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Further Results on the Distinctness of Binary Sequences Derived From Primitive Sequences Modulo Square-Free Odd Integers.
- Source :
-
IEEE Transactions on Information Theory . Jun2013, Vol. 59 Issue 6, p4013-4019. 7p. - Publication Year :
- 2013
-
Abstract
- This paper studies the distinctness of primitive sequences over \bf Z/(M) modulo 2, where M is an odd integer that is composite and square-free, and \bf Z/(M) is the integer residue ring modulo M. A new sufficient condition is given for ensuring that primitive sequences generated by a primitive polynomial f\left(x\right) over \bf Z/(M) are pairwise distinct modulo 2. Such result improves a recent result obtained in our previous paper, and consequently, the set of primitive sequences over \bf Z/(M) that can be proven to be distinct modulo 2 is greatly enlarged. [ABSTRACT FROM PUBLISHER]
- Subjects :
- *SYMBOLISM
*INTEGERS
*PAPER arts
*MATHEMATICAL sequences
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 00189448
- Volume :
- 59
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Information Theory
- Publication Type :
- Academic Journal
- Accession number :
- 87617956
- Full Text :
- https://doi.org/10.1109/TIT.2013.2243817