Security and reliability of Information: theory and practice

• Grant number: 13/25977-7
• Support Opportunities: Research Projects - Thematic Grants
• Start date: June 01, 2014
• End date: January 31, 2020
• Field of knowledge: Engineering - Electrical Engineering - Telecommunications
• Principal Investigator: Marcelo Firer
• Grantee: Marcelo Firer
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• City of the host institution: Campinas
• Principal investigators: Antonio Aparecido de Andrade ; Julio César López Hernández ; Reginaldo Palazzo Junior ; Ricardo Dahab ; Sueli Irene Rodrigues Costa
• Principal investigators: Paulo Sérgio Licciardi Messeder Barreto
• Associated researchers: Agnaldo José Ferrari ; Carina Alves ; Carlile Campos Lavor ; Cintya Wink de Oliveira Benedito ; Cristiano Torezzan ; Diego de Freitas Aranha ; Edson Donizete de Carvalho ; Grasiele Cristiane Jorge ; Gustavo Fraidenraich ; Jaime Portugheis ; João Eloir Strapasson ; José Plínio de Oliveira Santos ; Julio César López Hernández ; Manish Sharma ; Marcelo da Silva Pinho ; Marcos Antonio Simplicio Junior ; Max Henrique Machado Costa ; Murilo Bellezoni Loiola
• Associated research grant(s): 19/17002-2 - 4th Workshop on Communication Networks and Power Systems 2019, AR.BR; 19/18235-0 - Finite fields and applications to codes, lattices and cryptography, AV.EXT; 19/15611-1 - Channel model for free space optical communication, AV.BR; + associated grants 18/13757-6 - XXXVI Brazilian Communications and Signal Processing Symposium, AR.BR; 17/10184-2 - Intenational Microwave and Optoelectronics Conference - IMOC 2017, AR.BR; 16/50476-0 - Efficiency and security of pre and post quantum cryptographic methods: theory and applications, AP.R SPRINT; 14/10745-6 - Weight enumerator for poset metrics, AV.EXT; 15/08570-6 - 6º International Workshop on Telecommunications 2015, AR.BR; 14/25463-6 - Tessellation and constellations in the hyperbolic plane and applications to topological quantum coding, AV.BR; 14/13835-6 - 34th International Workshop on Bayesian Inference and Maximum Entropy in Science and Engineering, AR.EXT - associated grants
• Associated scholarship(s): 19/19296-3 - Characterizing Lattices for Cryptography, BP.IC; 19/14390-1 - Perfect codes in the l_p metric, BP.IC; 18/06775-8 - Codes, Lattices and Applications to the Communications Area- An Introduction, BP.IC; + associated scholarships 18/06384-9 - Error correcting codes and cryptography: metrics, shrinking generators and convolutional codes., BP.IC; 18/06556-4 - Error correcting codes and cryptography: metrics, convolutional codes and SPC codes., BP.IC; 18/06766-9 - Error correcting codes and cryptography: generalized weights of convolutional codes and shrinking generators, BP.IC; 18/08114-9 - Lattices para decodificação em Criptografia, BP.IC; 18/08130-4 - Characterizing Lattices for Cryptography, BP.IC; 18/07605-9 - Introduction to Cyclic Codes over Finite Fields and Number Fields with Applications, BP.IC; 18/08263-4 - Introduction to Cyclic Codes over Commutative Rings and Algebraic Integer Numbers with Applications, BP.IC; 18/06884-1 - An Introduction to Error Correcting Codes, Lattices and Applications, BP.IC; 15/26420-1 - Metrics in the context of information theory and error correcting codes, BP.PD; 16/01551-9 - Metrics in coding theory, BP.PD; 15/20595-4 - Constructions of algebraic lattices via Galoisian extension of prime degree, BP.MS; 15/11286-8 - Metrics that agree on the support of vectors and nearest neighbor decoding, BP.DR; 15/07246-0 - Construction, decoding and implementation of F_q linear codes. Performanca of SPC product codes and cryptanalysis of the shrinking generators., BP.PD - associated scholarships

