L\u2019ouvrage de Elwyn Berlekamp \u00ab Algebraic Coding Theory \u00bb ,1968 qui pr\u00e9sente en particulier un algorithme de factorisation de polyn\u00f4mes contribue aux investigations en alg\u00e8bre lin\u00e9aire des math\u00e9matique discr\u00e8tes.<\/strong><\/p>\n\n\n\nMR0194563 (33 #2773) Camion, P. Application d’une g\u00e9n\u00e9ralisation du lemme de Minty \u00e0 un probl\u00e8me d’unfimum de fonction convexe. (French)<\/p>\n\n\n\n
Cahiers Centre \u00c9tudes Recherche Op\u00e9r. 7 1965 230–247. (Reviewer: J. V. Ryff) 26.52<\/p>\n\n\n\n
MR0210849 (35 #1734) Camion, P. Erratum: \u00ab\u00a0Application d’une g\u00e9n\u00e9ralisation du lemme de Minty \u00e0 un probl\u00e8me d’infimum de fonction convexe\u00a0\u00bb. (French) Cahiers Centre \u00c9tudes Recherche Op\u00e9r. 8 1966 192–193. 26.52 (90.60)<\/p>\n\n\n\n
MR0295767 (45 #4832) Camion, Paul : D\u00e9termination de la borne inf\u00e9rieure d’une fonction convexe s\u00e9parable quelconque sur un tron\u00e7on de $R^{n}$. (French) Actes du Cinqui\u00e8me Congr\u00e8s de l’AFIRO (Lille, 1966), pp. 290–294. Assoc. Fran\u00e7aise Informat. Recherches Op\u00e9rationnelles [AFIRO], Paris, 1966. (Reviewer: J. Stoer) 90C25<\/p>\n\n\n\n
MR0191902 (33 #129) Camion, Paul; Hoffman, A. J. On the nonsingularity of complex matrices. Pacific J. Math. 17 1966 211–214. (Reviewer: M. Marcus) 15.05<\/p>\n\n\n\n
MR0279109 (43 #4835) Camion, Paul; Levy, L. S.; Mann, H. B. Linear equations over a commutative ring. J. Algebra 18 1971 432–446. (Reviewer: A. Jaeger) 15.10<\/p>\n\n\n\n
MR0297867 (45 #6919) Camion, Paul; Mann, H. B. Antisymmetric difference sets. J. Number Theory 4 (1972), 266–268. (Reviewer: A. P. Street) 20K99 (05B10)<\/p>\n\n\n\n
MR0314830 (47 #3380) Camion, Paul; Levy, L. S.; Mann, H. B. Pr\u00fcfer rings. J. Number Theory 5 (1973), 132–138. (Reviewer: Robert Gilmer) 13F05<\/p>\n\n\n\n
MR0595920 (81j:94019) Camion, Paul Un algorithme de construction des idempotents primitifs d’id\u00e9aux d’alg\u00e8bres sur $F_{q}$. (French) C. R. Acad. Sci. Paris S\u00e9r. A-B 291 (1980), no. 7, A479–A482. 94B15 (12C05)<\/p>\n\n\n\n
MR0668673 (84b:12027) Camion, Paul Factorisation des polyn\u00f4mes de $F_{q}[X]$. (French) [Factorization of the polynomials of $F_{q}[X]$] Rev. CETHEDEC Cahier 1981, no. 2, 5–21 (1982). (Reviewer: S. D. Cohen) 12C05 (94B15)<\/p>\n\n\n\n
MR0806969 (86j:11127) Camion, Paul Un algorithme de construction des idempotents primitifs d’id\u00e9aux d’alg\u00e8bres sur $F_q$. (French) [An algorithm for constructing primitive idempotents of ideals of algebras over $F_q$]<\/p>\n\n\n\n
Theory and practice of combinatorics, 55–63, North-Holland Math. Stud., 60, North-Holland, Amsterdam, 1982. (Reviewer: Maurice Mignotte) 11T99 (11Y16)<\/p>\n\n\n\n
MR0712404 (84k:12008) Camion, Paul F. Improving an algorithm for factoring polynomials over a finite field and constructing large irreducible polynomials. IEEE Trans. Inform. Theory 29 (1983), no. 3, 378–385.<\/p>\n\n\n\n
12C05 (12-04)<\/p>\n\n\n\n
MR0841289 (87i:11177) Camion, Paul A deterministic algorithm for factorizing polynomials of $F_q[X]$. Combinatorial mathematics (Marseille- Luminy, 1981), 149–157, North-Holland Math. Stud., 75, North-Holland, Amsterdam, 1983. (Reviewer: Jacques Wolfmann) 11T06 (11Y05 11Y16)<\/p>\n\n\n\n
