Výsledky vyhledávání - "Relations with coding theory"

Cryptanalysis of RSA with private key d less than N/sup 0.292: Cryptanalysis of RSA with private key \(d\) less than \(N^{0. 292}\)

Autoři: Glenn E. Durfee Dan Boneh

Zdroj: Lecture Notes in Computer Science ISBN: 9783540658894

Témata: RSA, Cryptography, lattice basis reduction, LLL, 0202 electrical engineering, electronic engineering, information engineering, 0102 computer and information sciences, 02 engineering and technology, Relations with coding theory, 01 natural sciences, cryptoanalysis

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007%2F3-540-48910-X_1.pdf

Pieces of 2d: existence and uniqueness for Barnes–Wall and Ypsilanti lattices: Pieces of \(2^d\)\,: existence and uniqueness for Barnes-Wall and Ypsilanti lattices

Autoři: Robert L. Griess

Zdroj: Advances in Mathematics. 196:147-192

Témata: Commutator calculus, Barnes–Wall Lattices, unimodular lattice, 11H06, 11H56, 20G40, 20D06, Isometry groups, Lattices, Group Theory (math.GR), Relations with coding theory, 01 natural sciences, Minima of forms, automorphism group of a lattice, commutator density, Lattices and convex bodies (number-theoretic aspects), uniqueness of lattices, FOS: Mathematics, Mathematics - Combinatorics, Uniqueness, Combinatorics (math.CO), 0101 mathematics, Barnes-Wall lattice, Mathematics - Group Theory, Automorphism groups of lattices, Ypsilanti lattice, lattice, minimal vector

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0403480
https://zbmath.org/2207382
https://doi.org/10.1016/j.aim.2004.08.014
https://www.sciencedirect.com/science/article/pii/S0001870804002841
https://www.sciencedirect.com/science/article/abs/pii/S0001870804002841
http://ui.adsabs.harvard.edu/abs/2004math......3480G/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=1268662

On the classification and enumeration of self-dual codes

Autoři: W. Cary Huffman

Zdroj: Finite Fields and Their Applications. 11:451-490

Témata: Algebra and Number Theory, Self-dual codes over rings, Applied Mathematics, Algebraic coding theory, cryptography (number-theoretic aspects), 0102 computer and information sciences, 02 engineering and technology, Relations with coding theory, 01 natural sciences, enumeration, Theoretical Computer Science, Bounds on codes, classification, 0202 electrical engineering, electronic engineering, information engineering, Self-dual codes, Error-correcting codes, Engineering(all), Linear codes (general theory)

Popis souboru: application/xml

On some self-dual codes and unimodular lattices in dimension 48

Autoři: Masaaki Kitazume Masaaki Harada Boris Venkov a další

Zdroj: European Journal of Combinatorics. 26:543-557

Témata: unimodular lattices, Computational Theory and Mathematics, self-dual codes, 0202 electrical engineering, electronic engineering, information engineering, Geometry and Topology, 0102 computer and information sciences, 02 engineering and technology, Relations with coding theory, 01 natural sciences, Linear codes (general theory), Theoretical Computer Science

Popis souboru: application/xml

Přístupová URL adresa: https://dl.acm.org/doi/10.1016/j.ejc.2004.06.013
https://dblp.uni-trier.de/db/journals/ejc/ejc26.html#HaradaKMV05
https://www.sciencedirect.com/science/article/abs/pii/S0195669804001052
https://www.sciencedirect.com/science/article/pii/S0195669804001052
https://tohoku.pure.elsevier.com/en/publications/on-some-self-dual-codes-and-unimodular-lattices-in-dimension-48
https://core.ac.uk/display/82264064

Hierarchy-oriented searching algorithms using alternative duplicate codewords for vector quantization mechanism

Autoři: Shiuh-Jeng Wang Cheng-Hsing Yang

Zdroj: Applied Mathematics and Computation. 162:559-576

Témata: 0508 media and communications, Hierarchy, VQ search, 05 social sciences, Duplicate, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Image processing (compression, reconstruction, etc.) in information and communication theory, Relations with coding theory, Computing methodologies for image processing, Searching and sorting, Codeword

Popis souboru: application/xml

Přístupová URL adresa: http://ir.nptu.edu.tw/handle/987654321/13135?locale=zh-TW
https://www.sciencedirect.com/science/article/pii/S0096300304001158
https://doi.org/10.1016/j.amc.2003.12.134
http://www.sciencedirect.com/science/article/pii/S0096300304001158
https://dblp.uni-trier.de/db/journals/amc/amc162.html#WangY05

