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@techreport{Bach&Shallit:1984,
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	number = "84-008",
	year = 1984}

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@book{Hartshorne:1977,
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@techreport{Brent:1985,
	key = "Brent 1985",
	author = "R. P. Brent",
	title = "Some integer factorization algorithms using elliptic curves",
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	National University",
	month = "September",
	year = 1985,
	address = "Canberra",
	number = "CMA-R32-85"}

@inproceedings{Adleman&Huang:1987,
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@techreport{Bosma:1985,
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	author = "W. Bosma",
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	number = "85-12",
	year = 1985}

@techreport{Lingen:1987,
	key = "Lingen 1987",
	author = "Lingen, J. van der",
	title = "Elliptic curves and factorization algorithms",
	institution = "Mathematisch Instituut, Universiteit van Amsterdam",
	number = "87-2",
	year = 1987}

@article{Chudnovsky&Chudnovsky:1986b,
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	year = 1986,
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	pages = "243-264"}
	
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@inproceedings{Stephens:1985,
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	volume = 218,
	year = 1985,
	pages = "409-416"}

@inproceedings{Chudnovsky&Chudnovsky:1986a,
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applications to number theory, computer science, and topology",
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Topology",
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@incollection{Waterhouse&Milne:1969,
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@unpublished{Atkin&Morain:1991,
	key = "Atkin and Morain 1991",
	author = "A. O. L. Atkin and F. Morain",
	title = "Finding suitable curves for the elliptic curve method of factorization",
	note = "Manuscript",
	year = 1991}

@article{Atkin&Morain:1993,
	key = "Atkin and Morain 1993",
	author = "A. O. L. Atkin and F. Morain",
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	year = 1993,
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@article{Morain&Olivos:1990,
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	author = "F. Morain and J. Olivos",
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using addition-subtraction chains",
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	year = 1990,
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@unpublished{Menezes&Vanstone&Okamoto:1990,
	key = "Menezes, Vanstone, and Okamoto 1990",
	author = "A. Menezes and S. Vanstone and T. Okamoto",
	title = "Reducing elliptic curve logarithms to logarithms in a finite field",
	note = "Manuscript",
	year = 1990}

@unpublished{Charlap&Coley&Robbins:1991,
	key = "Charlap, Coley, and Robbins 1991",
	author = "L. S. Charlap and R. Coley and D. P. Robbins",
	title = "Enumeration of rational points on elliptic curves over finite fields",
	note = "Manuscript",
	year = 1991}

@techreport{Charlap&Robbins:1988,
	key = "Charlap and Robbins 1988",
	author = "L. S. Charlap and D. P. Robbins",
	title = "An elementary introduction to elliptic curves",
	institution = "Institute for Defense Analyses, Communications Research Division",
	number = 31,
	month = "December",
	year = 1988}

@techreport{Charlap&Coley:1990,
	key = "Charlap and Coley 1990",
	author = "L. S. Charlap and R. Coley",
	title = "An elementary introduction to elliptic curves {II}",
	institution = "Institute for Defense Analyses, Communications Research Division",
	number = 34,
	month = "July",
	year = 1990}

@incollection{Morain:1991a,
	key = "Morain 1991a",
	author = "F. Morain",
	title = "Distributed primality proving and the primality of $(2^{3539}+1)/3$",
	year = "{\noopsort{1991a}}1991",
	booktitle = EUROCRYPT90,
	editor = "I. B. {Damg\aa rd}",
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@article{Cantor:1987,
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@article{Wolfmann:1987,
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	year = 1987,
	pages = "345-348"}

@unpublished{Atkin:1988,
	key = "Atkin 1988",
	author = "A. O. L. Atkin",
	title = "The number of points on an elliptic curve modulo a prime",
	note = "Manuscript",
	year = 1988}

@incollection{Buchmann&Muller:1991,
	key = "Buchmann and {M\"uller} 1991",
	author = "J. Buchmann and V. {M\"uller}",
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	booktitle = ISSAC91,
	editor = "S. M. Watt",
	publisher = "ACM Press",
	year = 1991,
	pages = "179-182"}

@unpublished{Menezes&Vanstone&Zuccherato:1991,
	key = "Menezes and Vanstone and Zuccherato 1991",
	author = "A. J. Menezes and S. A. Vanstone and R. J. Zuccherato",
	title = "Counting points on elliptic curves over {$\Ffield{2^m}$}",
	year = 1991,
	note = "Manuscript"}