Abstract

This proposal continues the efforts made over the last twelve years, supported by three Thematic Projects funded by FAPESP, aiming to develop the research can be summarized under the heading of "Information Security and Reliability: Theory and Applications". It covers research questions issues related to Information Theory, Error Correcting Codes and Cryptography (in its broad meaning), involving researchers from engineering, mathematics and computing. The research goals include theoretical issues and applications to subjects as genomics, sensor networks, image transmission and processing. (AU)

Scientific publications

(86)

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

FERRARI, AGNALDO JOSE; DE ANDRADE, ANTONIO APARECIDO. Algebraic lattices via polynomial rings. COMPUTATIONAL & APPLIED MATHEMATICS, v. 38, n. 4, DEC 2019. (13/25977-7, 14/14449-2)

STREY, GISELLE; STRAPASSON, JOAO E.; COSTA, SUELI I. R.. Perfect codes in Euclidean lattices. COMPUTATIONAL & APPLIED MATHEMATICS, v. 40, n. 2, MAR 2021. (13/25977-7)

DE ARAUJO, ROBSON RICARDO. An upper bound on the covering radius of the logarithmic lattice for cyclotomic number fields. DISCRETE MATHEMATICS, v. 347, n. 1, p. 6-pg., 2024-01-01. (13/25977-7)

STRAPASSON, JOAO ELOIR; FERRARI, AGNALDO JOSE; JORGE, GRASIELE CRISTIANE; COSTA, SUELI IRENE RODRIGUES. Algebraic constructions of rotated unimodular lattices and direct sum of Barnes-Wall lattices. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 20, n. 3, p. 23-pg., 2021-03-01. (13/25977-7, 15/17167-0, 14/14449-2)

E. D. DE CARVALHO; A. A. ANDRADE; T. SHAH; C. C. TRINCA. Construction of Complex Lattice Codes via Cyclotomic Fields. Trends in Computational and Applied Mathematics, v. 23, n. 1, p. 33-50, 2022-04-04. (13/25977-7)

BOLLAUF, MAIARA F.; VAISHAMPAYAN, VINAY A.; COSTA, SUELI I. R.; IEEE. On the Communication Cost of Determining an Approximate Nearest Lattice Point. 2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), v. N/A, p. 5-pg., 2017-01-01. (13/25977-7)

A. A. ANDRADE; A. J. FERRARI; J. C. INTERLANDO; R.R. ARAUJO. Constructions of Dense Lattices of Full Diversity. TEMA (São Carlos), v. 21, n. 2, p. 299-311, 2020-08-03. (13/25977-7)

PINELE, JULIANNA; STRAPASSON, JOAO E.; COSTA, SUELI I. R.. The FisherRao Distance between Multivariate Normal Distributions: Special Cases, Bounds and Applications. Entropy, v. 22, n. 4, APR 2020. (13/25977-7)

MIYAMOTO, HENRIQUE K.; COSTA, SUELI I. R.; EARP, HENRIQUE N. SA. Constructive Spherical Codes by Hopf Foliation. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 67, n. 12, p. 7925-7939, DEC 2021. (18/21391-1, 16/05126-0, 17/20007-0, 13/25977-7)

PEREIRA VICENTE, LUIS GUSTAVO; SHARMA, MANISH; IEEE. Constellation design for digital communications using vector quantization. 2019 WORKSHOP ON COMMUNICATION NETWORKS AND POWER SYSTEMS (WCNPS), v. N/A, p. 4-pg., 2019-01-01. (13/25977-7)

BOLLAUF, MAIARA F.; ZAMIR, RAM; COSTA, SUELI I. R.. Multilevel Constructions: Coding, Packing and Geometric Uniformity. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 65, n. 12, p. 7669-7681, DEC 2019. (13/25977-7)

ELIMELECH, DOR; FIRER, MARCELO; SCHWARTZ, MOSHE; IEEE. The Generalized Covering Radii of Linear Codes. 2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), v. N/A, p. 6-pg., 2021-01-01. (13/25977-7)

DE ARAUJO, ROBSON R.; COSTA, SUELI I. R.. Well-rounded algebraic lattices in odd prime dimension. ARCHIV DER MATHEMATIK, v. 112, n. 2, p. 139-148, FEB 2019. (13/25977-7)

