Valery Goppa
{{Short description|Soviet and Russian mathematician}}
Valery Denisovich Goppa ({{langx|ru|Вале́рий Дени́сович Го́ппа}}; born 1939Stepan G. Korneev, [https://books.google.com/books?id=_9S4AAAAIAAJ&q=%D0%93%D0%BE%D0%BF%D0%BF%D0%B0,+%D0%92%D0%B0%D0%BB%D0%B5%D1%80%D0%B8%D0%B9+%D0%94%D0%B5%D0%BD%D0%B8%D1%81%D0%BE%D0%B2%D0%B8%D1%87&dq=%D0%93%D0%BE%D0%BF%D0%BF%D0%B0,+%D0%92%D0%B0%D0%BB%D0%B5%D1%80%D0%B8%D0%B9+%D0%94%D0%B5%D0%BD%D0%B8%D1%81%D0%BE%D0%B2%D0%B8%D1%87&ei=0OVsS8qhHInSNKngsIQL&cd=4 Soviet scientists - honorary members of foreign scientific societies.]{{in lang|ru}} Nauka, Moscow, 1981; p. 41) is a Soviet and Russian mathematician.
He discovered a relation between algebraic geometry and codes, utilizing the Riemann-Roch theorem. Today these codes are called algebraic geometry codes.{{cite book |first1=William Cary |last1=Huffman |first2=Vera S. |last2=Pless |author-link2=Vera Pless |title=Fundamentals of Error-Correcting Codes |publisher=Cambridge University Press |year=2003 |isbn=978-0-521-78280-7 |id=0-521-78280-5 |page=521 |url=https://books.google.com/books?id=wzPgDaJzJL4C&pg=PA521 |access-date=2016-02-02}} In 1981 he presented his discovery at the algebra seminar of the Moscow State University.
He also constructed other classes of codes in his career, and in 1972 he won the best paper award of the IEEE Information Theory Society for his paper "A new class of linear correcting codes".{{cite web |title=Information Theory Society Paper Award |url=http://www.itsoc.org/honors/information-theory-paper-award |publisher=IEEE Information Theory Society |access-date={{Format date|2013|3|6}}}} It is this class of codes that bear the name of “Goppa code”.
Selected publications
- {{Cite book | year = 1988 | author = V. D. Goppa | title = Geometry and Codes (Mathematics and its Applications) | publisher = Springer | location = Berlin | isbn = 90-277-2776-7}}
- {{Cite book | year = 1995 | author = E. N. Gozodnichev; V. D. Goppa | title = Algebraic Information Theory (Series on Soviet and East European Mathematics, Vol 11) | publisher = World Scientific Pub Co Inc | isbn = 981-02-0943-6}}
- {{Cite journal | year = 1970 | author = VD Goppa | title = A New Class of Linear Error Correcting Codes | journal = Problemy Peredachi Informatsii}}
- {{Cite journal | year = 1971 | author = VD Goppa | title = Rational Representation of Codes and (L,g)-Codes | journal = Problemy Peredachi Informatsii}}
- {{Cite journal | year = 1972 | author = VD Goppa | title = Codes Constructed on the Base of $(L,g)$-Codes | journal = Probl. Peredachi Inf | volume = 8 | issue = 2 | pages = 107–109}}
- {{Cite journal | year = 1974 | author = VD Goppa | title = Binary Symmetric Channel Capacity Is Attained with Irreducible Codes | journal = Probl. Peredachi Inf | volume = 10 | issue = 1 | pages = 111–112}}
- {{Cite journal | year = 1974 | author = VD Goppa | title = Correction of Arbitrary Noise by Irreducible Codes | journal = Probl. Peredachi Inf | volume = 10 | issue = 3 | pages = 118–119}}
- {{Cite journal | year = 1977 | author = VD Goppa | title = Codes Associated with Divisors | journal = Probl. Peredachi Inf | volume = 13 | issue = 1 | pages = 33–39}}
- {{Cite journal | year = 1983 | author = VD Goppa | title = Algebraico-Geometric Codes | journal = Math. USSR Izv. | volume = 21 | issue = 1 | pages = 75–91 | doi = 10.1070/IM1983v021n01ABEH001641| bibcode = 1983IzMat..21...75G }}
- {{Cite journal | year = 1984 | author = VD Goppa | title = Codes and information | journal = Russ. Math. Surv. | volume = 39 | issue = 1 | pages = 87–141 | doi = 10.1070/RM1984v039n01ABEH003062| bibcode = 1984RuMaS..39...87G | s2cid = 250898540 }}
- {{Cite journal | year = 1995 | author = VD Goppa | title = Group representations and algebraic information theory | journal = Izv. Math. | volume = 59 | issue = 6 | pages = 1123–1147 | doi = 10.1070/IM1995v059n06ABEH000051| bibcode = 1995IzMat..59.1123G | s2cid = 250882696 }}
References
{{reflist}}
- {{Cite web|url=http://www.usna.edu/Users/math/wdj/book/node205.html|title=A brief guide to Goppa codes|author=David Joyner|date=23 August 2002}}
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Category:Russian mathematicians