2008 | ||
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87 | Joachim von zur Gathen, José Luis Imaña, Çetin Kaya Koç: Arithmetic of Finite Fields, 2nd International Workshop, WAIFI 2008, Siena, Italy, July 6-9, 2008, Proceedings Springer 2008 | |
86 | EE | Joachim von zur Gathen, Igor Shparlinski: Approximate Polynomial gcd: Small Degree and Small Height Perturbations. LATIN 2008: 276-283 |
2007 | ||
85 | EE | Joachim von zur Gathen: Counting reducible and singular bivariate polynomials. ISSAC 2007: 369-376 |
84 | EE | Joachim von zur Gathen, Amin Shokrollahi, Jamshid Shokrollahi: Efficient Multiplication Using Type 2 Optimal Normal Bases. WAIFI 2007: 55-68 |
83 | EE | Joachim von zur Gathen: Zimmermann Telegram: The Original Draft. Cryptologia 31(1): 2-37 (2007) |
2006 | ||
82 | EE | Joachim von zur Gathen: Who was who in polynomial factorization: 1. ISSAC 2006: 2 |
81 | EE | Joachim von zur Gathen, Igor Shparlinski: GCD of Random Linear Combinations. Algorithmica 46(1): 137-148 (2006) |
2005 | ||
80 | EE | Joachim von zur Gathen, Jamshid Shokrollahi: Efficient FPGA-Based Karatsuba Multipliers for Polynomials over F2. Selected Areas in Cryptography 2005: 359-369 |
79 | EE | Joachim von zur Gathen, Michael Nöcker: Polynomial and Normal Bases for Finite Fields. J. Cryptology 18(4): 337-355 (2005) |
2004 | ||
78 | EE | Joachim von zur Gathen, Igor Shparlinski: GCD of Random Linear Forms. ISAAC 2004: 464-469 |
77 | EE | Joachim von zur Gathen: Arithmetic Circuits for Discrete Logarithms. LATIN 2004: 557-566 |
76 | EE | Joachim von zur Gathen, Igor Shparlinski: Polynomial interpolation from multiples. SODA 2004: 1132-1137 |
75 | EE | Joachim von zur Gathen, Igor Shparlinski: Predicting Subset Sum Pseudorandom Generators. Selected Areas in Cryptography 2004: 241-251 |
74 | Joachim von zur Gathen, Michael Nöcker: Computing special powers in finite fields. Math. Comput. 73(247): 1499-1523 (2004) | |
73 | EE | Joachim von zur Gathen, Michael Nöcker: Fast arithmetic with general Gauß periods. Theor. Comput. Sci. 315(2-3): 419-452 (2004) |
2003 | ||
72 | EE | Cornelia Grabbe, Marcus Bednara, Joachim von zur Gathen, Jamshid Shokrollahi, Jürgen Teich: A High Performance VLIW Processor for Finite Field Arithmetic. IPDPS 2003: 189 |
71 | EE | Cornelia Grabbe, Marcus Bednara, Jürgen Teich, Joachim von zur Gathen, Jamshid Shokrollahi: FPGA designs of parallel high performance GF(2233) multipliers. ISCAS (2) 2003: 268-271 |
70 | Joachim von zur Gathen, Jaime Gutierrez, Rosario Rubio: Multivariate Polynomial Decomposition. Appl. Algebra Eng. Commun. Comput. 14(1): 11-31 (2003) | |
69 | EE | Eric Allender, Anna Bernasconi, Carsten Damm, Joachim von zur Gathen, Michael E. Saks, Igor Shparlinski: Complexity of some arithmetic problems for binary polynomials. Computational Complexity 12(1-2): 23-47 (2003) |
68 | Joachim von zur Gathen: Irreducible trinomials over finite fields. Math. Comput. 72(244): 1987-2000 (2003) | |
67 | EE | Joachim von zur Gathen, Igor Shparlinski, Alistair Sinclair: Finding Points on Curves over Finite Fields. SIAM J. Comput. 32(6): 1436-1448 (2003) |
66 | EE | Joachim von zur Gathen, Thomas Lücking: Subresultants revisited. Theor. Comput. Sci. 297(1-3): 199-239 (2003) |
2002 | ||
65 | EE | Marcus Bednara, M. Daldrup, Joachim von zur Gathen, Jamshid Shokrollahi, Jürgen Teich: Reconfigurable Implementation of Elliptic Curve Crypto Algorithms. IPDPS 2002 |
64 | EE | Marcus Bednara, M. Daldrup, Jürgen Teich, Joachim von zur Gathen, Jamshid Shokrollahi: Tradeoff analysis of FPGA based elliptic curve cryptography. ISCAS (5) 2002: 797-800 |
63 | Joachim von zur Gathen, Jürgen Gerhard: Polynomial factorization over F2. Math. Comput. 71(240): 1677-1698 (2002) | |
2001 | ||
62 | EE | Joachim von zur Gathen: Irreducible trinomials over finite fields. ISSAC 2001: 332-336 |
61 | Joachim von zur Gathen, Daniel Panario: Factoring Polynomials Over Finite Fields: A Survey. J. Symb. Comput. 31(1/2): 3-17 (2001) | |
