Results 1 to 10 of about 7,931,944 (349)
A consensus-based and readable extension of Linear Code for Reaction Rules (LiCoRR) [PDF]
Beilstein Journal of Organic Chemistry, 2020 Systems glycobiology aims to provide models and analysis tools that account for the biosynthesis, regulation, and interactions with glycoconjugates.
Benjamin P. Kellman +19 more
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The Extended Codes of Some Linear Codes [PDF]
Finite Fields and Their Applications, 2023 The classical way of extending an $[n, k, d]$ linear code $\C$ is to add an overall parity-check coordinate to each codeword of the linear code $\C$. This extended code, denoted by $\overline{\C}(-\bone)$ and called the standardly extended code of $\C ...
Zhonghua Sun, C. Ding, Ting Chen
semanticscholar +4 more sources
On the Covering Dimension of a Linear Code [PDF]
IEEE Transactions on Information Theory, 2015 This paper introduces the covering dimension of a linear code over a finite field, which is analogous to the critical exponent of a representable matroid and, thus, generalizes invariants that lie at the heart of several fundamental problems in a coding ...
Thomas Britz, Keisuke Shiromoto
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An Extension of the Brouwer–Zimmermann Algorithm for Calculating the Minimum Weight of a Linear Code
Mathematics, 2021 A modification of the Brouwer–Zimmermann algorithm for calculating the minimum weight of a linear code over a finite field is presented. The aim was to reduce the number of codewords for consideration.
Stefka Bouyuklieva, Iliya Bouyukliev
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An Efficient Decoder for a Linear Distance Quantum LDPC Code [PDF]
Symposium on the Theory of Computing, 2022 Recent developments have shown the existence of quantum low-density parity check (qLDPC) codes with constant rate and linear distance. A natural question concerns the efficient decodability of these codes.
Shouzhen Gu, C. Pattison, Eugene Tang
semanticscholar +1 more source
Triangular code: Near-optimal linear time fountain code
Digital Communications and Networks, 2023 In this paper, we propose Triangular Code (TC), a new class of fountain code with near-zero redundancy and linear encoding and decoding computational complexities of O(Lklogk), where k is the packet batch size and L is the packet data length.
Jalaluddin Qureshi, Chuan Heng Foh
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Linear Computation Coding [PDF]
ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2021 We introduce the new concept of computation coding. Similar to how rate-distortion theory is concerned with the lossy compression of data, computation coding deals with the lossy computation of functions. Particularizing to linear functions, we present an algorithm to reduce the computational cost of multiplying an arbitrary given matrix with an ...
Ralf R. Müller +2 more
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Error correction by Reed–Solomon codes using its automorphisms
Весці Нацыянальнай акадэміі навук Беларусі: Серыя фізіка-тэхнічных навук, 2021 The article explores the syndrome invariants of АГ-group of automorphisms of Reed–Solomon codes (RS-codes) that are a joint group of affine and cyclic permutations. The found real invariants are a set of norms of N Г-orbits that make up one or another АГ-
V. A. Lipnitsky, S. I. Semyonov
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The JOREK non-linear extended MHD code and applications to large-scale instabilities and their control in magnetically confined fusion plasmas [PDF]
Nuclear Fusion, 2020 JOREK is a massively parallel fully implicit non-linear extended magneto-hydrodynamic (MHD) code for realistic tokamak X-point plasmas. It has become a widely used versatile simulation code for studying large-scale plasma instabilities and their control ...
M. Hoelzl +52 more
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Large scale and linear scaling DFT with the CONQUEST code. [PDF]
Journal of Chemical Physics, 2020 We survey the underlying theory behind the large-scale and linear scaling density functional theory code, conquest, which shows excellent parallel scaling and can be applied to thousands of atoms with diagonalization and millions of atoms with linear ...
A. Nakata +10 more
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