Scheduled System Maintenance:
On Wednesday, July 29th, IEEE Xplore will undergo scheduled maintenance from 7:00-9:00 AM ET (11:00-13:00 UTC). During this time there may be intermittent impact on performance. We apologize for any inconvenience.
By Topic

Further Result on Distribution Properties of Compressing Sequences Derived From Primitive Sequences Over {\bf Z}/(p^{e})

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Qun-Xiong Zheng ; State Key Lab. of Math. Eng. & Adv. Comput., Zhengzhou Inf. Sci. & Technol. Inst., Zhengzhou, China ; Wen-Feng Qi ; Tian Tian

Let p be an odd prime number, e an integer greater than 1, and Z/(pe) the integer residue ring modulo pe. In this paper, we obtain an improved result of the previous paper (IEEE Trans. Inf. Theory, 56(1) (2010) 555-563) on distribution properties of compressing sequences derived from primitive sequences over Z/(pe). It is shown that two primitive sequences α and b generated by a strongly primitive polynomial f(x) over Z/(pe) are the same, if there exist s∈ Z/(p) and k∈ Z(p)* such that the distribution of in their compressing sequences ae-1+η(a0,⋯.ae-2) and be-1+η(b0,⋯,be-2) is coincident at the positions t with α(t)=k, where η(x0,⋯,xe-2) is an (e-)-variable polynomial over Z/(p) with the coefficient of xe-2p-1⋯x1p-1x0p-1 not equal to (-1)e · (p+1)/2 and α is an m-sequence over Z/(p)determined by f(x) and a. Compared with the previous result, this gives a more precise characterization on the positions of a compressing sequence, i.e., of the form ae-1+η(a0,⋯,ae-2), derived from a primitive sequence a over Z/(pe) that completely determines a. In particular, the result is also true for the highest level sequence ae-1 by taking η(x0,⋯,xe-2)=0.

Published in:

Information Theory, IEEE Transactions on  (Volume:59 ,  Issue: 8 )