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The Pohlig–Hellman Method Generalized for Group Structure Computation

✍ Scribed by Edlyn Teske

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
451 KB
Volume
27
Category
Article
ISSN
0747-7171

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✦ Synopsis

We present a new algorithm that extends the techniques of the Pohlig-Hellman algorithm for discrete logarithm computation to the following situation: given a finite Abelian group and group elements h, g 1 , . . . , g l , compute the least positive integer y and numbers x 1 , . . . , x l such that h y = g i x i . This computational problem is important for computing the structure of a finite Abelian group.

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