J.E. STRAPASSON; S.I.R. COSTA; M. MUNIZ. A Note on Quadrangular Embedding of Abelian Cayley Graphs. TEMA (São Carlos), v. 17, n. 3, p. 331-340, 2016-12-00. (07/00514-3, 11/01096-6, 13/25977-7)

JORGE, GRASIELE C.; DE ANDRADE, ANTONIO A.; COSTA, SUELI I. R.; STRAPASSON, JOAO E.. Algebraic constructions of densest lattices. Journal of Algebra, v. 429, p. 218-235, MAY 1 2015. (13/25977-7)

LUCAS D'OLIVEIRA, RAFAEL GREGORIO; FIRER, MARCELO. The packing radius of a code and partitioning problems: The case for poset metrics on finite vector spaces. DISCRETE MATHEMATICS, v. 338, n. 12, p. 2143-2167, DEC 6 2015. (13/25977-7)

CAMPELLO, ANTONIO; JORGE, GRASIELE C.; STRAPASSON, JOAO E.; COSTA, SUELI I. R.. Perfect codes in the l(p) metric. EUROPEAN JOURNAL OF COMBINATORICS, v. 53, p. 72-85, APR 2016. (13/25977-7, 14/20602-8)

A. A. ANDRADE; J. C. INTERLANDO. Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r ). TEMA (São Carlos), n. ahead, p. -, 2019. (13/25977-7)

A.S. ANSARI; T. SHAH; ZIA-UR RAHMAN; A.A. ANDRADE. Sequences of Primitive and Non-primitive BCH Codes. TEMA (São Carlos), v. 19, n. 2, p. 369-389, 2018-08-00. (13/25977-7)

DUARTE-GONZALEZ, M. E.; ECHEVERRI, O. Y.; GUEVARA, J. M.; PALAZZO, JR., R.. Cyclic Concatenated Genetic Encoder: A mathematical proposal for biological inferences. BIOSYSTEMS, v. 163, p. 47-58, JAN 2018. (13/25977-7)

D'OLIVEIRA, RAFAEL G. L.; FIRER, MARCELO. Channel metrization. EUROPEAN JOURNAL OF COMBINATORICS, v. 80, p. 107-119, AUG 2019. (13/25977-7)

QURESHI, CLAUDIO; REIS, LUCAS. Dynamics of the a-map over residually finite Dedekind domains and applications. JOURNAL OF NUMBER THEORY, v. 204, p. 134-154, NOV 2019. (13/25977-7, 15/26420-1, 18/03038-2)

BOLLAUF, MAIARA F.; VAISHAMPAYAN, VINAY A.; COSTA, SUELI I. R.. On Communication for Distributed Babai Point Computation. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 67, n. 10, p. 6408-6424, OCT 2021. (13/25977-7)

BARRETO, PAULO S. L. M.; SIMPLICIO, JR., MARCOS A.; RICARDINI, JEFFERSON E.; PATIL, HARSH KUPWADE. Schnorr-Based Implicit Certification: Improving the Security and Efficiency of Vehicular Communications. IEEE TRANSACTIONS ON COMPUTERS, v. 70, n. 3, p. 393-399, MAR 1 2021. (13/25977-7)

SHAH, TARIQ; JAHANGIR, SAIRA; DE ANDRADE, ANTONIO APARECIDO. Design of new 4 x 4S-box from finite commutative chain rings. COMPUTATIONAL & APPLIED MATHEMATICS, v. 36, n. 2, p. 15-pg., 2017-06-01. (13/25977-7)

ZANON, GUSTAVO H. M.; SIMPLICIO, MARCOS A., JR.; PEREIRA, GEOVANDRO C. C. F.; DOLISKANI, JAVAD; BARRETO, PAULO S. L. M.; LANGE, T; STEINWANDT, R. Faster Isogeny-Based Compressed Key Agreement. POST-QUANTUM CRYPTOGRAPHY, PQCRYPTO 2018, v. 10786, p. 21-pg., 2018-01-01. (13/25977-7, 15/50520-6)

