Results 1 to 10 of about 2,145,700 (237)
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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Quasi-linear Network Coding [PDF]
2014 International Symposium on Network Coding (NetCod), 2014 We present a heuristic for designing vector non-linear network codes for non-multicast networks, which we call quasi-linear network codes. The method presented has two phases: finding an approximate linear network code over the reals, and then quantizing
Médard, Muriel, Schwartz, Moshe
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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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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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A New Code Based Signature Scheme for Blockchain Technology
Mathematics, 2023 Blockchain is a method of recording information that makes it not feasible for the system to be replaced, attacked, or manipulated. A blockchain is equipped with a notebook that copies and processes the various procedures across the network of computers ...
Adel Alahmadi +5 more
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17 New Existences linear [n,3,d]19 Codes by Geometric Structure Method in PG(2,19) [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2019 The purpose of this paper is to prove the existence of 17 new linear [337,3,318]19, [289,3,271]19, [266,3,249]19, [246,3,230]19, [219,3,204]19, [206,3,192]19, [181,3,168]19, [157,3,145]19, [141,3,130]19, [120,3,110]19, [112,3,103]19, [82,3,74]19, [72,3 ...
Nada Kasm Yahya, Mustafa Salim
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Computer Classification of Linear Codes [PDF]
IEEE Transactions on Information Theory, 2021 We present algorithms for classification of linear codes over finite fields, based on canonical augmentation and on lattice point enumeration. We apply these algorithms to obtain classification results over fields with 2, 3 and 4 elements. We validate a correct implementation of the algorithms with known classification results from the literature ...
Iliya Bouyukliev +2 more
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Linear Codes Arise From New Complete (n,r)-arcs in PG(2,29) [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 This paper presents the recently-discovered linear [n,3,d] codes over PG(2,29) that arises from a complete (n,r)-arcs which the paper[12] presented it for the first time.
Shuaa Aziz
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The parameters of minimal linear codes [PDF]
Finite Fields and Their Applications, 2021 Let $k\leq n$ be two positive integers and $q$ a prime power. The basic question in minimal linear codes is to determine if there exists an $[n,k]_q$ minimal linear code. The first objective of this paper is to present a new sufficient and necessary condition for linear codes to be minimal.
Wei Lu 0022, Xia Wu 0002, Xiwang Cao
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