Advances on superelliptic curves and their applications /:
This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as crypto...
Gespeichert in:
| Körperschaft: | |
|---|---|
| Weitere Verfasser: | , , |
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam :
IOS Press,
[2015]
|
| Schriftenreihe: | NATO science for peace and security series. Information and communication security ;
v. 41. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves. |
| Beschreibung: | "Proceedings of the NATO Advanced Study Institute on Hyperelliptic Curve Cryptography, Ohrid, Former Yugoslav Republic of Macedonia, 25 August-5 September, 2014"--Title page verso |
| Beschreibung: | 1 online resource (xii, 375 pages) : illustrations, tables |
| Bibliographie: | Includes bibliographical references at chapter ends, and indexes. |
| ISBN: | 9781614995203 1614995206 |
| ISSN: | 1879-8292 ; |
Internformat
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| 111 | 2 | |a NATO Advanced Study Institute on Hyperelliptic Curve Cryptography |d (2014 : |c Ohrid, Macedonia) | |
| 245 | 1 | 0 | |a Advances on superelliptic curves and their applications / |c edited by Lubjana Beshaj, Tony Shaska, and Eustrat Zhupa. |
| 264 | 1 | |a Amsterdam : |b IOS Press, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xii, 375 pages) : |b illustrations, tables | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a NATO science for peace series. D, |a Information and communication security, |x 1879-8292 ; |v vol. 41 | |
| 500 | |a "Proceedings of the NATO Advanced Study Institute on Hyperelliptic Curve Cryptography, Ohrid, Former Yugoslav Republic of Macedonia, 25 August-5 September, 2014"--Title page verso | ||
| 504 | |a Includes bibliographical references at chapter ends, and indexes. | ||
| 505 | 0 | 0 | |t The case for superelliptic curves / |r L. Beshaj, |r T. Shaska, and |r E. Zhupa -- |t Weierstrass points of superelliptic curves / |r C. Shor and |r T. Shaska -- |t Theta functions of superelliptic curves / |r Lubjana Beshaj, |r Artur Elezi, and |r Tony Shaska -- |t Cyclic curves over the reals / |r M. Izquierdo and |r T. Shaska -- |t Reduction theory of binary forms / |r Lubjana Beshaj -- |t Sato-Tate groups of genus 2 curves / |r Kiran S. Kedlaya -- |t Heights on algebraic curves / |r T. Shaska and |r L. Beshaj -- |t Descent and covering collections / |r Michael Stoll -- |t Chabauty and the Mordell-Weil sieve / |r Samir Siksek -- |t Rational points on Jacobians of hyperelliptic curves / |r Jan Steffen Müller -- |t Explicit [italic]p-adic methods for elliptic and hyperelliptic curves / |r Jennifer S. Balakrishnan -- |t Error correcting quantum codes and algebraic curves / |r Artur Elezi -- |t Graph based cubical multivariate maps and their cryptographical applications / |r Michał Klisowski and |r Vasyl Ustimenko -- |t Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes / |r Artur Elezi and |r Tony Shaska -- |t Galois geometries, codes, and new invariants for incidence structures / |r Vladimir D. Tonchev. |
| 520 | |a This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed July 22, 2015). | |
| 650 | 0 | |a Curves, Elliptic |v Congresses. | |
| 650 | 0 | |a Cryptography |v Congresses. | |
| 650 | 6 | |a Courbes elliptiques |v Congrès. | |
| 650 | 6 | |a Cryptographie |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Cryptography |2 fast | |
| 650 | 7 | |a Curves, Elliptic |2 fast | |
| 655 | 7 | |a proceedings (reports) |2 aat | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 655 | 7 | |a Conference papers and proceedings. |2 lcgft |0 http://id.loc.gov/authorities/genreForms/gf2014026068 | |
| 655 | 7 | |a Actes de congrès. |2 rvmgf | |
| 700 | 1 | |a Beshaj, Lubjana, |d 1986- |e editor. |1 https://id.oclc.org/worldcat/entity/E39PCjqW98YfFgMBpwcbMgPXwK |0 http://id.loc.gov/authorities/names/no2018143344 | |
