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Discrete time crystals (DTCs) are nonequilibrium phases of matter with exotic observable dynamics. Among their remarkable features is their response to a periodic drive at a fraction of its frequency. Current successful experiments are…

Quantum Physics · Physics 2021-11-30 Raditya Weda Bomantara

Turbo codes and CRC codes are usually decoded separately according to the serially concatenated inner codes and outer codes respectively. In this letter, we propose a hybrid decoding algorithm of turbo-CRC codes, where the outer codes, CRC…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Yuejun Wei , Ming Jiang , Wen Chen , Yuhang Yang

For finite coupling lengths, terminated spatially coupled low-density parity-check (SC-LDPC) codes show a non-negligible rate-loss. In this paper, we investigate if this rate loss can be mitigated by tail-biting SC-LDPC codes in conjunction…

Information Theory · Computer Science 2017-04-19 Sebastian Cammerer , Laurent Schmalen , Vahid Aref , Stephan ten Brink

Spatially coupled, parallel concatenated codes (SC-PCCs) have been shown to approach channel capacity when decoded using optimal iterative methods. However, under complexity constraints such decoding strategies can result in unacceptable…

Information Theory · Computer Science 2021-09-07 Andrew D. Cummins , David G. M. Mitchell , Daniel J. Costello,

In this paper, we investigate the impact of spatial coupling on the thresholds of turbo-like codes. Parallel concatenated and serially concatenated convolutional codes as well as braided convolutional codes (BCCs) are compared by means of…

Information Theory · Computer Science 2014-07-03 Michael Lentmaier , Saeedeh Moloudi , Alexandre Graell i Amat

Spatially coupled turbo-like codes (SC-TCs) have been shown to have excellent decoding thresholds due to the threshold saturation effect. Furthermore, even for moderate block lengths, simulation results demonstrate very good bit error rate…

Information Theory · Computer Science 2018-04-06 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

It has been observed that particular rate-1/2 partially systematic parallel concatenated convolutional codes (PCCCs) can achieve a lower error floor than that of their rate-1/3 parent codes. Nevertheless, good puncturing patterns can only…

Information Theory · Computer Science 2016-11-18 Ioannis Chatzigeorgiou , Miguel R. D. Rodrigues , Ian J. Wassell , Rolando Carrasco

As wireless communication systems look intently to compose the transition from voice communication to interactive Internet data, achieving higher bit rates becomes both increasingly desirable and challenging. Space-time coding (STC) is a…

Information Theory · Computer Science 2010-04-13 C. V. Seshaiah , S. Nagarani

We study the design of spectrally efficient fiber-optical communication systems based on different spatially coupled (SC) forward error correction (FEC) schemes. In particular, we optimize the allocation of the coded bits from the FEC…

Information Theory · Computer Science 2024-01-30 Christian Häger , Alexandre Graell i Amat , Fredrik Brännström , Alex Alvarado , Erik Agrell

In this work novel results concerning Network-on-Chip-based turbo decoder architectures are presented. Stemming from previous publications, this work concentrates first on improving the throughput by exploiting adaptive-bandwidth reduction…

Hardware Architecture · Computer Science 2011-05-06 Maurizio Martina , Guido Masera

Binary turbo product codes (TPCs) are powerful error-correcting codes constructed from short component codes. Traditionally, turbo product decoding passes log likelihood ratios (LLRs) between the component decoders, inherently losing…

Information Theory · Computer Science 2025-11-12 Lukas Rapp , Muriel Médard , Ken R. Duffy

The paper provides a new perspective on peak- and average-constrained Gaussian channels. Such channels model optical wireless communication (OWC) systems which employ intensity-modulation with direct detection (IM/DD). First, the paper…

Information Theory · Computer Science 2023-03-20 Sarah Bahanshal , Ahmad Abdel-Qader , Anas Chaaban

We consider error-correction coding schemes for adversarial wiretap channels (AWTCs) in which the channel can a) read a fraction of the codeword bits up to a bound $r$ and b) flip a fraction of the bits up to a bound $p$. The channel can…

Information Theory · Computer Science 2023-07-13 Eric Ruzomberka , Homa Nikbakht , Christopher G. Brinton , H. Vincent Poor

We propose non-binary LDPC codes concatenated with multiplicative repetition codes. By multiplicatively repeating the (2,3)-regular non-binary LDPC mother code of rate 1/3, we construct rate-compatible codes of lower rates 1/6, 1/9,…

Information Theory · Computer Science 2011-07-14 Kenta Kasai , David Declercq , Charly Poulliat , Kohichi Sakaniwa

Distributed computing frameworks such as MapReduce and Spark are often used to process large-scale data computing jobs. In wireless scenarios, exchanging data among distributed nodes would seriously suffer from the communication bottleneck…

Information Theory · Computer Science 2023-10-25 Youlong Wu , Zhenhao Huang , Kai Yuan , Shuai Ma , Yue Bi

We introduce {\bf complementary information set codes} of higher-order. A binary linear code of length $tk$ and dimension $k$ is called a complementary information set code of order $t$ ($t$-CIS code for short) if it has $t$ pairwise…

Information Theory · Computer Science 2014-06-19 Claude Carlet , Finley Freibert , Sylvain Guilley , Michael Kiermaier , Jon-Lark Kim , Patrick Solé

Design criteria and full-diversity Distributed Space Time Codes (DSTCs) for the two phase transmission based cooperative diversity protocol of Jing-Hassibi and the Generalized Nonorthogonal Amplify and Forward (GNAF) protocol are reported,…

Information Theory · Computer Science 2007-07-13 G. Susinder Rajan , B. Sundar Rajan

Polar codes were introduced in 2009 and proven to achieve the symmetric capacity of any binary-input discrete memoryless channel under low-complexity successive cancellation decoding. In this thesis, we construct cyclic polar codes based on…

Information Theory · Computer Science 2020-04-16 Narayanan Rengaswamy

It has been widely observed that there exists a fundamental trade-off between the minimum (Hamming) distance properties and the iterative decoding convergence behavior of turbo-like codes. While capacity achieving code ensembles typically…

We consider the problem of communication over a three user discrete memoryless interference channel ($3-$IC). The current known coding techniques for communicating over an arbitrary $3-$IC are based on message splitting, superposition…

Information Theory · Computer Science 2022-03-02 Arun Padakandla , Aria G. Sahebi , S. Sandeep Pradhan