Higher Power Residue Codes and the Leech Lattice: Higher power residue codes and the Leech lattice

Autoři: Mehrdad Ahmadzadeh Raji

Zdroj: Journal of Algebraic Combinatorics. 21:39-53

Témata: self-dual code, even unimodular lattice, Lattices and convex bodies (number-theoretic aspects), 0202 electrical engineering, electronic engineering, information engineering, 0102 computer and information sciences, 02 engineering and technology, Relations with coding theory, Hensel lifting, 01 natural sciences, Linear codes (general theory)

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007%2Fs10801-005-6279-4.pdf
https://link.springer.com/content/pdf/10.1007/s10801-005-6279-4.pdf
https://link.springer.com/article/10.1007%2Fs10801-005-6279-4
http://www.emis.de/journals/JACO/Volume21_1/n0337l052pgj7t24.fulltext.pdf

Lattices invariant under the affine general linear group

Autoři: Kanat Abdukhalikov

Zdroj: Journal of Algebra. 276:638-662

Témata: Algebra and Number Theory, affine general linear group, Lattices and convex bodies (number-theoretic aspects), integral lattice, Automorphism groups, Lattices, Relations with coding theory, 0101 mathematics, Cyclic codes, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2116876
https://doi.org/10.1016/s0021-8693(03)00496-4
https://www.sciencedirect.com/science/article/abs/pii/S0021869303004964
https://www.sciencedirect.com/science/article/pii/S0021869303004964

Construction of new extremal unimodular lattices

Autoři: Gaborit, Philippe Vieceli, Yolande Laboratoire d'Arithmétique, de Calcul formel et d'Optimisation (LACO) a další

Přispěvatelé: Gaborit, Philippe Vieceli, Yolande Laboratoire d'Arithmétique, de Calcul formel et d'Optimisation (LACO) a další

Zdroj: European Journal of Combinatorics. 25:549-564

Témata: Computational Theory and Mathematics, optimal unimodular lattices, self-dual codes, extremal unimodular lattices, Lattices and convex bodies (number-theoretic aspects), Geometry and Topology, 0102 computer and information sciences, Relations with coding theory, 0101 mathematics, 01 natural sciences, Linear codes (general theory), Theoretical Computer Science

Popis souboru: application/xml

Přístupová URL adresa: https://hal.science/hal-00069178v1
https://zbmath.org/2082047
https://doi.org/10.1016/j.ejc.2003.07.005
https://dblp.uni-trier.de/db/journals/ejc/ejc25.html#Gaborit04
https://www.sciencedirect.com/science/article/pii/S0195669803001677
https://www.sciencedirect.com/science/article/abs/pii/S0195669803001677

Noisy Chinese remaindering in the Lee norm

Autoři: Ron Steinfeld Igor E. Shparlinski

Zdroj: Journal of Complexity. 20:423-437

Témata: Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, decoding, closest vector problem, Other types of codes, Decoding, Chinese remaindering, Applied Mathematics, 02 engineering and technology, Relations with coding theory, 01 natural sciences, lattice reduction, lattices, Lee norm, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Number-theoretic algorithms, complexity

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/45570246
https://users.monash.edu.au/~rste/LeeCRT.pdf
http://users.monash.edu.au/~rste/LeeCRT.pdf
https://www.sciencedirect.com/science/article/pii/S0885064X03001298
https://www.sciencedirect.com/science/article/abs/pii/S0885064X03001298

Distributional properties of d-FCSR sequences: Distributional properties of \(d\)-FCSR sequences

Autoři: Andrew Klapper

Zdroj: Journal of Complexity. 20:305-317

Témata: Statistics and Probability, Numerical Analysis, Algebra and Number Theory, Control and Optimization, Pseudorandom, Applied Mathematics, Shift register sequences and sequences over finite alphabets in information and communication theory, FCSR sequence, 0102 computer and information sciences, 02 engineering and technology, Relations with coding theory, sequence, 01 natural sciences, feedback with carry shift register, Pseudorandom sequence, 0202 electrical engineering, electronic engineering, information engineering, Distribution property, Pseudonoise sequence

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2083571
https://doi.org/10.1016/j.jco.2003.08.016

Eisenstein lattices, Galois rings, and theta series: Eisenstein lattices, Galois rings, and theta series.