@incollection{Beth&Schaefer:1991a,
	key = "Beth and Schaefer 1991a",
	author = "T. Beth and F. Schaefer",
	title = "Arithmetic on non supersingular elliptic curves",
	booktitle = AAECC9,
	editor = "H. F. Mattson and T. Mora and T. R. N. Rao",
	publisher = SV,
	series = LNICS,
	volume = 539,
	year = "{\noopsort{1991a}}1991",
	pages = "74-81"}

@incollection{Menezes&Vanstone:1990b,
	key = "Menezes and Vanstone 1990b",
	author = "A. Menezes and S. Vanstone",
	title = "The implementation of elliptic curve cryptosystems",
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	editor = "J. Seberry and J. Pieprzyk",
	publisher = SV,
	series = LNICS,
	volume = 453,
	year = "{\noopsort{1990b}}1990",
	pages = "2-13"}

@article{Carlitz&Uchiyama:1957,
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	author = "L. Carlitz and S. Uchiyama",
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	year = 1957,
	pages = "37-41"}

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	volume = 34,
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	pages = "204-207"}

@article{Neiderreiter:1991,
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	title = "The distribution of values of {K}loosterman sums",
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	year = 1991,
	pages = "270-277"}

@incollection{Serre:1963,
	key = "Serre 1963",
	author = "J.-P. Serre",
	title = "Zeta and {$L$} functions",
	booktitle = "Arithmetical Algebraic Geometry",
	year = 1963,
	editor = "O. F. G. Schilling",
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	address = NY,
	pages = "213-220"}

@book{Adleman&Huang:1992,
	key = "Adleman and Huang 1992",
	author = "L. M. Adleman and M.-D. A. Huang",
	title = "Primality Testing and Abelian Varieties over Finite Fields",
	publisher = SV,
	series = LNIM,
	volume = 1512,
	year = 1992}

@techreport{Peralta:1990,
	key = "Peralta 1990",
	author = "R. Peralta",
	title = "On the randomness complexity of algorithms",
	institution = "University of Wisconsin--Milwaukee, Department 
of Electrical Engineering and Computer Science",
	number = "90-1",
	year = 1990}

@incollection{Morain:1991b,
	key = "Morain 1991b",
	author = "F. Morain",
	title = "Building cyclic elliptic curves modulo large primes",
	booktitle = EUROCRYPT91,
	series = LNICS,
	volume = 547,
	editor = "D. W. Davies",
	publisher = SV,
	year = "{\noopsort{1991b}}1991",
	pages = "328-336"}

@article{Morain:1991c,
	key = "Morain 1991c",
	author = "F. Morain",
	title = "Elliptic curves, primality proving and some titanic primes",
	journal = ASTER,
	volume = "198-200",
	year = 1991,
	pages = "245-251"}

@incollection{Beth&Schaefer:1991b,
	key = "Beth and Schaefer 1991b",
	author = "T. Beth and F. Schaefer",
	title = "Non supersingular elliptic curves for public key cryptosystems",
	booktitle = EUROCRYPT91,
	series = LNICS,
	volume = 547,
	editor = "D. W. Davies",
	publisher = SV,
	year = "{\noopsort{1991b}}1991",
	pages = "316-327"}

@incollection{Bender&Castagnoli:1990,
	key = "Bender and Castagnoli 1990",
	author = "A. Bender and G. Castagnoli",
	title = "On the implementation of elliptic curve cryptosystems",
	booktitle = CRYPTO89,
	editor = "G. Brassard",
	publisher = SV,
	year = 1990,
	series = LNICS,
	volume = 435,
	pages = "186-192"}


@incollection{Koblitz:1991,
	key = "Koblitz 1991",
	author = "N. Koblitz",
	title = "Constructing elliptic curve cryptosystems in characteristic 2",
	booktitle = CRYPTO90,
	editor = "A. J. Menezes and S. A. Vanstone",
	publisher = SV,
	year = 1991,
	series = LNICS,
	volume = 537,
	pages = "156-167"}

@incollection{Koblitz:1992,
	key = "Koblitz 1992",
	author = "N. Koblitz",
	title = "{CM-Curves} with good cryptographic properties",
	booktitle = CRYPTO91,
	editor = "J. Feigenbaum",
	publisher = SV,
	year = 1991,
	series = LNICS,
	volume = 576,
	pages = "279-287"}