MR1260335 (94m:65090) Augot, Daniel; Camion, Paul Forme de Frobenius et vecteurs cycliques. (French) [Frobenius form and cyclic vectors] C. R. Acad. Sci. Paris S\u00e9r. I Math. 318 (1994), no. 2, 183–188. 65J10 (15A21 65F30)<\/strong><\/p>\n\n\n\nMR1448351 (98d:15012) Augot, Daniel; Camion, Paul On the computation of minimal polynomials, cyclic vectors, and Frobenius forms. Linear Algebra Appl. 260 (1997), 61–94. (Reviewer: William H. Gustafson) 15A21 (15A33 65F30 68Q25)<\/p>\n\n\n\n
4 Th\u00e9orie alg\u00e9brique des codes<\/strong><\/p>\n\n\n\nLes deux grands auteurs, Elwyn Berlekamp \u00ab Algebraic Coding Theory \u00bb ,1968 et Philippe Delsarte , 1973 par sa th\u00e8se : \u00ab An Algebraic approach to association schemes and coding theory \u00bb, ont ouvert la voie \u00e0 la Th\u00e9orie alg\u00e9brique des codes. Les deux derni\u00e8res contributions pr\u00e9sent\u00e9es ici<\/strong><\/p>\n\n\n\nconstituent un ach\u00e8vement. Dans le prolongement de la th\u00e8se de Philippe Delsarte on apporte le meilleur \u00e9clairage de la th\u00e9orie alg\u00e9brique des codes par la th\u00e9orie des sch\u00e9mas d\u2019association.<\/strong><\/p>\n\n\n\nMR0214400 (35 #5251) Camion, Paul Codes correcteurs d’erreurs. (French) Rev. CETHEDEC Cahier No. 3 1966 46 pp. (Reviewer: H. F. Mattson, Jr.) 94.20<\/p>\n\n\n\n
MR0249172 (40 #2419) Camion, Paul A proof of some properties of Reed-Muller codes by means of the normal basis theorem. 1969<\/p>\n\n\n\n
Combinatorial Mathematics and its Applications (Proc. Conf., Univ. North Carolina, Chapel Hill, N.C., 1967) pp. 371–376 Univ. North Carolina Press, Chapel Hill, N.C. (Reviewer: M. A. Harrison) 94.10<\/p>\n\n\n\n
MR0321601 (47 #10134) Camion, P. Linear codes with given automorphism groups. Discrete Math. 3 (1972), 33–45. (Reviewer: H. F. Mattson, Jr.) 94A10<\/p>\n\n\n\n
MR0424388 (54 #12351) Camion, P.; Deza, M. Propri\u00e9t\u00e9s des codes de Goppa. (French) Rev. CETHEDEC No. 47 (1976), 75–82. (Reviewer: F. J. MacWilliams) 94A10<\/p>\n\n\n\n
MR0490415 (58 #9761) Camion, P. Certains aspects de la recherche sur<\/p>\n\n\n\n
les codes en bloc. (French) Rev. CETHEDEC No. 52 (1977), 17–28. (Reviewer: J.-M. Goethals) 94A10<\/p>\n\n\n\n
MR0444274 (56 #2632) Camion, Paul Codes quadratiques ab\u00e9liens et plans inversifs miqu\u00e9liens. (French) C. R. Acad. Sci. Paris S\u00e9r. A-B 284 (1977), no. 21, A1401–A1404. 94A10<\/p>\n\n\n\n
MR0579119 (81g:94030) Camion, Paul Codes ab\u00e9liens autoduaux. (French) Information theory (Proc. Internat. CNRS Colloq., Cachan, 1977) (French), pp. 189–201, Colloq. Internat. CNRS, 276, CNRS, Paris, 1978. 94B15<\/p>\n\n\n\n
MR0534527 (80h:94025) Camion, P. Dix ann\u00e9es de recherche sur les codes autoduaux. (French) Cahiers Centre \u00c9tudes Rech. Op\u00e9r. 21 (1979), no. 1, 3–15. (Reviewer: F. J. MacWilliams) 94B05 (12C05)<\/p>\n\n\n\n
MR0559450 (81b:94047) Camion, P. \u00c9tude de codes binaires ab\u00e9liens modulaires autoduaux de petites longueurs. (French) With a contribution by F. Preparata. Rev. CETHEDEC Cahier 1979, no. 2, 3–24. 94B35<\/p>\n\n\n\n
MR0569933 (81e:05042) Camion, Paul Difference sets in elementary abelian groups. S\u00e9minaire de Math\u00e9matiques Sup\u00e9rieures [Seminar on Higher Mathematics], 66. Presses de l’Universit\u00e9 de Montr\u00e9al, Montreal, Que., 1979. 96 pp. ISBN: 2-7606-0450-0 (Reviewer: F. J. MacWilliams) 05B10 (94B25)<\/p>\n\n\n\n
MR0888322 (88f:94033) Camion, P.; Courteau, B.; Fournier, G.; Kanetkar, S. V. Weight distribution of translates of linear codes and generalized Pless identities. J. Inform. Optim. Sci. 8 (1987), no. 1, 1–23. (Reviewer: Michele Elia) 94B05 (94B60)<\/p>\n\n\n\n
