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Irregular low-density parity check (LDPC) codes are particularly well-suited for transmission schemes that require unequal error protection (UEP) of the transmitted data due to the different connection degrees of its variable nodes.…

Information Theory · Computer Science 2011-02-01 H. V. Beltrao Neto , W. Henkel , V. C. da Rocha

Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where…

Quantum Physics · Physics 2020-10-07 Vincent Martin , Alain Sarlette

Fountain codes like LT or Raptor codes, also known as rateless erasure codes, allow to encode a message as some number of packets, such that any large enough subset of these packets is sufficient to fully reconstruct the message. It…

Information Theory · Computer Science 2015-08-19 Jarek Duda

In this paper, we represent Raptor codes as multi-edge type low-density parity-check (MET-LDPC) codes, which gives a general framework to design them for higher-order modulation using MET density evolution. We then propose an efficient…

Information Theory · Computer Science 2017-01-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Sarah J. Johnson

A new coding scheme for image transmission over noisy channel is proposed. Similar to standard image compression, the scheme includes a linear transform followed by successive refinement scalar quantization. Unlike conventional schemes, in…

Information Theory · Computer Science 2012-10-03 Ozgun Y. Bursalioglu , Giuseppe Caire , Dariush Divsalar

Raptor codes have been widely used in many multimedia broadcast/multicast applications. However, our understanding of Raptor codes is still incomplete due to the insufficient amount of theoretical work on the performance analysis of Raptor…

Information Theory · Computer Science 2015-01-30 Peng Wang , Guoqiang Mao , Zihuai Lin , Ming Ding , Weifa Liang , Xiaohu Ge , Zhiyun Lin

In this paper upper and lower bounds on the probability of decoding failure under maximum likelihood decoding are derived for different (nonbinary) Raptor code constructions. In particular four different constructions are considered; (i)…

Information Theory · Computer Science 2021-01-08 Francisco Lázaro , Gianluigi Liva , Gerhard Bauch , Enrico Paolini

In this paper, we present a new family of fountain codes which overcome adversarial errors. That is, we consider the possibility that some portion of the arriving packets of a rateless erasure code are corrupted in an undetectable fashion.…

Information Theory · Computer Science 2011-11-29 Asaf Cohen , Shlomi Dolev , Nir Tzachar

This paper proposes a novel scheme, based on progressive fountain codes, for broadcasting JPEG 2000 multimedia. In such a broadcast scheme, progressive resolution levels of images/video have been unequally protected when transmitted using…

Information Theory · Computer Science 2017-08-16 Zhao Chen , Mai Xu , Luiguo Yin , Jianhua Lu

An information theoretic framework for unequal error protection is developed in terms of the exponential error bounds. The fundamental difference between the bit-wise and message-wise unequal error protection (UEP) is demonstrated, for…

Information Theory · Computer Science 2020-01-03 Shashi Borade , Baris Nakiboglu , Lizhong Zheng

When multiple sources of data need to transmit their rateless coded symbols through a single relay to a common destination, a distributed rateless code instead of several separate conventional rateless codes can be employed to encode the…

Information Theory · Computer Science 2010-06-08 Ali Talari , Nazanin Rahnavard

In this work we explore possibilities for coding when information worlds have different (semantic) values. We introduce a loss function that expresses the overall performance of a coding scheme for discrete channels and exchange the usual…

Information Theory · Computer Science 2015-03-19 Marcelo Firer , Luciano Panek , Laura Rifo

Erasures are the primary type of errors in physical systems dominated by leakage errors. While quantum error correction (QEC) using stabilizer codes can combat erasure errors, it remains unknown which constructions achieve capacity…

Quantum Physics · Physics 2026-05-05 Kao-Yueh Kuo , Yingkai Ouyang

In this paper q-ary Raptor codes under ML decoding are considered. An upper bound on the probability of decoding failure is derived using the weight enumerator of the outer code, or its expected weight enumerator if the outer code is drawn…

Information Theory · Computer Science 2016-11-21 Francisco Lázaro , Gianluigi Liva , Enrico Paolini , Gerhard Bauch

Quantum error correction (QEC) is critical for scalable fault-tolerant quantum computing. Topological codes, such as the toric code, offer hardware-efficient architectures but their Tanner graphs contain many girth-4 cycles that degrade the…

Quantum Physics · Physics 2026-03-24 Luca Menti , Francisco Lázaro

Quantum error correction (QEC) for fault-tolerant quantum computing requires a balanced decoding solution that offers high performance, low complexity, and low latency. However, the de facto standard, belief propagation (BP) combined with…

Quantum Physics · Physics 2026-05-04 Hee-Youl Kwak , Seong-Joon Park , Hyunwoo Jung , Jeongseok Ha , Jae-Won Kim

In B5G edge networks, end-to-end low-latency and high-reliability transmissions between edge computing nodes and terminal devices are essential. This paper investigates the queue-aware coding scheduling transmission of randomly arriving…

Networking and Internet Architecture · Computer Science 2024-02-02 Zhongfu Guo , Xinsheng Ji , Wei You , Mingyan Xu , Yu Zhao , Zhimo Cheng , Deqiang Zhou

A video-aware unequal loss protection (ULP) system for protecting RTP video streaming in bursty packet loss networks is proposed. Considering the relevance of the frame, the state of the channel, and the bitrate constraints of the…

Image and Video Processing · Electrical Eng. & Systems 2024-02-08 César Díaz , Julián Cabrera , Fernando Jaureguizar , Narciso García

Quantum teleportation is a foundational protocol for sending quantum information through entanglement distribution and classical communication. Assuming ideal classical communication, the reliability of quantum teleportation is limited by…

Quantum information needs to be protected by quantum error-correcting codes due to imperfect physical devices and operations. One would like to have an efficient and high-performance decoding procedure for the class of quantum stabilizer…

Quantum Physics · Physics 2023-07-18 Kao-Yueh Kuo , Ching-Yi Lai