| 700 | 1 | |a Shaska, Tony, |d 1967- |e editor. |1 https://id.oclc.org/worldcat/entity/E39PCjvQWpqDhkFqFGc4pTRR8C |0 http://id.loc.gov/authorities/names/n2017066794 | |
| 700 | 1 | |a Zhupa, Eustrat., |e editor. | |
| 776 | 0 | 8 | |i Print version: |a Beshaj, L. |t Advances on Superelliptic Curves and Their Applications. |d Burke : IOS Press, ©2015 |z 9781614995197 |
| 830 | 0 | |a NATO science for peace and security series. |n Sub-series D, |p Information and communication security ; |v v. 41. |x 1879-8292 |0 http://id.loc.gov/authorities/names/no2007140990 | |
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| author2 | Beshaj, Lubjana, 1986- Shaska, Tony, 1967- Zhupa, Eustrat |
| author2_role | edt edt edt |
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| author_GND | http://id.loc.gov/authorities/names/no2018143344 http://id.loc.gov/authorities/names/n2017066794 |
| author_additional | L. Beshaj, T. Shaska, and E. Zhupa -- C. Shor and T. Shaska -- Lubjana Beshaj, Artur Elezi, and Tony Shaska -- M. Izquierdo and Lubjana Beshaj -- Kiran S. Kedlaya -- T. Shaska and L. Beshaj -- Michael Stoll -- Samir Siksek -- Jan Steffen Müller -- Jennifer S. Balakrishnan -- Artur Elezi -- Michał Klisowski and Vasyl Ustimenko -- Artur Elezi and Vladimir D. Tonchev. |
| author_corporate | NATO Advanced Study Institute on Hyperelliptic Curve Cryptography Ohrid, Macedonia |
| author_corporate_role | |
| author_facet | Beshaj, Lubjana, 1986- Shaska, Tony, 1967- Zhupa, Eustrat NATO Advanced Study Institute on Hyperelliptic Curve Cryptography Ohrid, Macedonia |
| author_sort | NATO Advanced Study Institute on Hyperelliptic Curve Cryptography Ohrid, Macedonia |
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| callnumber-search | QA567.2.E44 |
| callnumber-sort | QA 3567.2 E44 |
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| contents | The case for superelliptic curves / Weierstrass points of superelliptic curves / Theta functions of superelliptic curves / Cyclic curves over the reals / Reduction theory of binary forms / Sato-Tate groups of genus 2 curves / Heights on algebraic curves / Descent and covering collections / Chabauty and the Mordell-Weil sieve / Rational points on Jacobians of hyperelliptic curves / Explicit [italic]p-adic methods for elliptic and hyperelliptic curves / Error correcting quantum codes and algebraic curves / Graph based cubical multivariate maps and their cryptographical applications / Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes / Galois geometries, codes, and new invariants for incidence structures / |
| ctrlnum | (OCoLC)914229605 |
| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic Conference Proceeding eBook |
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D,</subfield><subfield code="a">Information and communication security,</subfield><subfield code="x">1879-8292 ;</subfield><subfield code="v">vol. 41</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Proceedings of the NATO Advanced Study Institute on Hyperelliptic Curve Cryptography, Ohrid, Former Yugoslav Republic of Macedonia, 25 August-5 September, 2014"--Title page verso</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references at chapter ends, and indexes.</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">The case for superelliptic curves /</subfield><subfield code="r">L. Beshaj,</subfield><subfield code="r">T. Shaska, and</subfield><subfield code="r">E. Zhupa --</subfield><subfield code="t">Weierstrass points of superelliptic curves /</subfield><subfield code="r">C. Shor and</subfield><subfield code="r">T. 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| genre | proceedings (reports) aat Conference papers and proceedings fast Conference papers and proceedings. lcgft http://id.loc.gov/authorities/genreForms/gf2014026068 Actes de congrès. rvmgf |
| genre_facet | proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. |