MR0597368 (82b:05028) Camion, P. Une g\u00e9n\u00e9ralisation dans les $p$-groupes ab\u00e9liens \u00e9l\u00e9mentaires, $p>2$, des th\u00e9or\u00e8mes de H. B. Mann et J. F. Dillon sur les ensembles \u00e0 diff\u00e9rences des $2$-groupes ab\u00e9liens \u00e9l\u00e9mentaires. (French) Combinatorics 79 (Proc. Colloq., Univ. Montr\u00e9al, Montreal, Que., 1979), Part II. Ann. Discrete Math. 9 (1980), 163–174. (Reviewer: R. J. McEliece) 05B10 (20K10)<\/p>\n\n\n\n
MR1008520 Camion, Paul Majority decoding of large repetition codes for the $r$-ary symmetric channel. Applied algebra, algebraic algorithms and error-correcting codes (Rome, 1988), 458–466, Lecture Notes in Comput. Sci., 357, Springer, Berlin, 1989. 94B70 (94B35)<\/p>\n\n\n\n
MR1023698 Camion, Paul; Politano, Jean-Luc Evaluation of a coding design for a very noisy channel. Coding theory and applications (Toulon, 1988), 301–311, Lecture Notes in Comput. Sci., 388, Springer, New York, 1989. 94A24<\/p>\n\n\n\n
MR1008531 (90j:94039) Camion, P. An iterative Euclidean algorithm.<\/p>\n\n\n\n
Applied algebra, algebraic algorithms and error-correcting codes (Menorca, 1987), 88–128, Lecture Notes in Comput. Sci., 356, Springer, Berlin, 1989. (Reviewer: J. A. Thiong-Ly) 94B35 (94A24)<\/p>\n\n\n\n
MR1168752 (93b:94024) Camion, Paul; Courteau, Bernard; Montpetit, Andr\u00e9 Weight distribution of cosets of $2$-error-correcting binary BCH codes of length $15, 63,$ and $255$. IEEE Trans. Inform. Theory 38 (1992), no. 4, 1353–1357. 94B15<\/p>\n\n\n\n
MR1325525 (96b:94028) Camion, Paul; Courteau, Bernard; Delsarte, Philippe On $r$-partition designs in Hamming spaces. Appl. Algebra Engrg. Comm. Comput. 2 (1992), no. 3, 147–162. 94B60 (05B30)<\/p>\n\n\n\n
MR1268644 Camion, P.; Courteau, B.; Monpetit, A. Coset weight enumerators of the extremal self-dual binary codes of length $32$. Eurocode ’92 (Udine, 1992), 17–29, CISM Courses and Lectures, 339,<\/p>\n\n\n\n
Springer, Vienna, 1993. 94B60<\/p>\n\n\n\n
MR1234685 (94i:94014) Camion, Paul Majority decoding of repetition codes for the $r$-ary symmetric channel. Combinatorial mathematics and applications (Calcutta, 1988). Sankhy\u0101Ser. A 54 (1992), Special Issue, 97–110. 94A40 (94B35)<\/p>\n\n\n\n
MR1667954 Camion, Paul Codes and association schemes: basic properties of association schemes relevant to coding. Handbook of coding theory, Vol. I, II, 1441–1566, North-Holland, Amsterdam, 1998. 94-02 (05E30 94Bxx)<\/p>\n\n\n\n
MR1816388 (2002b:94042) Camion, Paul Codes over $\\Bbb Z_{p^n}$ and association schemes. Codes and association schemes (Piscataway, NJ, 1999), 59–86, DIMACS Ser. Discrete Math. Theoret. Comput. Sci., 56,<\/p>\n\n\n\n
Amer. Math. Soc., Providence, RI, 2001. (Reviewer: Ian Blake) 94B25 (05E30)<\/p>\n\n\n\n
MR1703427 (2000g:05150) Camion, P.; Courteau, B.; Montpetit, A. Metric coset schemes revisited. Symposium \u00e0 la M\u00e9moire de Fran\u00e7ois Jaeger (Grenoble, 1998). Ann. Inst. Fourier (Grenoble) 49 (1999), no. 3, 829–859. (Reviewer: Andrew Woldar) 05E30<\/p>\n\n\n\n
5 Cryptographie<\/strong><\/p>\n\n\n\nOn se consacre aux contributions de l\u2019alg\u00e8bre et de la combinatoire \u00e0 la cryptographie. La raison en est que longtemps la loi fran\u00e7aise interdisait la publication de proc\u00e9d\u00e9s de chiffrement.<\/strong><\/p>\n\n\n\n920. Camion, P.; (1974). \u00ab\u00a0Unbiased die rolling with a biased die.\u00a0\u00bb Paper<\/p>\n\n\n\n