2000 | ||
60 | Joachim von zur Gathen, Thomas Lücking: Subresultants Revisited. LATIN 2000: 318-342 | |
59 | Shuhong Gao, Joachim von zur Gathen, Daniel Panario, Victor Shoup: Algorithms for Exponentiation in Finite Fields. J. Symb. Comput. 29(6): 879-889 (2000) | |
58 | Joachim von zur Gathen, Igor Shparlinski: The CREW PRAM Complexity of Modular Inversion. SIAM J. Comput. 29(6): 1839-1857 (2000) | |
1999 | ||
57 | Joachim von zur Gathen, Igor Shparlinski: Constructing Elements of Large Order in Finite Fields. AAECC 1999: 404-409 | |
56 | EE | Gene Cooperman, Sandra Feisel, Joachim von zur Gathen, George Havas: GCD of Many Integers. COCOON 1999: 310-317 |
55 | EE | Joachim von zur Gathen, Michael Nöcker: Computing Special Powers in Finite Fields (extended abstract). ISSAC 1999: 83-90 |
54 | Sandra Feisel, Joachim von zur Gathen, Amin Shokrollahi: Normal bases via general Gauss periods. Math. Comput. 68(225): 271-290 (1999) | |
1998 | ||
53 | EE | Joachim von zur Gathen, Igor Shparlinski: The CREW PRAM Complexity of Modular Inversion. LATIN 1998: 305-315 |
52 | EE | Joachim von zur Gathen, Igor Shparlinski: Orders of Gauss Periods in Finite Fields. Appl. Algebra Eng. Commun. Comput. 9(1): 15-24 (1998) |
51 | Joachim von zur Gathen, Silke Hartlieb: Factoring Modular Polynomials. J. Symb. Comput. 26(5): 583-606 (1998) | |
50 | Shuhong Gao, Joachim von zur Gathen, Daniel Panario: Gauss periods: orders and cryptographical applications. Math. Comput. 67(221): 343-352 (1998) | |
49 | Joachim von zur Gathen, Igor Shparlinski: Computing components and projections of curves over finite fields. SIAM J. Comput. 28(3): 822-840 (1998) | |
1997 | ||
48 | Joachim von zur Gathen, Michael Nöcker: Exponentiation in Finite Fields: Theory and Practice. AAECC 1997: 88-113 | |
47 | Joachim von zur Gathen, Jürgen Gerhard: Fast Algorithms for Taylor Shifts and Certain Difference Equations. ISSAC 1997: 40-47 | |
46 | Joachim von zur Gathen, James R. Roche: Polynomials with two Values. Combinatorica 17(3): 345-362 (1997) | |
45 | Joachim von zur Gathen, Marek Karpinski, Igor Shparlinski: Counting Curves and Their Projections. Computational Complexity 6(1): 64-99 (1997) | |
1996 | ||
44 | EE | Joachim von zur Gathen, Jürgen Gerhard: Arithmetic and Factorization of Polynomial Over F2 (extended abstract). ISSAC 1996: 1-9 |
43 | EE | Joachim von zur Gathen, Silke Hartlieb: Factoring Modular Polynomials (extended abstract). ISSAC 1996: 10-17 |
1995 | ||
42 | Joachim von zur Gathen, Igor Shparlinski: Finding Points on Curves over Finite Fields (Extended Abstract). FOCS 1995: 284-292 | |
41 | Joachim von zur Gathen, Igor Shparlinski: Orders of Gauss Periods in Finite Fields. ISAAC 1995: 208-215 | |
40 | Shuhong Gao, Joachim von zur Gathen, Daniel Panario: Gauss Periods and Fast Exponentiation in Finite Fields (Extended Abstract). LATIN 1995: 311-322 | |
39 | Keju Ma, Joachim von zur Gathen: The Computational Complexity of Recognizing Permutation Functions. Computational Complexity 5(1): 76-97 (1995) | |
38 | Joachim von zur Gathen, Jürgen Weiss: Homogeneous Bivariate Decompositions. J. Symb. Comput. 19(5): 409-434 (1995) | |
1994 | ||
37 | Joachim von zur Gathen, Igor Shparlinski: Components and Projections of Curves over Finite Fields. ISAAC 1994: 297-305 | |
36 | EE | Keju Ma, Joachim von zur Gathen: The computational complexity of recognizing permutation functions. STOC 1994: 392-401 |
1993 | ||
35 | EE | Joachim von zur Gathen, Marek Karpinski, Igor Shparlinski: Counting curves and their projections. STOC 1993: 805-812 |
1992 | ||
34 | Joachim von zur Gathen, Victor Shoup: Computing Frobenius Maps and Factoring Polynomials (Extended Abstract) STOC 1992: 97-105 | |
33 | Joachim von zur Gathen, Victor Shoup: Computing Frobenius Maps and Factoring Polynomials. Computational Complexity 2: 187-224 (1992) | |
