Abstract
Some novel results of the p-adic components of primitive sequences over ring Z mod p d(Z/(p d )) are given. An improving result of Dai Zongdao formula is presented. Moreover, we characterize the minimal polynomials and trace expressions for 0, 1 level components of primitive sequences over Z/(p d ) for any prime number p.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Lidl, R., Niedereiter, H.: Finite Fields, Encyclopedia of Mathematics and Its Applications. vol. 20 (1983)
Zhexian, W.: Algebra and Coding Theory. Science Press, Beijing (1980) (in Chinese)
Zhao, K., Qi, S.: Lecture on the Number Theory. Higher Education Press, Beijing (1988) (in Chinese)
Minqiang, H.: Maximal Period Polynomials over. Science in China(series A) 35(3), 270–275 (1992) (in Chinese)
Minqiang, H.: Structures of Binary Component of Primitive Sequences over mod. Postdoctoral Thesis of China (3), 18–23 (1990)
Xiangang, L.: The Linear Recurring Sequences on Information Theory, San Diego, California (January 1990)
Wenfeng, Q., Zongduo, D.: The Trace Representation of Sequences and the Space of Nonlinear Filtered Sequences over. Acta. Mathematicae Applicatae Sinica 20(1), 128 (1997) (in Chinese)
Wenfeng, Q., Xuanyong, Z.: Injectivness of compression Mappings on Primitive Sequence over Galois Rings. Acta Mathematica Sinica 44(3), 445–452 (2001) (in Chinese)
Xuanyong, Z., Wenfeng, Q.: Uniqueness of the Distribution of Zeroes of Primitive. Level Sequences over (in Chinese). Acta. Mathematicae Applicatae Sinica 27(4), 731–743 (2004)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tang, Y., Long, D. (2007). Some Novel Results of p-Adic Component of Primitive Sequences over Z/(p d ) . In: Carlet, C., Sunar, B. (eds) Arithmetic of Finite Fields. WAIFI 2007. Lecture Notes in Computer Science, vol 4547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73074-3_27
Download citation
DOI: https://doi.org/10.1007/978-3-540-73074-3_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73073-6
Online ISBN: 978-3-540-73074-3
eBook Packages: Computer ScienceComputer Science (R0)