| id | ZDB-4-EBA-ocn914229605 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:26:43Z |
| institution | BVB |
| isbn | 9781614995203 1614995206 |
| issn | 1879-8292 ; |
| language | English |
| oclc_num | 914229605 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 375 pages) : illustrations, tables |
| psigel | ZDB-4-EBA |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | IOS Press, |
| record_format | marc |
| series | NATO science for peace and security series. Information and communication security ; |
| series2 | NATO science for peace series. D, Information and communication security, |
| spelling | NATO Advanced Study Institute on Hyperelliptic Curve Cryptography (2014 : Ohrid, Macedonia) Advances on superelliptic curves and their applications / edited by Lubjana Beshaj, Tony Shaska, and Eustrat Zhupa. Amsterdam : IOS Press, [2015] ©2015 1 online resource (xii, 375 pages) : illustrations, tables text txt rdacontent computer c rdamedia online resource cr rdacarrier NATO science for peace series. D, Information and communication security, 1879-8292 ; vol. 41 "Proceedings of the NATO Advanced Study Institute on Hyperelliptic Curve Cryptography, Ohrid, Former Yugoslav Republic of Macedonia, 25 August-5 September, 2014"--Title page verso Includes bibliographical references at chapter ends, and indexes. The case for superelliptic curves / L. Beshaj, T. Shaska, and E. Zhupa -- Weierstrass points of superelliptic curves / C. Shor and T. Shaska -- Theta functions of superelliptic curves / Lubjana Beshaj, Artur Elezi, and Tony Shaska -- Cyclic curves over the reals / M. Izquierdo and T. Shaska -- Reduction theory of binary forms / Lubjana Beshaj -- Sato-Tate groups of genus 2 curves / Kiran S. Kedlaya -- Heights on algebraic curves / T. Shaska and L. Beshaj -- Descent and covering collections / Michael Stoll -- Chabauty and the Mordell-Weil sieve / Samir Siksek -- Rational points on Jacobians of hyperelliptic curves / Jan Steffen Müller -- Explicit [italic]p-adic methods for elliptic and hyperelliptic curves / Jennifer S. Balakrishnan -- Error correcting quantum codes and algebraic curves / Artur Elezi -- Graph based cubical multivariate maps and their cryptographical applications / Michał Klisowski and Vasyl Ustimenko -- Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes / Artur Elezi and Tony Shaska -- Galois geometries, codes, and new invariants for incidence structures / Vladimir D. Tonchev. This book had its origins in the NATO Advanced Study Institute (ASI) held in Ohrid, Macedonia, in 2014. The focus of this ASI was the arithmetic of superelliptic curves and their application in different scientific areas, including whether all the applications of hyperelliptic curves, such as cryptography, mathematical physics, quantum computation and diophantine geometry, can be carried over to the superelliptic curves. Additional papers have been added which provide some background for readers who were not at the conference, with the intention of making the book logically more complete and easier to read, but familiarity with the basic facts of algebraic geometry, commutative algebra and number theory are assumed. The book is divided into three sections. The first part deals with superelliptic curves with regard to complex numbers, the automorphisms group and the corresponding Hurwitz loci. The second part of the book focuses on the arithmetic of the subject, while the third addresses some of the applications of superelliptic curves. Online resource; title from PDF title page (EBSCO, viewed July 22, 2015). Curves, Elliptic Congresses. Cryptography Congresses. Courbes elliptiques Congrès. Cryptographie Congrès. MATHEMATICS Geometry General. bisacsh Cryptography fast Curves, Elliptic fast proceedings (reports) aat Conference papers and proceedings fast Conference papers and proceedings. lcgft http://id.loc.gov/authorities/genreForms/gf2014026068 Actes de congrès. rvmgf Beshaj, Lubjana, 1986- editor. https://id.oclc.org/worldcat/entity/E39PCjqW98YfFgMBpwcbMgPXwK http://id.loc.gov/authorities/names/no2018143344 Shaska, Tony, 1967- editor. https://id.oclc.org/worldcat/entity/E39PCjvQWpqDhkFqFGc4pTRR8C http://id.loc.gov/authorities/names/n2017066794 Zhupa, Eustrat., editor. Print version: Beshaj, L. Advances on Superelliptic Curves and Their Applications. Burke : IOS Press, ©2015 9781614995197 NATO science for peace and security series. Sub-series D, Information and communication security ; v. 41. 