http:\/\/www.stat.ncsu.edu\/information\/library\/mimeo.php<\/a><\/p>\n\n\n\nMR0888626 (88j:94028) Camion, Paul Can a fast signature scheme without secret key be secure? Applied algebra, algorithmics and error- correcting codes (Toulouse, 1984), 215–241, Lecture Notes in Comput. Sci., 228, Springer, Berlin, 1986. (Reviewer: Albrecht Beutelspacher) 94A60<\/p>\n\n\n\n
MR0994660 Godlewski, Ph.; Camion, P. Manipulations and errors, detection and localization. Advances in cryptology—EUROCRYPT ’88 (Davos, 1988), 97–106, Lecture Notes in Comput. Sci., 330, Springer, Berlin, 1988. 94A60 (94A13)<\/p>\n\n\n\n
MR1227794 Camion, Paul; Patarin, Jacques The knapsack hash function<\/p>\n\n\n\n
proposed at CRYPTO ’89 can be broken. Advances in cryptology—<\/p>\n\n\n\n
EUROCRYPT ’91 (Brighton, 1991), 39–53, Lecture Notes in Comput. Sci., 547, Springer, Berlin, 1991. 94A60<\/p>\n\n\n\n
MR1243645 (94f:94005) Camion, P.; Carlet, C.; Charpin, P.; Sendrier, N. On correlation-immune functions. Advances in cryptology—CRYPTO ’91 (Santa Barbara, CA, 1991), 86–100, Lecture Notes in Comput. Sci., 576,<\/p>\n\n\n\n
Springer, Berlin, 1992. 94A60 (94A55)<\/p>\n\n\n\n
MR1421588 (97g:94022) Camion, Paul; Canteaut, Anne Construction of $t$-resilient functions over a finite alphabet. Advances in cryptology—<\/p>\n\n\n\n
EUROCRYPT ’96 (Saragossa, 1996), 283–293, Lecture Notes in Comput. Sci., 1070, Springer, Berlin, 1996. 94A60<\/p>\n\n\n\n
MR1480686 (98g:94019) Camion, Paul; Canteaut, Anne Generalization of Siegenthaler inequality and Schnorr-Vaudenay multipermutations.<\/p>\n\n\n\n
Advances in cryptology—CRYPTO ’96 (Santa Barbara, CA), 372–386, Lecture Notes in Comput. Sci., 1109, Springer, Berlin, 1996. 94A55 (94A60)<\/p>\n\n\n\n
MR1681519 (2000h:94028) Camion, Paul; Canteaut, Anne Correlation- immune and resilient functions over a finite alphabet and their applications in cryptography. Des. Codes Cryptogr. 16 (1999), no. 2, 121–149.<\/p>\n\n\n\n
MR1697178 (2000m:94018) Camion, Paul; Chabanne, Herv\u00e9 On the powerline system. Appl. Algebra Engrg. Comm. Comput. 9 (1999), no. 5, 405–432. (Reviewer: Claus-Peter Schnorr) 94A60<\/p>\n\n\n\n
MR2088610 (2005e:94097) Camion, Paul; Mihaljevi\u0107, Miodrag J.; Imai, Hideki Two alerts for design of certain stream ciphers: trapped LFSR and weak resilient function over ${\\rm GF}(q)$. Selected areas in cryptography, 196–213, Lecture Notes in Comput. Sci., 2595, Springer, Berlin, 2003. 94A55 (94A60)<\/p>\n\n\n\n
MR2389970 (2009c:94041) Camion, Paul; Patarin, Jacques $t$-resilient functions and the partial exposure problem. Appl. Algebra Engrg. Comm. Comput. 19 (2008), no. 2, 99–133. 94A60<\/p>\n","protected":false},"excerpt":{"rendered":"
Parcours Parcours et r\u00e9sultats marquants. Paul Camion est n\u00e9 en Belgique en 1932. Il est dipl\u00f4m\u00e9 de la Facult\u00e9 Polytechnique de Mons en 1954. Lors de son service militaire il a une formation d\u2019officier du G\u00e9nie \u00e0 Jambes, Namur. Il participe \u00e0 une man\u0153uvre de l\u2019OTAN en Allemagne o\u00f9 il est bless\u00e9 dans un accident. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-65","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/pages\/65","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/comments?post=65"}],"version-history":[{"count":2,"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/pages\/65\/revisions"}],"predecessor-version":[{"id":67,"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/pages\/65\/revisions\/67"}],"wp:attachment":[{"href":"https:\/\/www.imj-prg.fr\/co\/wp-json\/wp\/v2\/media?parent=65"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}