@inproceedings{1d05e329b7df48e0a1d3d64150c0a9ef,

title = "Counting the number of points on elliptic curves over finite fields of characteristic greater than three",

abstract = "We present a variant of an algorithm of Oliver Atkin for counting the number of points on an elliptic curve over a finite field. We describe an implementation of this algorithm for prime fields. We report on the use of this implementation to count the number of points on a curve over Fp, where p is a 375-digit prime.",

author = "Frank Lehmann and Markus Maurer and Volker M{\"u}ller and Victor Shoup",

year = "1994",

doi = "10.1007/3-540-58691-1_44",

language = "English (US)",

isbn = "9783540586913",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "60--70",

editor = "Adleman, {Leonard M.} and Ming-Deh Huang",

booktitle = "Algorithmic Number Theory - 1st International Symposium, ANTS-I, Proceedings",

note = "1st Algorithmic Number Thoery Symposium, ANTS-I 1994 ; Conference date: 06-05-1994 Through 09-05-1994",

}