Trace representation of binary e-th residue sequences of period p

Zongduo Dai; Guang Gong; Hong Yeop Song

Trace representation of binary e-th residue sequences of period p

Zongduo Dai, Guang Gong, Hong Yeop Song

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

Abstract

Binary e-th residue sequences of period p and their defining pairs are defined, and the problem of determining their trace representations is reduced to that of determining their defining pairs. In addition, the latter is further reduced to that of evaluating the values of some e-tuples which are associated with e-th residue classes, and some properties of those e-tuples are discussed. As such, trace representations and linear complexities of the binary characteristic sequences of all the e-th residue cyclic difference sets modulo p with e≤12 and some other e-th residue sequences are determined.

Original language	English
Pages (from-to)	378
Number of pages	1
Journal	IEEE International Symposium on Information Theory - Proceedings
Publication status	Published - 2003
Event	Proceedings 2003 IEEE International Symposium on Information Theory (ISIT) - Yokohama, Japan Duration: 2003 Jun 29 → 2003 Jul 4

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Information Systems
Modelling and Simulation
Applied Mathematics

Cite this

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title = "Trace representation of binary e-th residue sequences of period p",

abstract = "Binary e-th residue sequences of period p and their defining pairs are defined, and the problem of determining their trace representations is reduced to that of determining their defining pairs. In addition, the latter is further reduced to that of evaluating the values of some e-tuples which are associated with e-th residue classes, and some properties of those e-tuples are discussed. As such, trace representations and linear complexities of the binary characteristic sequences of all the e-th residue cyclic difference sets modulo p with e≤12 and some other e-th residue sequences are determined.",

author = "Zongduo Dai and Guang Gong and Song, {Hong Yeop}",

year = "2003",

language = "English",

pages = "378",

journal = "IEEE International Symposium on Information Theory - Proceedings",

issn = "2157-8095",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings 2003 IEEE International Symposium on Information Theory (ISIT) ; Conference date: 29-06-2003 Through 04-07-2003",

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TY - JOUR

T1 - Trace representation of binary e-th residue sequences of period p

AU - Dai, Zongduo

AU - Gong, Guang

AU - Song, Hong Yeop

PY - 2003

Y1 - 2003

N2 - Binary e-th residue sequences of period p and their defining pairs are defined, and the problem of determining their trace representations is reduced to that of determining their defining pairs. In addition, the latter is further reduced to that of evaluating the values of some e-tuples which are associated with e-th residue classes, and some properties of those e-tuples are discussed. As such, trace representations and linear complexities of the binary characteristic sequences of all the e-th residue cyclic difference sets modulo p with e≤12 and some other e-th residue sequences are determined.

AB - Binary e-th residue sequences of period p and their defining pairs are defined, and the problem of determining their trace representations is reduced to that of determining their defining pairs. In addition, the latter is further reduced to that of evaluating the values of some e-tuples which are associated with e-th residue classes, and some properties of those e-tuples are discussed. As such, trace representations and linear complexities of the binary characteristic sequences of all the e-th residue cyclic difference sets modulo p with e≤12 and some other e-th residue sequences are determined.

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M3 - Conference article

AN - SCOPUS:0141938831

SN - 2157-8095

SP - 378

JO - IEEE International Symposium on Information Theory - Proceedings

JF - IEEE International Symposium on Information Theory - Proceedings

T2 - Proceedings 2003 IEEE International Symposium on Information Theory (ISIT)

Y2 - 29 June 2003 through 4 July 2003

ER -

Trace representation of binary e-th residue sequences of period p

Abstract

All Science Journal Classification (ASJC) codes

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