32 | Joachim von zur Gathen: Processor-Efficient Exponentiation in Finite Fields. Inf. Process. Lett. 41(2): 81-86 (1992) | |
1991 | ||
31 | Joachim von zur Gathen: Efficient Exponentiation in Finite Fields (Extended Abstract) FOCS 1991: 384-391 | |
30 | Joachim von zur Gathen: Efficient and Optimal Exponentiation in Finite Fields. Computational Complexity 1: 360-394 (1991) | |
29 | Joachim von zur Gathen, Gadiel Seroussi: Boolean Circuits Versus Arithmetic Circuits Inf. Comput. 91(1): 142-154 (1991) | |
28 | Joachim von zur Gathen: Tests for Permutation Polynomials. SIAM J. Comput. 20(3): 591-602 (1991) | |
1990 | ||
27 | EE | Joachim von zur Gathen: Polynomials over Finite Fields with Large Images. ISSAC 1990: 140-144 |
26 | Joachim von zur Gathen: Functional Decomposition of Polynomials: The Wild Case. J. Symb. Comput. 10(5): 437-452 (1990) | |
25 | Joachim von zur Gathen, Mark Giesbrecht: Constructing Normal Bases in Finite Fields. J. Symb. Comput. 10(6): 547-570 (1990) | |
24 | Joachim von zur Gathen: Inversion in Finite Fields Using Logarithmic Depth. J. Symb. Comput. 9(2): 175-183 (1990) | |
23 | Joachim von zur Gathen: Functional Decomposition of Polynomials: The Tame Case. J. Symb. Comput. 9(3): 281-299 (1990) | |
22 | Keju Ma, Joachim von zur Gathen: Analysis of Euclidean Algorithms for Polynomials over Finite Fields. J. Symb. Comput. 9(4): 429-455 (1990) | |
1989 | ||
21 | Joachim von zur Gathen: Testing Permutation Polynomials (Extended Abstract) FOCS 1989: 88-92 | |
1987 | ||
20 | Joachim von zur Gathen, Dexter Kozen, Susan Landau: Functional Decomposition of Polynomials FOCS 1987: 127-131 | |
19 | Joachim von zur Gathen: Feasible Arithmetic Computations: Valiant's Hypothesis. J. Symb. Comput. 4(2): 137-172 (1987) | |
18 | Joachim von zur Gathen: Computing Powers in Parallel. SIAM J. Comput. 16(5): 930-945 (1987) | |
17 | Joachim von zur Gathen: Factoring Polynomials and Primitive Elements for Special Primes. Theor. Comput. Sci. 52: 77-89 (1987) | |
1986 | ||
16 | Joachim von zur Gathen: Permanent and Determinant FOCS 1986: 398-401 | |
15 | Joachim von zur Gathen: Irreducible Polynomials over Finite Fields. FSTTCS 1986: 252-262 | |
14 | Joachim von zur Gathen: Parallel Arithmetic Computations: A Survey. MFCS 1986: 93-112 | |
13 | Joachim von zur Gathen: Representations and Parallel Computations for Rational Functions. SIAM J. Comput. 15(2): 432-452 (1986) | |
1985 | ||
12 | Joachim von zur Gathen: Irreducibility of Multivariate Polynomials. J. Comput. Syst. Sci. 31(2): 225-264 (1985) | |
11 | Joachim von zur Gathen, Erich Kaltofen: Factoring Sparse Multivariate Polynomials. J. Comput. Syst. Sci. 31(2): 265-287 (1985) | |
1984 | ||
10 | Joachim von zur Gathen: Parallel Powering FOCS 1984: 31-36 | |
9 | Joachim von zur Gathen: Parallel Algorithms for Algebraic Problems. SIAM J. Comput. 13(4): 802-824 (1984) | |
1983 | ||
8 | Joachim von zur Gathen: Representations of Rational Functions FOCS 1983: 133-137 | |
7 | Joachim von zur Gathen: Factoring Sparse Multivariate Polynomials FOCS 1983: 172-179 | |
6 | Joachim von zur Gathen, Erich Kaltofen: Polynomial-Time Factorization of Multivariate Polynomials over Finite Fields. ICALP 1983: 250-263 | |
5 | Joachim von zur Gathen: Parallel algorithms for algebraic problems STOC 1983: 17-23 | |
1982 | ||
4 | Allan Borodin, Joachim von zur Gathen, John E. Hopcroft: Fast Parallel Matrix and GCD Computations FOCS 1982: 65-71 | |
3 | Allan Borodin, Joachim von zur Gathen, John E. Hopcroft: Fast Parallel Matrix and GCD Computations Information and Control 52(3): 241-256 (1982) | |
1980 | ||
2 | Joachim von zur Gathen, Volker Strassen: Some Polynomials that are Hard to Compute. Theor. Comput. Sci. 11: 331-335 (1980) | |
1976 | ||
1 | Joachim von zur Gathen, Malte Sieveking: Weitere zum Erfüllungsproblem polynomial äquivalente kombinatorische Aufgaben. Komplexität von Entscheidungsproblemen 1976 1976: 49-71 |