d-form sequences: families of sequences with low correlation values and large linear spans

Klapper, Andrew

doi:10.1109/18.370143

Cited by 76 publications

(35 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The subfamily F \ {{s 0 (t)} 0≤t<2 n −1 } consists of the sequences with maximum linear span in the proposed family F. The size of F is completely determined by the method proposed by Klapper [13]. This method in [13] is used to determine the subfamilies with maximum linear span respectively in No sequences and TN sequences. The subfamily sizes are listed as in Table 2.…”

Section: Linear Span Of Sequencesmentioning

confidence: 99%

On The Linear Span of A Binary Sequence Family with Optimal Correlation Properties

Lu¹

2009

View full text Add to dashboard Cite

The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Sequences are critical in spread spectrum communications for anti-jamming and security. The complexity to break sequence is measured using linear span of sequence. The linear span of a sequence is the lowest degree of the characteristic polynomials that can generate the sequence. A new family of sequences with optimal correlation properties is constructed for the generalized Kasami set. A lower bound on the linear span is established. It is proved that with suitable choices of parameters, this family has exponentially larger linear spans than either No Abstract Sequences are critical for anti-jamming and security in spread spectrum communications networks. The complexity to break sequence is measured by linear span of sequence. The linear span of a sequence is the lowest degree of the characteristic polynomials that can generate the sequence. A new family of sequences with optimal correlation properties is constructed for the generalized Kasami set. A lower bound on the linear span is established. It is proved that with suitable choices of parameters, the linear span of this family is exponentially larger than that of either No sequences or TN sequences. A class of sequences with ideal autocorrelation is also proved to have large linear span. Therefore, the new family of sequences can be employed by future spread spectrum networks to have better security and lower bit error rate in the presence of jamming.

show abstract

Section: Linear Span Of Sequencesmentioning

confidence: 99%

On The Linear Span of A Binary Sequence Family with Optimal Correlation Properties

Lu¹

2009

View full text Add to dashboard Cite

show abstract

“…In [2], it is shown that the autocorrelation of a subfield reducible sequence Goresky [7] and k-form sequences [6] in which h(x) is a trace function T r…”

Section: With Trace Representation U(x) If There Is M > 1 a Proper mentioning

confidence: 99%

A Note on Low-Correlation Zone Signal Sets

Gong

Golomb

Song

2007

IEEE Trans. Inform. Theory

View full text Add to dashboard Cite

Abstract. In this note, we present a connection between designing low correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors [2]. This results in low correlation zone signal sets with huge sizes over three different alphabetic sets: finite field of size q, integer residue ring modulo q, and the subset in the complex field which consists of powers of a primitive q-th root of unity. We also provide two open problems along this direction.

show abstract

“…Families of sequences with optimal correlation such as Kasami sequences [2], bent function sequences [3] and Gold sequences [4] have been found. Later on, other binary sequences families with low correlation are proposed, and some of them have large family size [5][6][7][8][9] or large linear span [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

“…The later are specially used to design d-form sequences. Applying lifting idea to sets of d-form sequence, new families of sequences are found [10][11][12]. Some of them have large linear span [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A New Large Family of Binary Sequences with Large Linear Span and Low Correlation

Chen¹,

Chen²

2013

Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information

View full text Add to dashboard Cite

d-form sequences: families of sequences with low correlation values and large linear spans

Cited by 76 publications

References 15 publications

On The Linear Span of A Binary Sequence Family with Optimal Correlation Properties

On The Linear Span of A Binary Sequence Family with Optimal Correlation Properties

A Note on Low-Correlation Zone Signal Sets

A New Large Family of Binary Sequences with Large Linear Span and Low Correlation

Contact Info

Product

Resources

About