Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings
We construct new sequences over finite rings having optimal Hamming correlation properties. These sequences are useful in frequency hopping multiple-access (FHMA) spreadspectrum communication systems. Our constructions can be classified into linear and nonlinear categories, both giving optimal Hammi...
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| Format: | Article |
| Language: | English |
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Institute of Electrical and Electronics Engineers Inc.
1998
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| Online Access: | http://irep.iium.edu.my/14019/1/Optimal_Large_Linear_Complexity_Frequency_Hopping_Patterns_Derived_from_Polynomial_Residue_Class_Rings.pdf |
| _version_ | 1796876123255078912 |
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| author | Udaya, Paramapalli Siddiqi, Mohammad Umar |
| author_facet | Udaya, Paramapalli Siddiqi, Mohammad Umar |
| author_sort | Udaya, Paramapalli |
| collection | IIUM |
| description | We construct new sequences over finite rings having optimal Hamming correlation properties. These sequences are useful in frequency hopping multiple-access (FHMA) spreadspectrum communication systems. Our constructions can be classified into linear and nonlinear categories, both giving optimal Hamming correlations according to Lempel-Greenberger bound. The nonlinear sequences have large linear complexity and can be seen as a generalized version of GMW sequences over fields |
| first_indexed | 2024-03-05T22:48:00Z |
| format | Article |
| id | oai:generic.eprints.org:14019 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:48:00Z |
| publishDate | 1998 |
| publisher | Institute of Electrical and Electronics Engineers Inc. |
| record_format | dspace |
| spelling | oai:generic.eprints.org:140192013-07-22T03:24:07Z http://irep.iium.edu.my/14019/ Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings Udaya, Paramapalli Siddiqi, Mohammad Umar TK5101 Telecommunication. Including telegraphy, radio, radar, television We construct new sequences over finite rings having optimal Hamming correlation properties. These sequences are useful in frequency hopping multiple-access (FHMA) spreadspectrum communication systems. Our constructions can be classified into linear and nonlinear categories, both giving optimal Hamming correlations according to Lempel-Greenberger bound. The nonlinear sequences have large linear complexity and can be seen as a generalized version of GMW sequences over fields Institute of Electrical and Electronics Engineers Inc. 1998 Article PeerReviewed application/pdf en http://irep.iium.edu.my/14019/1/Optimal_Large_Linear_Complexity_Frequency_Hopping_Patterns_Derived_from_Polynomial_Residue_Class_Rings.pdf Udaya, Paramapalli and Siddiqi, Mohammad Umar (1998) Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings. IEEE Transactions on Information Theory, 44 (4). pp. 1492-1503. ISSN 0018-9448 http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=681324&sortType%3Dasc_p_Sequence%26filter%3DAND%28p_IS_Number%3A14976%29 10.1109/18.681324 |
| spellingShingle | TK5101 Telecommunication. Including telegraphy, radio, radar, television Udaya, Paramapalli Siddiqi, Mohammad Umar Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings |
| title | Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings |
| title_full | Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings |
| title_fullStr | Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings |
| title_full_unstemmed | Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings |
| title_short | Optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings |
| title_sort | optimal large linear complexity frequency hopping patterns derived from polynomial residue class rings |
| topic | TK5101 Telecommunication. Including telegraphy, radio, radar, television |
| url | http://irep.iium.edu.my/14019/1/Optimal_Large_Linear_Complexity_Frequency_Hopping_Patterns_Derived_from_Polynomial_Residue_Class_Rings.pdf |
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