1879-8292 http://id.loc.gov/authorities/names/no2007140990 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1030187 Volltext |
| spellingShingle | Advances on superelliptic curves and their applications / NATO science for peace and security series. Information and communication security ; The case for superelliptic curves / Weierstrass points of superelliptic curves / Theta functions of superelliptic curves / Cyclic curves over the reals / Reduction theory of binary forms / Sato-Tate groups of genus 2 curves / Heights on algebraic curves / Descent and covering collections / Chabauty and the Mordell-Weil sieve / Rational points on Jacobians of hyperelliptic curves / Explicit [italic]p-adic methods for elliptic and hyperelliptic curves / Error correcting quantum codes and algebraic curves / Graph based cubical multivariate maps and their cryptographical applications / Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes / Galois geometries, codes, and new invariants for incidence structures / Curves, Elliptic Congresses. Cryptography Congresses. Courbes elliptiques Congrès. Cryptographie Congrès. MATHEMATICS Geometry General. bisacsh Cryptography fast Curves, Elliptic fast |
| subject_GND | http://id.loc.gov/authorities/genreForms/gf2014026068 |
| title | Advances on superelliptic curves and their applications / |
| title_alt | The case for superelliptic curves / Weierstrass points of superelliptic curves / Theta functions of superelliptic curves / Cyclic curves over the reals / Reduction theory of binary forms / Sato-Tate groups of genus 2 curves / Heights on algebraic curves / Descent and covering collections / Chabauty and the Mordell-Weil sieve / Rational points on Jacobians of hyperelliptic curves / Explicit [italic]p-adic methods for elliptic and hyperelliptic curves / Error correcting quantum codes and algebraic curves / Graph based cubical multivariate maps and their cryptographical applications / Weight distributions, zeta functions and Riemann hypothesis for linear and algebraic geometry codes / Galois geometries, codes, and new invariants for incidence structures / |
| title_auth | Advances on superelliptic curves and their applications / |
| title_exact_search | Advances on superelliptic curves and their applications / |
| title_full | Advances on superelliptic curves and their applications / edited by Lubjana Beshaj, Tony Shaska, and Eustrat Zhupa. |
| title_fullStr | Advances on superelliptic curves and their applications / edited by Lubjana Beshaj, Tony Shaska, and Eustrat Zhupa. |
| title_full_unstemmed | Advances on superelliptic curves and their applications / edited by Lubjana Beshaj, Tony Shaska, and Eustrat Zhupa. |
| title_short | Advances on superelliptic curves and their applications / |
| title_sort | advances on superelliptic curves and their applications |
| topic | Curves, Elliptic Congresses. Cryptography Congresses. Courbes elliptiques Congrès. Cryptographie Congrès. MATHEMATICS Geometry General. bisacsh Cryptography fast Curves, Elliptic fast |
| topic_facet | Curves, Elliptic Congresses. Cryptography Congresses. Courbes elliptiques Congrès. Cryptographie Congrès. MATHEMATICS Geometry General. Cryptography Curves, Elliptic proceedings (reports) Conference papers and proceedings Conference papers and proceedings. Actes de congrès. |
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