SHARMA, MANISH; IEEE. Data-aided power estimation for a multiuser non coherent MFSK fast Rayleigh fading system. 2017 SBMO/IEEE MTT-S INTERNATIONAL MICROWAVE AND OPTOELECTRONICS CONFERENCE (IMOC), v. N/A, p. 5-pg., 2017-01-01. (13/25977-7)

FERRARI, AGNALDO JOSE; DE SOUZA, TATIANA MIGUEL RODRIGUES. ROTATED A(n)-LATTICE CODES OF FULL DIVERSITY. Advances in Mathematics of Communications, v. 16, n. 3, p. 9-pg., 2020-09-20. (13/25977-7)

BASTOS, GUSTAVO TERRA; PALAZZO JUNIOR, REGINALDO; GUERREIRO, MARINES. ABELIAN NON-CYCLIC ORBIT CODES AND MULTISHOT SUBSPACE CODES. Advances in Mathematics of Communications, v. 14, n. 4, p. 20-pg., 2020-11-01. (13/25977-7)

MEDEIROS, BRUNO; SIMPLICIO, MARCOS A., JR.; ANDRADE, EWERTON R.; GALIS, A; GUILLEMIN, F; NOLDUS, R; SECCI, S; IDZIKOWSKI, F; SAYIT, MF. Designing and Assessing Multi-tenant Isolation Strategies for Cloud Networks. PROCEEDINGS OF THE 2019 22ND CONFERENCE ON INNOVATION IN CLOUDS, INTERNET AND NETWORKS AND WORKSHOPS (ICIN), v. N/A, p. 8-pg., 2019-01-01. (13/25977-7)

AZAM, NAVEED AHMED; SHAH, TARIQ; DE ANDRADE, ANTONIO APARECIDO. A new transmission model in cognitive radio based on cyclic generalized polynomial codes for bandwidth reduction. DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, v. 6, n. 4, p. 10-pg., 2014-12-01. (13/25977-7)

MARTINS, RODRIGO S. V.; PANARIO, DANIEL; QURESHI, CLAUDIO; SCHMUTZ, ERIC. Periods of Iterations of Mappings over Finite Fields with Restricted Preimage Sizes. 29TH INTERNATIONAL CONFERENCE ON PROBABILISTIC, COMBINATORIAL AND ASYMPTOTIC METHODS FOR THE ANALYSIS OF ALGORITHMS, AOFA 2018, v. 110, p. 11-pg., 2018-01-01. (13/25977-7, 15/26420-1)

D'OLIVEIRA, RAFAEL G. L.; FIRER, MARCELO. A distance between channels: the average error of mismatched channels. DESIGNS CODES AND CRYPTOGRAPHY, v. 87, n. 2-3, p. 13-pg., 2019-03-01. (13/25977-7)

PINHEIRO, JERRY ANDERSON; MACHADO, ROBERTO ASSIS; FIRER, MARCELO. Combinatorial metrics: MacWilliams-type identities, isometries and extension property. DESIGNS CODES AND CRYPTOGRAPHY, v. 87, n. 2-3, p. 14-pg., 2019-03-01. (17/14616-4, 17/10018-5, 13/25977-7)

MIGAULT, DANIEL; SIMPLICIO, MARCOS A., JR.; BARROS, BRUNO M.; POURZANDI, MAKAN; ALMEIDA, THIAGO R. M.; ANDRADE, EWERTON R.; CARVALHO, TEREZA C. M. B.; LEE, K; LIU, L. A framework for enabling security services collaboration across multiple domains. 2017 IEEE 37TH INTERNATIONAL CONFERENCE ON DISTRIBUTED COMPUTING SYSTEMS (ICDCS 2017), v. N/A, p. 12-pg., 2017-01-01. (13/25977-7)

COSTA, SUELI I. R.; SANTOS, SANDRA A.; STRAPASSON, JOAO E.. Fisher information distance: A geometrical reading. DISCRETE APPLIED MATHEMATICS, v. 197, p. 11-pg., 2015-12-31. (13/07375-0, 11/01096-6, 13/05475-7, 13/25977-7)

