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Related papers: Multiply Constant-Weight Codes and the Reliability…

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Multiply constant-weight codes (MCWCs) have been recently studied to improve the reliability of certain physically unclonable function response. In this paper, we give combinatorial constructions for MCWCs which yield several new infinite…

Information Theory · Computer Science 2014-11-11 Yeow Meng Chee , Han Mao Kiah , Hui Zhang , Xiande Zhang

Multiply constant-weight codes (MCWCs) were introduced recently to improve the reliability of certain physically unclonable function response. In this paper, the bounds of MCWCs and the constructions of optimal MCWCs are studied. Firstly,…

Information Theory · Computer Science 2015-12-29 Xin Wang , Hengjia Wei , Chong Shangguan , Gennian Ge

Physical Unclonable Functions evaluate manufacturing variations to generate secure cryptographic keys for embedded systems without secure key storage. It is explained how methods from coding theory are applied in order to ensure reliable…

Information Theory · Computer Science 2015-01-28 Sven Puchinger , Sven Müelich , Martin Bossert , Matthias Hiller , Georg Sigl

We demonstrate that certain Johnson-type bounds are asymptotically exact for a variety of classes of codes, namely, constant-composition codes, nonbinary constant-weight codes and multiply constant-weight codes. This was achieved via an…

Combinatorics · Mathematics 2014-01-21 Yeow Meng Chee , Fei Gao , Han Mao Kiah , Alan Chi Hung Ling , Hui Zhang , Xiande Zhang

Physical Unclonable Functions can be used for secure key generation in cryptographic applications. It is explained how methods from coding theory must be applied in order to ensure reliable key regeneration. Based on previous work, we show…

Information Theory · Computer Science 2014-07-31 Sven Müelich , Sven Puchinger , Martin Bossert , Matthias Hiller , Georg Sigl

In this paper, we consider the generation and utilization of helper data for physical unclonable functions (PUFs) that provide real-valued readout symbols. Compared to classical binary PUFs, more entropy can be extracted from each basic…

Information Theory · Computer Science 2024-03-01 Robert F. H. Fischer

This paper introduces a new combinatorial construction for q-ary constant-weight codes which yields several families of optimal codes and asymptotically optimal codes. The construction reveals intimate connection between q-ary…

Information Theory · Computer Science 2007-07-13 Yeow Meng Chee , San Ling

Binary constant weight codes have important applications and have been studied for many years. Optimal or near-optimal binary constant weight codes of small lengths have been determined. In this paper we propose a new construction of…

Information Theory · Computer Science 2015-08-11 Liqing Xu , Hao Chen

We derive a general formula of the minimum achievable rate for fixed-to-variable length coding with a regular cost function by allowing the error probability up to a constant $\varepsilon$. For a fixed-to-variable length code, we call the…

Information Theory · Computer Science 2017-10-11 Hideki Yagi , Ryo Nomura

Physical Unclonable Functions (PUFs) provide hardware-level security by exploiting intrinsic randomness to produce device-unique responses. However, machine learning and side-channel attacks increasingly undermine their classical…

Quantum Physics · Physics 2025-11-04 Mohammadreza Vali , Hossein Aghababa , Nasser Yazdani

A physically unclonable function (PUF) is an electronic circuit that produces an intrinsic identifier in response to a challenge. These identifiers depend on uncontrollable variations of the manufacturing process, which make them hard to…

Information Theory · Computer Science 2019-07-15 Alexander Schaub , Olivier Rioul , Joseph , Joseph J. Boutros

We investigate the fundamental task of addition under uncertainty, namely, addends that are represented as intervals of numbers rather than single values. One potential source of such uncertainty can occur when obtaining discrete-valued…

Information Theory · Computer Science 2026-02-09 Johannes Bund , Christoph Lenzen , Moti Medina

Physical Unclonable Functions (PUFs) exploit variations in the manufacturing process to derive bit sequences from integrated circuits, which can be used as secure cryptographic keys. Instead of storing the keys in an insecure, non-volatile…

Information Theory · Computer Science 2018-01-11 Sven Müelich , Sven Puchinger , Martin Bossert

In this paper, on one hand, a class of linear codes with one or two weights is obtained. Based on these linear codes, we construct two classes of constant composition codes, which includes optimal constant composition codes depending on…

Information Theory · Computer Science 2017-06-23 Long Yu , Xiusheng Liu

The concept of group divisible codes, a generalization of group divisible designs with constant block size, is introduced in this paper. This new class of codes is shown to be useful in recursive constructions for constant-weight and…

Information Theory · Computer Science 2008-07-18 Yeow Meng Chee , Gennian Ge , Alan C. H. Ling

It is shown that a class of optical physical unclonable functions (PUFs) can be learned to arbitrary precision with arbitrarily high probability, even in the presence of noise, given access to polynomially many challenge-response pairs and…

Machine Learning · Computer Science 2023-09-08 Apollo Albright , Boris Gelfand , Michael Dixon

Constant-dimension codes have recently received attention due to their significance to error control in noncoherent random network coding. In this paper, we show that constant-rank codes are closely related to constant-dimension codes and…

Information Theory · Computer Science 2008-05-07 Maximilien Gadouleau , Zhiyuan Yan

We improve upon the Johnson-type bound of Hayashi and Yasunaga for insertion-deletion codes by encoding each local list into a binary constant-weight code. The resulting local list-size bound is tight for sufficiently large alphabets.…

Information Theory · Computer Science 2026-05-29 Yulin Yang

The realization of scalable fault-tolerant quantum computing is expected to hinge on quantum error-correcting codes. In the quest for more efficient quantum fault tolerance, a critical code parameter is the weight of measurements that…

Quantum Physics · Physics 2025-02-21 Austin Yubo He , Zi-Wen Liu

Low check weight is practically crucial code property for fault-tolerant quantum computing, which underlies the strong interest in quantum low-density parity-check (qLDPC) codes. Here, we explore the theory of weight-constrained stabilizer…

Quantum Physics · Physics 2026-01-28 Fuchuan Wei , Zhengyi Han , Austin Yubo He , Zimu Li , Zi-Wen Liu
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