Autoři: Patrick Solé Kok Seng Chua

Zdroj: European Journal of Combinatorics. 25:179-185

Témata: theta series, Computational Theory and Mathematics, Geometry and Topology, 0102 computer and information sciences, Relations with coding theory, 0101 mathematics, 01 natural sciences, lattice, Theoretical Computer Science

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0195669803000982#!
https://www.sciencedirect.com/science/article/abs/pii/S0195669803000982
https://www.sciencedirect.com/science/article/pii/S0195669803000982
https://dblp.uni-trier.de/db/journals/ejc/ejc25.html#ChuaS04

Almost Perfect Lattices, the Covering Radius Problem, and Applications to Ajtai's Connection Factor: Almost perfect lattices, the covering radius problem, and applications to Ajtai's connection factor

Autoři: Daniele Micciancio

Zdroj: SIAM Journal on Computing. 34:118-169

Témata: average-case complexity, cryptography, Data encryption (aspects in computer science), covering radius, Analysis of algorithms and problem complexity, hash functions, almost perfect lattices, Combinatorics in computer science, 0102 computer and information sciences, Relations with coding theory, Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry), closest vector problem with preprocessing, 01 natural sciences, shortest vector problem, point lattices, Packing and covering in \(n\) dimensions (aspects of discrete geometry), Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Number-theoretic algorithms, complexity

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2135830
https://doi.org/10.1137/s0097539703433511

Determinants of Legendre symbol matrices

Autoři: Robin Chapman

Zdroj: Acta Arithmetica. 115:231-244

Témata: Legendre symbol matrices, quadratic residue codes, Algebraic systems of matrices, Matrix equations and identities, determinants, Determinants, permanents, traces, other special matrix functions, 0102 computer and information sciences, Relations with coding theory, Matrices, determinants in number theory, 01 natural sciences, Numerical computation of determinants, Power residues, reciprocity, 0101 mathematics, Geometric methods (including applications of algebraic geometry) applied to coding theory

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/83684?download.pdf
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa115-3-4
https://www.impan.pl/shop/publication/transaction/download/product/83684?download.pdf
http://journals.impan.pl/cgi-bin/doi?aa115-3-4
http://empslocal.ex.ac.uk/people/staff/rjchapma/preprint/LegProof4.pdf
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/115/3/83684/determinants-of-legendre-symbol-matrices
https://eudml.org/doc/278400

Splitting the shadow: Splitting the shadow.

Autoři: Bonnecaze, A Choie, Y Dougherty, ST a další

Přispěvatelé: Bonnecaze, A Choie, Y Dougherty, ST a další

Zdroj: Discrete Mathematics. 270:43-60

Témata: unimodular lattices, 0102 computer and information sciences, 02 engineering and technology, Geometry of numbers, Relations with coding theory, 01 natural sciences, Theoretical Computer Science, II CODES, self-dual codes, shadows, Unimodular lattices, Jacobi forms, 0202 electrical engineering, electronic engineering, information engineering, Self-dual codes, Discrete Mathematics and Combinatorics, [INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT], LATTICES, Shadows, Linear codes (general theory)

Popis souboru: application/xml

Přístupová URL adresa: https://hal.archives-ouvertes.fr/hal-01705872
https://www.sciencedirect.com/science/article/pii/S0012365X02008658
https://www.sciencedirect.com/science/article/abs/pii/S0012365X02008658
https://dblp.uni-trier.de/db/journals/dm/dm270.html#BonnecazeCDS03
https://oasis.postech.ac.kr/handle/2014.oak/18380

Binary Two-Error-Correcting Codes are Better than Quaternary: Binary two-error-correcting codes are better than quaternary

Autoři: Patric R. J. Östergård

Zdroj: Applicable Algebra in Engineering, Communication and Computing. 14:89-96

Témata: Linear codes and caps in Galois spaces, error-correcting codes, covering codes, packings, Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory, 0202 electrical engineering, electronic engineering, information engineering, Algebraic coding theory, cryptography (number-theoretic aspects), 0102 computer and information sciences, 02 engineering and technology, Relations with coding theory, 01 natural sciences, Linear codes (general theory)

