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» Exceptional units in a family of quartic number fields
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MOC
1998
65views more  MOC 1998»
13 years 4 months ago
Exceptional units in a family of quartic number fields
Abstract. We determine all exceptional units among the elements of certain groups of units in quartic number fields. These groups arise from a oneparameter family of polynomials w...
Gerhard Niklasch, Nigel P. Smart
MOC
2000
104views more  MOC 2000»
13 years 5 months ago
On the solutions of a family of quartic Thue equations
In this paper, we solve a certain family of diophantine equations associated with a family of cyclic quartic number fields. In fact, we prove that
Alain Togbé
SODA
2010
ACM
200views Algorithms» more  SODA 2010»
14 years 2 months ago
Algorithms for ray class groups and Hilbert class fields
This paper analyzes the complexity of problems from class field theory. Class field theory can be used to show the existence of infinite families of number fields with constant ro...
Sean Hallgren, Kirsten Eisentraeger
ECCC
2010
83views more  ECCC 2010»
13 years 2 months ago
Symmetric LDPC codes are not necessarily locally testable
Locally testable codes, i.e., codes where membership in the code is testable with a constant number of queries, have played a central role in complexity theory. It is well known t...
Eli Ben-Sasson, Ghid Maatouk, Amir Shpilka, Madhu ...
FPGA
2004
ACM
163views FPGA» more  FPGA 2004»
13 years 9 months ago
Time and area efficient pattern matching on FPGAs
Pattern matching for network security and intrusion detection demands exceptionally high performance. Much work has been done in this field, and yet there is still significant roo...
Zachary K. Baker, Viktor K. Prasanna