CARDELL, SARA D.; NAPP, DIEGO; FIRER, MARCELO; IEEE. Unrestricted Generalized Column Distances: A Wider Definition. 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), v. N/A, p. 5-pg., 2019-01-01. (15/07246-0, 13/25977-7)

MACHADO, ROBERTO; FIRER, MARCELO; IEEE. Weights which respect support and NN-decoding. 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), v. N/A, p. 5-pg., 2019-01-01. (15/11286-8, 13/25977-7)

STREY, GISELLE; CAMPELLO, ANTONIO; STRAPASSON, JOAO E.; COSTA, SUELI I. R.; IEEE. Perfect Codes in Euclidean Lattices: Bounds and Case Studies. 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), v. N/A, p. 5-pg., 2019-01-01. (13/25977-7)

FREITAS, BRUNO S.; RUNGE, CRISTHOF J. R.; PORTUGHEIS, JAIME; DE OLIVEIRA, IVAN; DIAS, ULISSES; IEEE. Optimized OAM Laguerre-Gauss Alphabets for Demodulation using Machine Learning. 2020 IEEE 8TH INTERNATIONAL CONFERENCE ON PHOTONICS (ICP), v. N/A, p. 2-pg., 2020-01-01. (13/25977-7)

D'OLIVEIRA, RAFAEL G. L.; FIRER, MARCELO. MINIMUM DIMENSIONAL HAMMING EMBEDDINGS. Advances in Mathematics of Communications, v. 11, n. 2, SI, p. 359-366, MAY 2017. (13/25977-7)

STRAPASSON, JOAO E.; JORGE, GRASIELE C.; CAMPELLO, ANTONIO; COSTA, SUELI I. R.. Quasi-perfect codes in the l(p) metric. COMPUTATIONAL & APPLIED MATHEMATICS, v. 37, n. 2, p. 852-866, MAY 2018. (13/25977-7, 14/20602-8, 15/17167-0)

D'OLIVEIRA, RAFAEL G. L.; FIRER, MARCELO. GEOMETRY OF COMMUNICATION CHANNELS: METRIZATION AND DECODING. SYMMETRY-CULTURE AND SCIENCE, v. 27, n. 4, 1, p. 279-289, 2016. (13/25977-7)

ETZION, TUVI; FIRER, MARCELO; MACHADO, ROBERTO ASSIS. Metrics Based on Finite Directed Graphs and Coding Invariants. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 64, n. 4, 1, p. 2398-2409, APR 2018. (15/11286-8, 14/10745-6, 13/25977-7)

SHAH, TARIQ; JAHANGIR, SAIRA; DE ANDRADE, ANTONIO APARECIDO. Design of new 4 x 4S-box from finite commutative chain rings. COMPUTATIONAL & APPLIED MATHEMATICS, v. 36, n. 2, p. 843-857, JUN 2017. (13/25977-7)

PINHEIRO, JERRY ANDERSON; MACHADO, ROBERTO ASSIS; FIRER, MARCELO. Combinatorial metrics: MacWilliams-type identities, isometries and extension property. DESIGNS CODES AND CRYPTOGRAPHY, v. 87, n. 2-3, SI, p. 327-340, MAR 2019. (13/25977-7, 17/14616-4, 17/10018-5)

D'OLIVEIRA, RAFAEL G. L.; FIRER, MARCELO. A distance between channels: the average error of mismatched channels. DESIGNS CODES AND CRYPTOGRAPHY, v. 87, n. 2-3, SI, p. 481-493, MAR 2019. (13/25977-7)

COSTA, SUELI I. R.; SANTOS, SANDRA A.; STRAPASSON, JOAO E.. Fisher information distance: A geometrical reading. DISCRETE APPLIED MATHEMATICS, v. 197, n. SI, p. 59-69, DEC 31 2015. (13/25977-7, 13/05475-7, 13/07375-0, 11/01096-6)

COMINETTI, EDUARDO LOPES; SIMPLICIO, MARCOS A.. Fast Additive Partially Homomorphic Encryption From the Approximate Common Divisor Problem. IEEE Transactions on Information Forensics and Security, v. 15, p. 2988-2998, 2020. (13/25977-7)

