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An iterative decoding algorithm for convolutional codes is presented. It successively processes $N$ consecutive blocks of the received word in order to decode the first block. A bound is presented showing which error configurations can be…

信息论 · 计算机科学 2009-08-07 H. Gluesing-Luerssen , U. Helmke , J. I. Iglesias Curto

The genome rearrangement problem computes the minimum number of operations that are required to sort all elements of a permutation. A block-interchange operation exchanges two blocks of a permutation which are not necessarily adjacent and…

数据结构与算法 · 计算机科学 2019-06-13 Md. Khaledur Rahman , M. Sohel Rahman

Binary $t$-frameproof codes ($t$-FPCs) are used in multimedia fingerprinting schemes where the identification of authorized users taking part in the averaging collusion attack is required. In this paper, a binary strongly…

信息论 · 计算机科学 2014-12-22 Jing Jiang , Minquan Cheng , Ying Miao

We had recently shown that every positive integer can be represented uniquely using a recurrence sequence, when certain restrictions on the digit strings are satisfied. We present the details of how such representations can be used to build…

数论 · 数学 2015-03-17 Nathan Hamlin , Bala Krishnamoorthy , William Webb

Efficient block encoding of many-body Hamiltonians is a central requirement for quantum algorithms in scientific computing, particularly in the early fault-tolerant era. In this work, we introduce new explicit constructions for block…

量子物理 · 物理学 2025-10-13 Diyi Liu , Shuchen Zhu , Guang Hao Low , Lin Lin , Chao Yang

Let integer be any C/C++ unsigned integer type up to 64-bits long. Given a Dyck word the following code returns the next Dyck word of the same size, provided it exists. integer next_dyck_word(integer w) { integer const a = w & -w; integer…

数据结构与算法 · 计算机科学 2018-03-21 Cassio Neri

We present a scalable and efficient neural waveform coding system for speech compression. We formulate the speech coding problem as an autoencoding task, where a convolutional neural network (CNN) performs encoding and decoding as a neural…

音频与语音处理 · 电气工程与系统科学 2021-11-30 Kai Zhen , Jongmo Sung , Mi Suk Lee , Seungkwon Beak , Minje Kim

Recently, Pareek et al. proposed a symmetric key block cipher using multiple one-dimensional chaotic maps. This paper reports some new findings on the security problems of this kind of chaotic cipher: 1) a number of weak keys exists; 2)…

混沌动力学 · 物理学 2010-06-23 Chengqing Li , Shujun Li , Gonzalo Álvarez , Guanrong Chen , Kwok-Tung Lo

The well-known 1089 trick reflects an amazing trait of digital reversal process and reminisces of a limiting attractor in dynamical systems even though it takes only two steps. It is natural to consider the situations when the number of…

混沌动力学 · 物理学 2026-01-13 Yannis Almirantis , Wentian Li

This paper presents a simple, but efficient class of non-interactive protocols for quantum authentication of $m$-length clas sical messages. The message is encoded using a classical linear algebraic code $C[n,m,t]$. We assume that Alice and…

量子物理 · 物理学 2007-05-23 Rex A. C. Medeiros , Francisco M. de Assis , Bernardo L. Júior , Aércio F. Lima

A central goal in information theory and cryptography is finding simple characterizations of optimal communication rates subject to various restrictions and security requirements. Ideally, the optimal key rate for a quantum key distribution…

量子物理 · 物理学 2012-03-28 Graeme Smith , Joseph M. Renes , John A. Smolin

We extend the spherical code based key distribution protocols to qudits with dimensions 4 and 16 by constructing equiangular frames and their companions. We provide methods for equiangular frames in arbitrary dimensions for Alice to use and…

We show how to build an alphabetic minimax tree for a sequence (W = w_1, >..., w_n) of real weights in (O (n d \log \log n)) time, where $d$ is the number of distinct integers (\lceil w_i \rceil). We apply this algorithm to building an…

信息论 · 计算机科学 2008-10-29 Travis Gagie

We propose a quantum circuit design for implementing coined quantum walks on complex networks. In complex networks, the coin and shift operators depend on the varying degrees of the nodes, which makes circuit construction more challenging…

量子物理 · 物理学 2026-05-19 Rei Sato

Sometimes it is possible to embed an algebraic trapdoor into a block cipher. Building on previous research, in this paper we investigate an especially dangerous algebraic structure, which is called a hidden sum and which is related to some…

群论 · 数学 2018-10-04 Carlo Brunetta , Marco Calderini , Massimiliano Sala

In this paper, we study the codes over the matrix ring over $\mathbb{Z}_4$, which is perhaps the first time the ring structure $M_2(\mathbb{Z}_4)$ is considered as a code alphabet. This ring is isomorphic to…

信息论 · 计算机科学 2018-07-16 Sanjit Bhowmick , Satya Bagchi , Ramakrishna Bandi

A shared secret key is necessary for encrypted communications. Since Wi-Fi relies on OFDM, we suggest a method to generate such a key by utilizing Wi-Fi's channel state information (CSI). CSI is typically reciprocal but very sensitive to…

密码学与安全 · 计算机科学 2023-07-12 Tomer Avrahami , Ofer Amrani , Avishai Wool

Current methods which compress multisets at an optimal rate have computational complexity that scales linearly with alphabet size, making them too slow to be practical in many real-world settings. We show how to convert a compression…

信息论 · 计算机科学 2023-02-28 Daniel Severo , James Townsend , Ashish Khisti , Alireza Makhzani , Karen Ullrich

A novel original procedure of encryption/decryption based on the polyadic algebraic structures and on signal processing methods is proposed. First, we use signals with integer amplitudes to send information. Then we use polyadic techniques…

密码学与安全 · 计算机科学 2025-11-14 Steven Duplij , Qiang Guo

An RNA sequence is a word over an alphabet on four elements $\{A,C,G,U\}$ called bases. RNA sequences fold into secondary structures where some bases match one another while others remain unpaired. Pseudoknot-free secondary structures can…

数据结构与算法 · 计算机科学 2018-03-28 Édouard Bonnet , Paweł Rzążewski , Florian Sikora