@incollection{Morain:1992b,
	key = "Morain 1992b",
	author = "F. Morain",
	title = "Easy numbers for the elliptic curve primality proving algorithm",
	booktitle = ISSAC92,
	editor = "P. S. Wang",
	year = 1992,
	pages = "263-268",
	publisher = ACM}

@article{Shokrollahi:1992a,
	key = "Shokrollahi 1992a",
	author = "M. A. Shokrollahi",
	title = "Efficient randomized generation of optimal algorithms for multiplication
in certain finite fields",
	journal = CC,
	volume = 2,
	year = "{\noopsort{1992a}}1992",
	pages = "67-96"}

@article{Karpinski&Luby:1993,
	key = "Karpinski and Luby 1993",
	author = "M. Karpinski and M. Luby",
	title = "Approximating the number of zeroes of a {$GF[2]$} polynomial",
	journal = JA,
	volume = 14,
	year = 1993,
	pages = "280-287"}

@inproceedings{vonzurGathen&Karpinski&Shparlinski:1993,
	key = "von zur Gathen, Karpinski, and Shparlinski:1993",
	author = "Gathen, J. von zur and M. Karpinski and I. Shparlinski",
	title = "Counting curves and their projections",
	booktitle = STOC93,
	year = 1993,
	pages = "805-812"}

@inproceedings{Huang&Ierardi:1993,
	key = "Huang and Ierardi 1993",
	author = "M.-D. Huang and D. Ierardi",
	title = "Counting rational points on curves over finite fields",
	booktitle = STOC93,
	year = 1993,
	pages = "616-625"}

@article{Silverman&Wagstaff:1993,
	key = "Silverman and Wagstaff 1993",
	author = "R. D. Silverman and Wagstaff, Jr., S. S.",
	title = "A practical analysis of the the elliptic curve factoring algorithm",
	journal = MC,
	volume = 61,
	year = 1993,
	pages = "445-462"}

@article{Peralta&Shoup:1993,
	key = "Peralta and Shoup 1993",
	author = "R. Peralta and V. Shoup",
	title = "Primality testing with fewer random bits",
	journal = CC,
	volume = 3,
	year = 1993,
	pages = "355-367"}

@article{LenstraHW&Pila&Pomerance:1993,
	key = "H. W. Lenstra, Pila, and Pomerance 1993",
	author = "Lenstra, Jr., H. W. and J. Pila and C. Pomerance",
	title = "A hyperelliptic smoothness test. {I}",
	journal = PTRSA,
	volume = 345,
	year = 1993,
	pages = "397-408"}

@article{Shokrollahi:1992b,
	key = "Shokrollahi 1992b",
	author = "M. A. Shokrollahi",
	title = "Optimal algorithms for multiplication
in certain finite fields using elliptic curves",
	journal = SIAMJC,
	volume = 21,
	year = "{\noopsort{1992b}}1992",
	pages = "1193-1198"}

@inproceedings{Bach&Shallit:1985,
	key = "Bach and Shallit 1985",
	author = "E. Bach and J. O. Shallit",
	title = "Factoring with cyclotomic polynomials",
	booktitle = FOCS85,
	year = 1985,
	pages = "443-450"}

@article{Shokrollahi:1991,
	key = "Shokrollahi 1991",
	author = "M. A. Shokrollahi",
	title = "On the rank of certain finite fields",
	journal = CC,
	volume = 1,
	year = 1991,
	pages = "157-181"}

@article{Baum&Shokrollahi:1991,
	key = "Baum and Shokrollahi 1991",
	author = "U. Baum and M. A. Shokrollahi",
	title = "An optimal algorithm for multiplication in 
		 {${\rm F}_{256}/{\rm F}_4$}",
	journal = AAECC,
	volume = 2,
	year = 1991,
	pages = "15-20"}

@article{Lehmann&Maurer&Mueller&Shoup:1994,
	key = "Lehmann, Maurer, {M\"uller}, and Shoup 1994",
	author = "F. Lehmann and M. Maurer and V. {M\"uller} and V. Shoup",
	title = "Counting the number of points on elliptic curves
over finite fields of characteristic greater than three",
	booktitle = ANTS1,
	editor = "L. M. Adleman and M.-D. Huang",
	series = LNICS,
	volume = 877,
	publisher = SV,
	year = 1994,
	pages = "60-70"}