ARAUJO, ROBSON R.; CHAGAS, ANA C. M. M.; ANDRADE, ANTONIO A.; NOBREGA NETO, TRAJANO P.. Trace form associated to cyclic number fields of ramified odd prime degree. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, v. 19, n. 4, APR 2020. (13/25977-7)

MACHADO, ROBERTO ASSIS; FIRER, MARCELO. Weights Which Respect Support and NN-Decoding. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 66, n. 6, p. 3664-3674, JUN 2020. (13/25977-7, 15/11286-8)

DE MIRANDA, FABIANO BOAVENTURA; TOREZZAN, CRISTIANO. A SHAPE-GAIN APPROACH FOR VECTOR QUANTIZATION BASED ON FLAT TORI. Advances in Mathematics of Communications, v. 14, n. 3, p. 467-476, AUG 2020. (13/25977-7)

FUSTER-SABATER, AMPARO; CARDELL, SARA D.. Linear complexity of generalized sequences by comparison of PN-sequences. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, v. 114, n. 2, JAN 25 2020. (13/25977-7)

QURESHI, CLAUDIO; COSTA, SUELI I. R.; RODRIGUES, CHRISTIANE BUFFO; FIRER, MARCELO. On Equivalence of Binary Asymmetric Channels Regarding the Maximum Likelihood Decoding. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 64, n. 5, p. 3528-3537, MAY 2018. (13/25977-7, 15/26420-1)

ELIMELECH, DOR; FIRER, MARCELO; SCHWARTZ, MOSHE. he Generalized Covering Radii of Linear Code. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 67, n. 12, p. 8070-8085, DEC 2021. (13/25977-7)

A.A. ANDRADE; A.J. FERRARI; J.C. INTERLANDO; R. R. ARAUJO. Constructions of Dense Lattices over Number Fields. TEMA (São Carlos), v. 21, n. 1, p. 57-63, 2020-04-30. (13/25977-7)

SIMPLICIO, MARCOS A.; COMINETTI, EDUARDO LOPES; PATIL, HARSH KUPWADE; RICARDINI, JEFFERSON E.; FERRAZ, LEONARDO T. D.; SILVA, MARCOS VINICIUS M.. Privacy-Preserving Certificate Linkage/Revocation in VANETs Without Linkage Authorities. IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS, v. 22, n. 6, p. 3326-3336, JUN 2021. (13/25977-7)

CARDELL, SARA D.; FIRER, MARCELO; NAPP, DIEGO. Generalized Column Distances. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 66, n. 11, p. 6863-6871, NOV 2020. (15/07246-0, 13/25977-7)

DE OLIVEIRA QUILLES QUEIROZ, CATIA REGINA; PALAZZO, JR., REGINALDO. Construction of Signal Sets From Quotient Rings of the Quaternion Orders Associated With Arithmetic Fuchsian Groups. IEEE ACCESS, v. 8, p. 196050-196061, 2020. (13/25977-7)

DE MIRANDA MARQUES, DANIEL HINDEMBURG; SHARMA, MANISH. Spectral efficiency of a non-orthogonal FH-CDMA system. IET COMMUNICATIONS, v. 14, n. 21, p. 3927-3933, DEC 22 2020. (13/25977-7)

BELLI, ROBERTO; RUNGE, CRISTHOF; PORTUGHEIS, JAIME; FINAMORE, WEILER. A capacity-approaching coding scheme for M-PAM VLC systems with dimming control. Optics Communications, v. 509, p. 5-pg., 2022-01-15. (13/25977-7)

MIYAMOTO, GABRIELLA AKEMI; FIRER, MARCELO. Obtaining Binary Perfect Codes Out of Tilings. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 66, n. 10, p. 12-pg., 2020-10-01. (13/25977-7)

DE ARAUJO, ROBSON R.; JORGE, GRASIELE C.. CONSTRUCTIONS OF FULL DIVERSITY D-n-LATTICES FOR ALL n. Rocky Mountain Journal of Mathematics, v. 50, n. 4, p. 14-pg., 2020-08-01. (15/17167-0, 13/25977-7)

