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In this paper we show the usability of the Gray code with constant weight words for computing linear combinations of codewords. This can lead to a big improvement of the computation time for finding the minimum distance of a code. We have…

Information Theory · Computer Science 2018-09-12 Nikolay Yankov , Krassimir Enev

Random network coding recently attracts attention as a technique to disseminate information in a network. This paper considers a non-coherent multi-shot network, where the unknown and time-variant network is used several times. In order to…

Information Theory · Computer Science 2016-11-17 Antonia Wachter-Zeh , Markus Stinner , Vladimir Sidorenko

Local rank modulation scheme was suggested recently for representing information in flash memories in order to overcome drawbacks of rank modulation. For $0 < s\leq t\leq n$ with $s$ divides $n$, an $(s,t,n)$-LRM scheme is a local rank…

Information Theory · Computer Science 2014-04-22 Michal Horovitz , Tuvi Etzion

Malware authors are continuously evolving their code base to include counter-analysis methods that can significantly hinder their detection and blocking. While the execution of malware in a sandboxed environment may provide a lot of…

Cryptography and Security · Computer Science 2022-04-11 Vasilis Vouvoutsis , Fran Casino , Constantinos Patsakis

The problem of error control in random linear network coding is addressed from a matrix perspective that is closely related to the subspace perspective of K\"otter and Kschischang. A large class of constant-dimension subspace codes is…

Information Theory · Computer Science 2019-05-07 Danilo Silva , Frank R. Kschischang , Ralf Kötter

We introduce categorical modularity, a novel low-resource intrinsic metric to evaluate word embedding quality. Categorical modularity is a graph modularity metric based on the $k$-nearest neighbor graph constructed with embedding vectors of…

Computation and Language · Computer Science 2021-06-03 Sílvia Casacuberta , Karina Halevy , Damián E. Blasi

In this work we explore the use of metric index structures, which accelerate nearest neighbor queries, in the scenario where we need to interleave insertions and queries during deployment. This use-case is inspired by a real-life need in…

Data Structures and Algorithms · Computer Science 2018-01-17 Edward Raff , Charles Nicholas

Ranking is used for a wide array of problems, most notably information retrieval (search). There are a number of popular approaches to the evaluation of ranking such as Kendall's $\tau$, Average Precision, and nDCG. When dealing with…

Information Retrieval · Computer Science 2026-05-08 Denys Katerenchuk , Andrew Rosenberg

To ensure differential privacy, one can reveal an integer fuzzily in two ways: (a) add some Laplace noise to the integer, or (b) encode the integer as a binary string and add iid BSC noise. The former is simple and natural while the latter…

Information Theory · Computer Science 2024-06-26 Venkatesan Guruswami , Hsin-Po Wang

We show that the sequence of dimensions of the linear spaces, generated by a given rank-metric code together with itself under several applications of a field automorphism, is an invariant for the whole equivalence class of the code. These…

Information Theory · Computer Science 2019-05-28 Alessandro Neri , Sven Puchinger , Anna-Lena Horlemann-Trautmann

We study permutations over the set of $\ell$-grams, that are feasible in the sense that there is a sequence whose $\ell$-gram frequency has the same ranking as the permutation. Codes, which are sets of feasible permutations, protect…

Information Theory · Computer Science 2021-01-18 Niv Beeri , Moshe Schwartz

Maximum run-length limited codes are constraint codes used in communication and data storage systems. Insertion/deletion correcting codes correct insertion or deletion errors caused in transmitted sequences and are used for combating…

Information Theory · Computer Science 2020-12-29 Reona Takemoto , Takayuki Nozaki

As a result of their applications in network coding, space-time coding, and coding for criss-cross errors, matrix codes have garnered significant attention; in various contexts, these codes have also been termed rank-metric codes,…

Information Theory · Computer Science 2015-07-21 Katherine Morrison

We derive a linear programming bound on the maximum cardinality of error-correcting codes in the sum-rank metric. Based on computational experiments on relatively small instances, we observe that the obtained bounds outperform all…

Combinatorics · Mathematics 2024-06-25 Aida Abiad , Alexander L. Gavrilyuk , Antonina P. Khramova , Ilia Ponomarenko

We consider generalizations of Reed-Muller codes, toric codes, and codes from certain plane curves, such as those defined by norm and trace functions on finite fields. In each case we are interested in codes defined by evaluating arbitrary…

Information Theory · Computer Science 2007-07-16 Maria Bras-Amorós , Michael E. O'Sullivan

Adversarial samples are perturbed inputs crafted to mislead the machine learning systems. A training mechanism, called adversarial training, which presents adversarial samples along with clean samples has been introduced to learn robust…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Vivek B. S. , Konda Reddy Mopuri , R. Venkatesh Babu

Similarity, or clone, detection has important applications in copyright violation, software theft, code search, and the detection of malicious components. There is now a good number of open source and proprietary clone detectors for…

Programming Languages · Computer Science 2023-02-21 Farima Farmahinifarahani , Cristina V. Lopes

As more attention is paid to security in the context of control systems and as attacks occur to real control systems throughout the world, it has become clear that some of the most nefarious attacks are those that evade detection. The term…

Systems and Control · Computer Science 2019-06-04 Carlos Murguia , Iman Shames , Justin Ruths , Dragan Nesic

We consider $t$-Lee-error-correcting codes of length $n$ over the residue ring $\mathbb{Z}_m := \mathbb{Z}/m\mathbb{Z}$ and determine upper and lower bounds on the number of $t$-Lee-error-correcting codes. We use two different methods,…

Information Theory · Computer Science 2023-05-11 Nadja Willenborg , Anna-Lena Horlemann , Violetta Weger

Sequential labeling is a fundamental NLP task, forming the backbone of many applications. Supervised learning of Seq2Seq models has shown great success on these problems. However, the training objectives are still significantly disconnected…

Computation and Language · Computer Science 2022-12-22 Kazuma Hashimoto , Karthik Raman