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A new interpolation-based decoding principle for interleaved Gabidulin codes is presented. The approach consists of two steps: First, a multi-variate linearized polynomial is constructed which interpolates the coefficients of the received…

Information Theory · Computer Science 2014-04-25 Antonia Wachter-Zeh , Alexander Zeh

The first step in any NLP pipeline is to split the text into individual tokens. The most obvious and straightforward approach is to use words as tokens. However, given a large text corpus, representing all the words is not efficient in…

Computation and Language · Computer Science 2021-09-30 Zaid Alyafeai , Maged S. Al-shaibani , Mustafa Ghaleb , Irfan Ahmad

In this paper, we introduce a new way of constructing and decoding multipermutation codes. Multipermutations are permutations of a multiset that generally consist of duplicate entries. We first introduce a class of binary matrices called…

Information Theory · Computer Science 2015-07-29 Xishuo Liu , Stark C. Draper

The lack of uniqueness arising by oversampling of Fourier coefficients is shown to provide a way of transmitting hidden information. A basic encoding/decoding system, developed on the basis of such a possibility, is discussed. The system is…

General Mathematics · Mathematics 2007-05-23 Jody R. Miotke , Laura Rebollo-Neira

Subspace codes were introduced in order to correct errors and erasures for randomized network coding, in the case where network topology is unknown (the noncoherent case). Subspace codes are indeed collections of subspaces of a certain…

Information Theory · Computer Science 2012-02-03 Hessam Mahdavifar , Alexander Vardy

In this article, we present a rule-based approach for transliterating two mostly used orthographies in Sorani Kurdish. Our work consists of detecting a character in a word by removing the possible ambiguities and mapping it into the target…

Computation and Language · Computer Science 2018-11-27 Sina Ahmadi

We consider a set of $n$ messages and a group of $k$ clients. Each client is privileged for receiving an arbitrary subset of the messages over a broadcast erasure channel, which generalizes scenario of a previous work. We propose a method…

Information Theory · Computer Science 2013-05-07 Shahriar Etemadi Tajbakhsh , Parastoo Sadeghi

It is increasingly important to enable privacy-preserving inference for cloud services based on Transformers. Post-quantum cryptographic techniques, e.g., fully homomorphic encryption (FHE), and multi-party computation (MPC), are popular…

Cryptography and Security · Computer Science 2023-03-27 Mengxin Zheng , Qian Lou , Lei Jiang

Every encoding has priori information if the encoding represents any semantic information of the unverse or object. Encoding means mapping from the unverse to the string or strings of digits. The semantic here is used in the model-theoretic…

Artificial Intelligence · Computer Science 2009-03-24 Xiuli Wang

One of the major issues of cryptography is the cryptanalysis of cipher algorithms. Cryptanalysis is the study of methods for obtaining the meaning of encrypted information, without access to the secret information that is normally required.…

Cryptography and Security · Computer Science 2016-09-14 Michel Dubois , Eric Filiol

In the not so unlikely scenario of total compromise of computers accessible to a group of users, they might be tempted to resort to human-computable paper-and-pencil cryptographic methods aided by a classic Tabula Recta, which helps to…

Cryptography and Security · Computer Science 2023-12-06 Francisco Ruiz

Chiasmus, a debated literary device in Biblical texts, has captivated mystics while sparking ongoing scholarly discussion. In this paper, we introduce the first computational approach to systematically detect chiasmus within Biblical…

Computation and Language · Computer Science 2025-01-22 Hope McGovern , Hale Sirin , Tom Lippincott

LT (Luby transform) codes are a celebrated family of rateless erasure codes (RECs). Most of existing LT codes were designed for applications in which a centralized encoder possesses all message blocks and is solely responsible for encoding…

Information Theory · Computer Science 2023-05-12 Jingfan Meng , Ziheng Liu , Yiwei Wang , Jun Xu

Ciphers are a powerful tool for encrypting communication. There are many different cipher types, which makes it computationally expensive to solve a cipher using brute force. In this paper, we frame the decryption task as a classification…

Computation and Language · Computer Science 2023-06-16 Brendan Artley , Greg Mehdiyev

Under the emerging network coding paradigm, intermediate nodes in the network are allowed not only to store and forward packets but also to process and mix different data flows. We propose a low-complexity cryptographic scheme that exploits…

Cryptography and Security · Computer Science 2016-11-17 Joao P. Vilela , Luisa Lima , Joao Barros

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran

In this paper we describe a variation of the classical permutation decoding algorithm that can be applied to any affine-invariant code with respect to certain type of information sets. In particular, we can apply it to the family of…

Information Theory · Computer Science 2023-02-13 José Joaquín Bernal , Juan Jacobo Simón

Threshold cryptography is a powerful and well-known technique with many applications to systems relying on distributed trust. It has recently emerged also as a solution to challenges in blockchain: frontrunning prevention, managing wallet…

Cryptography and Security · Computer Science 2025-02-06 Mariarosaria Barbaraci , Noah Schmid , Orestis Alpos , Michael Senn , Christian Cachin

We introduce the notion of trace-norm isometric encoding and explore its implications for passive and active methods to protect quantum information against errors. Beside providing an operational foundations to the "subsystems principle"…

Quantum Physics · Physics 2013-05-29 Francesco Ticozzi , Lorenza Viola

Quantum information theory studies the fundamental limits that physical laws impose on information processing tasks such as data compression and data transmission on noisy channels. This thesis presents general techniques that allow one to…

Quantum Physics · Physics 2010-04-13 Frédéric Dupuis