D'OLIVEIRA, RAFAEL G. L.; FIRER, MARCELO. GEOMETRY OF COMMUNICATION CHANNELS: METRIZATION AND DECODING. SYMMETRY-CULTURE AND SCIENCE, v. 27, n. 4, p. 11-pg., 2016-01-01. (13/25977-7)

MIYAMOTO, GABRIELLA AKEMI; FIRER, MARCELO; IEEE. Metrics which turn tilings into binary perfect codes. 2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), v. N/A, p. 5-pg., 2019-01-01. (13/25977-7)

CARDELL, SARA D.; CLIMENT, JOAN-JOSEP; MARTIN, ALBERTO LOPEZ. SPC product codes, graphs with cycles and Kostka numbers. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, v. 113, n. 4, p. 3751-3765, OCT 2019. (13/25977-7)

FIRER, MARCELO; DA SILVA, EDUARDO BRANDANI. On the behavior of growth of polygons in semi-regular hyperbolic tessellations. COGENT MATHEMATICS, v. 4, 2017. (13/25977-7)

MACHADO, ROBERTO ASSIS; PINHEIRO, JERRY ANDERSON; FIRER, MARCELO. Characterization of Metrics Induced by Hierarchical Posets. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 63, n. 6, p. 3630-3640, JUN 2017. (15/11286-8, 16/01551-9, 13/25977-7)

QURESHI, CLAUDIO M.. Matched Metrics to the Binary Asymmetric Channels. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 65, n. 2, p. 1106-1112, FEB 2019. (13/25977-7, 15/26420-1)

RIOUL, OLIVIER; MAGOSSI, JOSE CARLOS. On Shannon's Formula and Hartley's Rule: Beyond the Mathematical Coincidence. Entropy, v. 16, n. 9, p. 4892-4910, SEP 2014. (14/13835-6, 13/25977-7)

QURESHI, CLAUDIO. On the non-existence of linear perfect Lee codes: The Zhang-Ge condition and a new polynomial criterion. EUROPEAN JOURNAL OF COMBINATORICS, v. 83, JAN 2020. (15/26420-1, 13/25977-7)

A. A. ANDRADE; J. C. INTERLANDO. Rotated ℤ n -Lattices via Real Subfields of ℚ ( ζ 2 r ). TEMA (São Carlos), v. 20, n. 3, p. 445-456, 2019-12-13. (13/25977-7)

FIRER, MARCELO; WALKER, JUDY L.. Matched Metrics and Channels. IEEE TRANSACTIONS ON INFORMATION THEORY, v. 62, n. 3, p. 1150-1156, MAR 2016. (13/25977-7)

TOREZZAN, CRISTIANO; PANEK, LUCIANO; FIRER, MARCELO. A low complexity coding and decoding strategy for the quadratic Gaussian CEO problem. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, v. 353, n. 3, p. 643-656, FEB 2016. (13/25977-7)

DE OLIVEIRA BENEDITO, CINTYA WINK; ALVES, CARINA; BRASIL JR, NELSON GOMES; RODRIGUES COSTA, SUELI IRENE. Algebraic construction of lattices via maximal quaternion orders. Journal of Pure and Applied Algebra, v. 224, n. 5, MAY 2020. (13/25977-7)

STRAPASSON, JOAO ELOIR. A note on suborthogonal lattices. Linear Algebra and its Applications, v. 543, p. 31-41, APR 15 2018. (13/25977-7)

ORTIZ, JHEYNE N.; DE ARAUJO, ROBSON R.; ARANHA, DIEGO F.; COSTA, SUELI I. R.; DAHAB, RICARDO. The Ring-LWE Problem in Lattice-Based Cryptography: The Case of Twisted Embeddings. Entropy, v. 23, n. 9, SEP 2021. (13/25977-7)

BOLLAUF, MAIARA F.; COSTA, SUELI I. R.; ZAMIR, RAM; IEEE. Lattice Construction C-star from Self-Dual Codes. 2020 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), v. N/A, p. 5-pg., 2020-01-01. (13/25977-7)

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Filed patent(s) as a result of this research project