New <I>p</I>-ary Sequence Families of Period ${rac{p^n -1}{2}}$ with Good Correlation Property Using Two Decimated m-Sequences

Chang-Min CHO; Ji-Youp KIM; Jong-Seon NO

doi:10.1587/transcom.E98.B.1268

New p-ary Sequence Families of Period ${rac{p^n -1}{2}}$ with Good Correlation Property Using Two Decimated m-Sequences

Chang-Min CHO, Ji-Youp KIM, Jong-Seon NO

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In this paper, for an odd prime p and i=0,1, we investigate the cross-correlation between two decimated sequences, s(2t+i) and s(dt), where s(t) is a p-ary m-sequence of period pⁿ-1. Here we consider two cases of ${d}$, ${d=rac{(p^m +1)^2}{2} }$ with ${n=2m}$, ${p^m equiv 1 pmod{4}}$ and ${d=rac{(p^m +1)^2}{p^e + 1}}$ with n=2m and odd m/e. The value distribution of the cross-correlation function for each case is completely determined. Also, by using these decimated sequences, two new p-ary sequence families of period ${rac{p^n -1}{2}}$ with good correlation property are constructed.

Publication: IEICE TRANSACTIONS on Communications Vol.E98-B No.7 pp.1268-1275

Publication Date: 2015/07/01

Publicized

Online ISSN: 1745-1345

DOI: 10.1587/transcom.E98.B.1268

Type of Manuscript: PAPER

Category: Fundamental Theories for Communications

Authors

Chang-Min CHO
  Seoul National University
Ji-Youp KIM
  Seoul National University
Jong-Seon NO
  Seoul National University

Keyword

cross-correlation distribution, decimated sequences, p-ary sequences, sequence families

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Chang-Min CHO, Ji-Youp KIM, Jong-Seon NO, "New p-ary Sequence Families of Period ${rac{p^n -1}{2}}$ with Good Correlation Property Using Two Decimated m-Sequences" in IEICE TRANSACTIONS on Communications, vol. E98-B, no. 7, pp. 1268-1275, July 2015, doi: 10.1587/transcom.E98.B.1268.
Abstract: In this paper, for an odd prime p and i=0,1, we investigate the cross-correlation between two decimated sequences, s(2t+i) and s(dt), where s(t) is a p-ary m-sequence of period pⁿ-1. Here we consider two cases of ${d}$, ${d=rac{(p^m +1)^2}{2} }$ with ${n=2m}$, ${p^m equiv 1 pmod{4}}$ and ${d=rac{(p^m +1)^2}{p^e + 1}}$ with n=2m and odd m/e. The value distribution of the cross-correlation function for each case is completely determined. Also, by using these decimated sequences, two new p-ary sequence families of period ${rac{p^n -1}{2}}$ with good correlation property are constructed.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/transcom.E98.B.1268/_p

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@ARTICLE{e98-b_7_1268,
author={Chang-Min CHO, Ji-Youp KIM, Jong-Seon NO, },
journal={IEICE TRANSACTIONS on Communications},
title={New p-ary Sequence Families of Period ${rac{p^n -1}{2}}$ with Good Correlation Property Using Two Decimated m-Sequences},
year={2015},
volume={E98-B},
number={7},
pages={1268-1275},
abstract={In this paper, for an odd prime p and i=0,1, we investigate the cross-correlation between two decimated sequences, s(2t+i) and s(dt), where s(t) is a p-ary m-sequence of period pⁿ-1. Here we consider two cases of ${d}$, ${d=rac{(p^m +1)^2}{2} }$ with ${n=2m}$, ${p^m equiv 1 pmod{4}}$ and ${d=rac{(p^m +1)^2}{p^e + 1}}$ with n=2m and odd m/e. The value distribution of the cross-correlation function for each case is completely determined. Also, by using these decimated sequences, two new p-ary sequence families of period ${rac{p^n -1}{2}}$ with good correlation property are constructed.},
keywords={},
doi={10.1587/transcom.E98.B.1268},
ISSN={1745-1345},
month={July},}

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TY - JOUR
TI - New p-ary Sequence Families of Period ${rac{p^n -1}{2}}$ with Good Correlation Property Using Two Decimated m-Sequences
T2 - IEICE TRANSACTIONS on Communications
SP - 1268
EP - 1275
AU - Chang-Min CHO
AU - Ji-Youp KIM
AU - Jong-Seon NO
PY - 2015
DO - 10.1587/transcom.E98.B.1268
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E98-B
IS - 7
JA - IEICE TRANSACTIONS on Communications
Y1 - July 2015
AB - In this paper, for an odd prime p and i=0,1, we investigate the cross-correlation between two decimated sequences, s(2t+i) and s(dt), where s(t) is a p-ary m-sequence of period pⁿ-1. Here we consider two cases of ${d}$, ${d=rac{(p^m +1)^2}{2} }$ with ${n=2m}$, ${p^m equiv 1 pmod{4}}$ and ${d=rac{(p^m +1)^2}{p^e + 1}}$ with n=2m and odd m/e. The value distribution of the cross-correlation function for each case is completely determined. Also, by using these decimated sequences, two new p-ary sequence families of period ${rac{p^n -1}{2}}$ with good correlation property are constructed.
ER -