The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
본 논문에서는 매핑으로 정의된 임의의 두 시퀀스의 상관 값을 계산하는 새로운 방법을 얻습니다. F4n 에 F4. 우리는 이 방법을 적용하여 일반적인 비이진 최대 길이 시퀀스가 표준 복소 상관 정의 하에서 거의 이상적인 상관 관계를 가짐을 입증하고 좋은 교차 상관을 제공하는 일부 데시메이션을 조사합니다. 우리가 개발하는 기술은 부울 함수를 포함한 시퀀스 설계 및 관련 문제에 대한 향후 조사에 독립적인 관심을 갖고 있습니다.
Serdar BOZTAŞ
University Research Foundation,RMIT University
Ferruh ÖZBUDAK
Sabancı University
Eda TEKİN
Karabük University
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Serdar BOZTAŞ, Ferruh ÖZBUDAK, Eda TEKİN, "A New Method to Compute Sequence Correlations Over Finite Fields" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 12, pp. 1461-1469, December 2023, doi: 10.1587/transfun.2023SDP0009.
Abstract: In this paper we obtain a new method to compute the correlation values of two arbitrary sequences defined by a mapping from F4n to F4. We apply this method to demonstrate that the usual nonbinary maximal length sequences have almost ideal correlation under the canonical complex correlation definition and investigate some decimations giving good cross correlation. The techniques we develop are of independent interest for future investigation of sequence design and related problems, including Boolean functions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2023SDP0009/_p
부
@ARTICLE{e106-a_12_1461,
author={Serdar BOZTAŞ, Ferruh ÖZBUDAK, Eda TEKİN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A New Method to Compute Sequence Correlations Over Finite Fields},
year={2023},
volume={E106-A},
number={12},
pages={1461-1469},
abstract={In this paper we obtain a new method to compute the correlation values of two arbitrary sequences defined by a mapping from F4n to F4. We apply this method to demonstrate that the usual nonbinary maximal length sequences have almost ideal correlation under the canonical complex correlation definition and investigate some decimations giving good cross correlation. The techniques we develop are of independent interest for future investigation of sequence design and related problems, including Boolean functions.},
keywords={},
doi={10.1587/transfun.2023SDP0009},
ISSN={1745-1337},
month={December},}
부
TY - JOUR
TI - A New Method to Compute Sequence Correlations Over Finite Fields
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1461
EP - 1469
AU - Serdar BOZTAŞ
AU - Ferruh ÖZBUDAK
AU - Eda TEKİN
PY - 2023
DO - 10.1587/transfun.2023SDP0009
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 12
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - December 2023
AB - In this paper we obtain a new method to compute the correlation values of two arbitrary sequences defined by a mapping from F4n to F4. We apply this method to demonstrate that the usual nonbinary maximal length sequences have almost ideal correlation under the canonical complex correlation definition and investigate some decimations giving good cross correlation. The techniques we develop are of independent interest for future investigation of sequence design and related problems, including Boolean functions.
ER -