04-04 Yue Qi , Mojtaba Vaezi , H. Vincent Poor

A new single-letter achievable rate region is proposed for the two-user discrete memoryless multiple-access channel(MAC) with noiseless feedback. The proposed region includes the Cover-Leung rate region [1], and it is shown that the…

Information Theory · Computer Science 2014-03-31 Ramji Venkataramanan , S. Sandeep Pradhan

In this paper, we investigate the optimal tradeoff between source and channel coding for channels with bit or packet erasure. Upper and Lower bounds on the optimal channel coding rate are computed to achieve minimal end-to-end distortion.…

Information Theory · Computer Science 2007-07-13 Sriram N. Kizhakkemadam , Panos Papamichalis , Mandyam Srinath , Dinesh Rajan

In this work the arbitrarily varying wiretap channel AVWC is studied. We derive a lower bound on the random code secrecy capacity for the average error criterion and the strong secrecy criterion in the case of a best channel to the…

Information Theory · Computer Science 2012-09-25 Igor Bjelaković , Holger Boche , Jochen Sommerfeld