World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 45 1455 1250 84 78 427 9736
Engineering and Technology 44 5740 5538 115 113 365 9181

Patrick Solé publications per year

The chart shows the history of publications by Patrick Solé between 1984 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Patrick Solé published across 43 years, from 1984 to 2026, averaging 11.8 papers a year. Output peaked at 42 publications in 2017. 26 of the 509 publications appeared in the last two years.

No. of publications
10 20 30 40
Bar chart. Horizontal axis: year, 1984 to 2026. Vertical axis: number of publications, 0 to 42. Peak 42 publications in 2017. 1984: 1 publication 1985: 0 publications 1986: 1 publication 1987: 0 publications 1988: 4 publications 1989: 6 publications 1990: 6 publications 1991: 8 publications 1992: 4 publications 1993: 13 publications 1994: 9 publications 1995: 7 publications 1996: 1 publication 1997: 9 publications 1998: 5 publications 1999: 11 publications 2000: 8 publications 2001: 14 publications 2002: 11 publications 2003: 7 publications 2004: 13 publications 2005: 6 publications 2006: 5 publications 2007: 14 publications 2008: 9 publications 2009: 6 publications 2010: 8 publications 2011: 12 publications 2012: 13 publications 2013: 10 publications 2014: 8 publications 2015: 23 publications 2016: 25 publications 2017: 42 publications 2018: 31 publications 2019: 20 publications 2020: 20 publications 2021: 37 publications 2022: 12 publications 2023: 24 publications 2024: 20 publications 2025: 25 publications 2026: 1 publication
1984 2026

509 publications in total across all disciplines

View publications per year as a table
Patrick Solé: publications per year, 1984 to 2026
Year Publications
1984 1
1985 0
1986 1
1987 0
1988 4
1989 6
1990 6
1991 8
1992 4
1993 13
1994 9
1995 7
1996 1
1997 9
1998 5
1999 11
2000 8
2001 14
2002 11
2003 7
2004 13
2005 6
2006 5
2007 14
2008 9
2009 6
2010 8
2011 12
2012 13
2013 10
2014 8
2015 23
2016 25
2017 42
2018 31
2019 20
2020 20
2021 37
2022 12
2023 24
2024 20
2025 25
2026 1
Total 509
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Patrick Solé publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Patrick Solé sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 427–431 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 427 publications — 95th percentile

95% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5 427
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Patrick Solé D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Patrick Solé sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 45 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 45 D-Index — 61st percentile

61% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112 45
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
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Overview

Patrick Solé is affiliated with Télécom ParisTech in France and has contributed extensively to research in the fields of Computer Science and Engineering. Their work spans several subfields including Artificial Intelligence, Electrical and Electronic Engineering, Discrete Mathematics and Combinatorics, Computer Networks and Communications, and Computational Theory and Mathematics.

The scientist's primary research topics cover coding theory and cryptography, graph theory and CDMA systems, finite group theory research, cooperative communication and network coding, cellular automata and applications, quantum computing algorithms and architecture, and error-correcting code techniques.

Among Patrick Solé's recent publications are:

  • Cyber-Security Threats and Side-Channel Attacks for Digital Agriculture (2022, Sensors)
  • LCD codes from tridiagonal Toeplitz matrices (2021, Finite Fields and Their Applications)
  • LCD and ACD codes over a noncommutative non-unital ring with four elements (2021, Cryptography and Communications)
  • A Multisecret-Sharing Scheme Based on LCD Codes (2020, Mathematics)
  • Polycyclic codes as invariant subspaces (2020, Finite Fields and Their Applications)

Frequent co-authors in Patrick Solé's collaborations include Minjia Shi, Adel Alahmadi, Jon-Lark Kim, Hatoon Shoaib, and Ferruh Özbudak.

Publication venues where Patrick Solé's work appears frequently include:

  • arXiv (Cornell University)
  • Mathematics
  • Designs Codes and Cryptography
  • Discrete Mathematics
  • HAL (Le Centre pour la Communication Scientifique Directe)

Best Publications

  • The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes

    A.R. Hammons;P.V. Kumar;A.R. Calderbank;N.J.A. Sloane

  • On the algebraic structure of quasi-cyclic codes .I. Finite fields

    San Ling;P. Sole

  • Type II codes over F/sub 2/+uF/sub 2/

    S.T. Dougherty;P. Gaborit;M. Harada;P. Sole

  • Pyramidal lattice vector quantization for multiscale image coding

    M. Barlaud;P. Sole;T. Gaidon;M. Antonini

  • Quaternary quadratic residue codes and unimodular lattices

    A. Bonnecaze;P. Sole;A.R. Calderbank

  • On Robin's criterion for the Riemann Hypothesis

    YoungJu Choie;Nicolas Lichiardopol;Pieter Moree;Patrick Solé

  • Skew constacyclic codes over Galois rings

    Delphine Boucher;Patrick Sole;Félix Ulmer

  • Type II codes over Z/sub 4/

    A. Bonnecaze;P. Sole;C. Bachoc;B. Mourrain

  • Cyclic Self-DualZ4-Codes

    Vera Pless;Patrick Solé;Zhongqiang Qian

  • A linear construction for certain Kerdock and Preparata codes

    A. R. Calderbank;A. R. Hammons;P. Vijay Kumar;N. J. A. Sloane

  • Lattice Codes for the Wiretap Gaussian Channel: Construction and Analysis

    Frederique Oggier;Patrick Sole;Jean-Claude Belfiore

  • The combinatorics of LCD codes: linear programming bound and orthogonal matrices

    Steven T. Dougherty;Jon Lark Kim;Buket Ozkaya;Lin Sok

  • A quaternary cyclic code, and a family of quadriphase sequences with low correlation properties

    Patrick Solé

  • On the Algebraic Structure of Quasi-cyclic Codes II: Chain Rings

    San Ling;Patrick Solé

  • Type IV self-dual codes over rings

    S.T. Dougherty;P. Gaborit;M. Harada;A. Munemasa

  • Quasi-cyclic complementary dual codes

    Cem Güneri;Buket Özkaya;Patrick Solé

  • On the algebraic structure of quasi-cyclic codes III: generator theory

    San Ling;P. Sole

  • Self-dual codes over rings and the Chinese remainder theorem

    Steven T. Dougherty;Masaaki Harada;Patrick Solé

  • Cyber-Security Threats and Side-Channel Attacks for Digital Agriculture

    Unknown

  • Completely regular codes and completely transitive codes

    P. Solé

  • Spectra of regular graphs and hypergraphs and orthogonal polynomials

    Wen-Ch'ing Winnie Li;Patrick Solé

  • Lattice codes for the Gaussian wiretap channel

    Jean-Claude Belfiore;Frédérique Oggier;Patrick Solé

  • A linear construction for certain Kerdock and Preparata codes

    A. R. Calderbank;A. Roger Hammons;P. Vijay Kumar;N. J. A. Sloane

Frequent Co-Authors

San Ling
San Ling Nanyang Technological University
Philippe Gaborit
Philippe Gaborit University of Limoges
Frédérique Oggier
Frédérique Oggier Nanyang Technological University
Jean-Claude Belfiore
Jean-Claude Belfiore Huawei Technologies (China)
Arif Ghafoor
Arif Ghafoor Purdue University West Lafayette
Carsten Thomassen
Carsten Thomassen Technical University of Denmark
Tor Helleseth
Tor Helleseth University of Bergen
A.R. Calderbank
A.R. Calderbank Duke University
Neil J. A. Sloane
Neil J. A. Sloane OEIS Foundation Inc.
Sylvain Guilley
Sylvain Guilley Télécom ParisTech

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