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In this paper, we evaluate the efficacy, in a Hadoop setting, of two coding schemes, both possessing an inherent double replication of data. The two coding schemes belong to the class of regenerating and locally regenerating codes…

Heterogeneous Distributed Storage Systems (DSSs) are close to the real world applications for data storage. Each node of the considered DSS, may store different number of packets and each having different repair bandwidth with uniform…

Information Theory · Computer Science 2016-07-22 Krishna Gopal Benerjee , Manish K. Gupta

Erasure correcting codes are widely used to ensure data persistence in distributed storage systems. This paper addresses the simultaneous repair of multiple failures in such codes. We go beyond existing work (i.e., regenerating codes by…

Information Theory · Computer Science 2013-09-18 Anne-Marie Kermarrec , Gilles Straub , Nicolas Le Scouarnec

We propose a new decentralized coded caching scheme for a two-phase caching network, where the data placed in user caches in the prefetching phase are random portions of a maximal distance separable (MDS) coded version of the original…

Information Theory · Computer Science 2018-06-27 Yi-Peng Wei , Sennur Ulukus

We address the use of maximum distance separable (MDS) codes for distributed storage (DS) to enable efficient content delivery in wireless networks. Content is stored in a number of the mobile devices and can be retrieved from them using…

Information Theory · Computer Science 2016-08-30 Amina Piemontese , Alexandre Graell i Amat

Maximum distance separable (MDS) codes have the optimal trade-off between storage efficiency and fault tolerance, which are widely used in distributed storage systems. As typical non-MDS codes, simple regenerating codes (SRCs) can achieve…

Information Theory · Computer Science 2023-09-06 Zhengyi Jiang , Hao Shi , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

DNA, with remarkable properties of high density, durability, and replicability, is one of the most appealing storage media. Emerging DNA storage technologies use composite DNA letters, where information is represented by probability…

Information Theory · Computer Science 2025-03-26 Wenkai Zhang , Zhiying Wang

Harmonic generation during radio frequency (RF)-dc conversion causes performance degradation of a microwave rectifying circuit. To suppress and recycle the harmonic power, this letter proposes a novel compact dual-band resonator (DBR) based…

Applied Physics · Physics 2026-01-06 Pengde Wu , Hao Wu , Yi-Dan Chen , Zhi Hua Ren , Yuhua Cheng , Changjun Liu

Duadic group algebra codes are a generalization of quadratic residue codes. This paper settles an open problem raised by Zhu concerning the existence of duadic group algebra codes. These codes can be used to construct degenerate quantum…

Information Theory · Computer Science 2007-07-13 Salah A. Aly , Andreas Klappenecker , Pradeep Kiran Sarvepalli

Binary cyclic codes have been a hot topic for many years, and significant progress has been made in the study of this types of codes. As is well known, it is hard to construct infinite families of binary cyclic codes [n, n+1/2] with good…

Information Theory · Computer Science 2024-04-30 Tingting Wu , Lanqiang Li , Xiuyu Zhang , Shixin Zhu

Private Information Retrieval (PIR) schemes allow a user to retrieve a record from the server without revealing any information on which record is being downloaded. In this paper, we consider PIR schemes where the database is stored using…

Information Theory · Computer Science 2018-05-21 Chatdanai Dorkson , Siaw-Lynn Ng

Generalized Bicycle (GB) codes offer a compelling alternative to surface codes for quantum error correction. This paper focuses on (2,2)-Generalized Bicycle codes, constructed from pairs of binary circulant matrices with two non-zero…

Information Theory · Computer Science 2025-07-30 François Arnault , Philippe Gaborit , Nicolas Saussay

In modern practical data centers, storage nodes are usually organized into equally sized groups, which is called racks. The cost of cross-rack communication is much more expensive compared with the intra-rack communication cost. The codes…

Information Theory · Computer Science 2019-11-20 Lingfei Jin , Gaojun Luo , Chaoping Xing

We describe a strategy for constructing codes for DNA-based information storage by serial composition of weighted finite-state transducers. The resulting state machines can integrate correction of substitution errors; synchronization by…

Information Theory · Computer Science 2016-11-18 Ian Holmes

Regenerating codes are a class of recently developed codes for distributed storage that, like Reed-Solomon codes, permit data recovery from any subset of k nodes within the n-node network. However, regenerating codes possess in addition,…

Information Theory · Computer Science 2015-03-17 Nihar B. Shah , K. V. Rashmi , P. Vijay Kumar , Kannan Ramchandran

This paper presents a novel achievable scheme for coded caching systems with $N$ files and $K$ users, specifically when $N \leq K$. This new scheme employs linear coding both during the placement phase - where cache contents are linear…

Information Theory · Computer Science 2024-06-11 Yinbin Ma , Daniela Tuninetti

Recursive list decoding is considered for Reed-Muller (RM) codes. The algorithm repeatedly relegates itself to the shorter RM codes by recalculating the posterior probabilities of their symbols. Intermediate decodings are only performed…

Information Theory · Computer Science 2017-03-17 Ilya Dumer , Kirill Shabunov

Low complexity error correction code is a key enabler for next generation ultra-reliable low-latency communications (xURLLC) in six generation (6G). Against this background, this paper proposes a decoding scheme for linear block code by…

Signal Processing · Electrical Eng. & Systems 2025-12-11 Di Zhang , Yinglei Yang , Zilong Liu , Shaobo Jia , Kyungchun Lee , Zhirong Zhang

Two new qubit stabilizer codes with parameters $[77, 0, 19]_2$ and $[90, 0, 22]_2$ are constructed for the first time by employing additive symplectic self-dual $\F_4$ codes from multidimensional circulant (MDC) graphs. We completely…

Information Theory · Computer Science 2023-09-06 Padmapani Seneviratne , Hannah Cuff , Alexandra Koletsos , Kerry Seekamp , Adrian Thnanopavarn

Z-complementary code sets (ZCCSs) are used in multicarrier code-division multiple access (MC-CDMA) systems, for interference-free communication over multiuser and quasi-asynchronous environments. In this letter, we propose three new…

Information Theory · Computer Science 2023-02-23 Gobinda Ghosh , Sudhan Majhi , Shubabrata Paul
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