Linear complexity of two classes of optimal sets frequency-hopping sequences
By using a type of permutation polynomials which were different from power permutations,the two classes of frequency-hopping sequence sets with low linear complexity was transformed into the ones with high linear complexity.The exact values of linear complexity of these sequences were given by apply...
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Editorial Department of Journal on Communications
2012-02-01
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Series: | Tongxin xuebao |
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Online Access: | http://www.joconline.com.cn/zh/article/doi/1000-436X(2012)02-0175-07/ |
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author | Jun-tao GAO Yu-pu HU Xue-lian LI Shang-rong XIANG |
author_facet | Jun-tao GAO Yu-pu HU Xue-lian LI Shang-rong XIANG |
author_sort | Jun-tao GAO |
collection | DOAJ |
description | By using a type of permutation polynomials which were different from power permutations,the two classes of frequency-hopping sequence sets with low linear complexity was transformed into the ones with high linear complexity.The exact values of linear complexity of these sequences were given by applying the theoretical proof.The results show that the two new classes of frequency-hopping sequences sets not only have optimal Hamming correlation,but also have larger linear span and can resist the Berlekamp-Massey attack compared with the two primary classes of frequency-hopping sequence sets. |
format | Article |
id | doaj-art-5eef9b3a89d245d48330b84bfda705d9 |
institution | Kabale University |
issn | 1000-436X |
language | zho |
publishDate | 2012-02-01 |
publisher | Editorial Department of Journal on Communications |
record_format | Article |
series | Tongxin xuebao |
spelling | doaj-art-5eef9b3a89d245d48330b84bfda705d92025-01-14T06:31:18ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2012-02-013317518159660432Linear complexity of two classes of optimal sets frequency-hopping sequencesJun-tao GAOYu-pu HUXue-lian LIShang-rong XIANGBy using a type of permutation polynomials which were different from power permutations,the two classes of frequency-hopping sequence sets with low linear complexity was transformed into the ones with high linear complexity.The exact values of linear complexity of these sequences were given by applying the theoretical proof.The results show that the two new classes of frequency-hopping sequences sets not only have optimal Hamming correlation,but also have larger linear span and can resist the Berlekamp-Massey attack compared with the two primary classes of frequency-hopping sequence sets.http://www.joconline.com.cn/zh/article/doi/1000-436X(2012)02-0175-07/frequency-hopping sequencelinear complexitypermutation polynomialHamming correlation |
spellingShingle | Jun-tao GAO Yu-pu HU Xue-lian LI Shang-rong XIANG Linear complexity of two classes of optimal sets frequency-hopping sequences Tongxin xuebao frequency-hopping sequence linear complexity permutation polynomial Hamming correlation |
title | Linear complexity of two classes of optimal sets frequency-hopping sequences |
title_full | Linear complexity of two classes of optimal sets frequency-hopping sequences |
title_fullStr | Linear complexity of two classes of optimal sets frequency-hopping sequences |
title_full_unstemmed | Linear complexity of two classes of optimal sets frequency-hopping sequences |
title_short | Linear complexity of two classes of optimal sets frequency-hopping sequences |
title_sort | linear complexity of two classes of optimal sets frequency hopping sequences |
topic | frequency-hopping sequence linear complexity permutation polynomial Hamming correlation |
url | http://www.joconline.com.cn/zh/article/doi/1000-436X(2012)02-0175-07/ |
work_keys_str_mv | AT juntaogao linearcomplexityoftwoclassesofoptimalsetsfrequencyhoppingsequences AT yupuhu linearcomplexityoftwoclassesofoptimalsetsfrequencyhoppingsequences AT xuelianli linearcomplexityoftwoclassesofoptimalsetsfrequencyhoppingsequences AT shangrongxiang linearcomplexityoftwoclassesofoptimalsetsfrequencyhoppingsequences |