Popis souboru: application/xml

Přístupová URL adresa: https://dblp.uni-trier.de/db/journals/aaecc/aaecc14.html#Otergard03
https://link.springer.com/article/10.1007%2Fs00200-003-0128-2
https://doi.org/10.1007/s00200-003-0128-2

Optical intensity-modulated direct detection channels: signal space and lattice codes

Autoři: Steve Hranilovic Frank R. Kschischang

Zdroj: IEEE Transactions on Information Theory. 49:1385-1399

Témata: 0508 media and communications, Communication theory, 05 social sciences, 0202 electrical engineering, electronic engineering, information engineering, Modulation and demodulation in information and communication theory, 02 engineering and technology, Relations with coding theory, Channel models (including quantum) in information and communication theory

Popis souboru: application/xml

Přístupová URL adresa: https://www.ece.mcmaster.ca/faculty/hranilovic/publications/articles/03/hranilovic_it03.pdf
http://ieeexplore.ieee.org/document/1201063/
http://dblp.uni-trier.de/db/journals/tit/tit49.html#HranilovicK03
https://ieeexplore.ieee.org/document/1201063/
https://dblp.uni-trier.de/db/journals/tit/tit49.html#HranilovicK03
https://doi.org/10.1109/TIT.2003.811928

New asymptotic bounds for self-dual codes and lattices

Autoři: Rains, Eric M.

Zdroj: IEEE Transactions on Information Theory. 49:1261-1274

Témata: Mathematics - Number Theory, 11H31, linear programming, modular lattices, 02 engineering and technology, Relations with coding theory, Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.), 01 natural sciences, Bounds on codes, saddle-point method, self-dual codes, 94B65, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Mathematics - Combinatorics, Asymptotic bounds, Combinatorics (math.CO), Number Theory (math.NT), 0101 mathematics, Linear codes (general theory)

Popis souboru: application/xml

Přístupová URL adresa: https://authors.library.caltech.edu/81817/1/01197853.pdf
http://arxiv.org/abs/math/0104145
https://zbmath.org/2172695
https://doi.org/10.1109/tit.2003.810623
http://dblp.uni-trier.de/db/journals/tit/tit49.html#Rains03
https://dblp.uni-trier.de/db/journals/tit/tit49.html#Rains03
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.235.6443&rep=rep1&type=pdf
https://ieeexplore.ieee.org/document/1197853/

Complete joint weight enumerators and self-dual codes

Autoři: Choie, Y Dougherty, ST Kim, H a další

Přispěvatelé: Choie, Y Dougherty, ST Kim, H a další

Zdroj: IEEE Transactions on Information Theory. 49:1275-1282

Témata: unimodular lattices, JACOBI FORMS, Z(2M), Jacobi and Siegel forms, Algebraic coding theory, cryptography (number-theoretic aspects), FINITE RINGS, 0102 computer and information sciences, 02 engineering and technology, Relations with coding theory, 01 natural sciences, II CODES, self-dual codes, 0202 electrical engineering, electronic engineering, information engineering, EVEN UNIMODULAR LATTICES, Linear codes (general theory)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2172696
https://doi.org/10.1109/tit.2003.810649
http://dblp.uni-trier.de/db/journals/tit/tit49.html#ChoieDK03
https://dblp.uni-trier.de/db/journals/tit/tit49.html#ChoieDK03

Universal space-time coding

Autoři: Mohamed Oussama Damen H. El Gamal

Zdroj: IEEE Transactions on Information Theory. 49:1097-1119

Témata: 0508 media and communications, Decoding, 05 social sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Relations with coding theory, Error probability in coding theory, Channel models (including quantum) in information and communication theory

Popis souboru: application/xml

Seven-modular lattices and a septic base Jacobi identity: Seven-modular lattices and a septic base Jacobi identity.

Autoři: Chan, H.H. Chua, K.S. Solé, P. a další

Přispěvatelé: Chan, H.H. Chua, K.S. Solé, P. a další

Zdroj: Journal of Number Theory. 99:361-372

Témata: Algebra and Number Theory, Theta series, Weil representation, theta correspondences, Relations with coding theory, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1915511
https://doi.org/10.1016/s0022-314x(02)00069-0
https://www.sciencedirect.com/science/article/pii/S0022314X02000690
http://www.sciencedirect.com/science/article/pii/S0022314X02000690
http://www.ims.nus.edu.sg/preprints/2002-21.pdf
http://www.math.nus.edu.sg/~chanhh/papers/37.pdf