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Compressing Mappings on Primitive Sequences over Z/(2e) and Its Galois Extension

✍ Scribed by Qi Wenfeng; Zhu Xuanyong


Book ID
102573757
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
190 KB
Volume
8
Category
Article
ISSN
1071-5797

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✦ Synopsis


Let f ðxÞ be a strongly primitive polynomial of degree n over Z=ð2 e Þ, Zðx 0 ; x 1 ; . . . ; x eÀ2 Þ a Boolean function of e À 1 variables and

Gðf ðxÞ; Z=ð2 e ÞÞ denotes the set of all sequences over Z=ð2 e Þ generated by f ðxÞ, F 1 2 the set of all sequences over the binary field F 2 , then the compressing mapping F :

Gðf ðxÞ; Z=ð2 e ÞÞ ! F 1 2 ; % b eÀ1 Þ mod 2. In the second part of the paper, we generalize the above result over the Galois rings.


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