CODES

作品数:387被引量:367H指数:9
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On Isodual Double Toeplitz Codes
《Journal of Systems Science & Complexity》2024年第5期2196-2206,共11页SHI Minjia XU Li SOLÉ Patrick 
supported by the National Natural Science Foundation of China under Grant No.12071001。
Double Toeplitz(shortly DT)codes are introduced here as a generalization of double circulant codes.The authors show that such a code is isodual,hence formally self-dual(FSD).FSD codes form a far-reaching generalizatio...
关键词:Double circulant codes double Toeplitz codes isodual codes formally self-dual codes 
The Adjacency Codes of the First Yellow Graphs
《Journal of Systems Science & Complexity》2023年第4期1757-1768,共12页SHI Minjia LI Shitao KIM Jon-Lark SOLE Patrick 
supported by the National Natural Science Foundation of China under Grant Nos. 12071001;2021 University Graduate Research Project under Grant Nos. Y020410077;the National Natural Science Foundation of China under Grant No. 12201170;the Natural Science Foundation of Anhui Province under Grant No. 2108085QA03
The authors study the binary codes spanned by the adjacency matrices of the strongly regular graphs(SRGs)on at most two hundred vertices whose existence is unknown.The authors show that in length less than one hundred...
关键词:Cyclic codes strongly regular graphs adjacency codes self-orthogonal codes 
Integer Codes Correcting Single Errors and Random Asymmetric Errors within a Byte
《Journal of Systems Science & Complexity》2020年第6期2103-2113,共11页RADONJIC Aleksandar VUJICIC Vladimir 
In optical networks without optical amplifiers(ONWOAs) photons may fade or fail to be detected, but new photons cannot be generated. Hence, under normal conditions, only 1 → 0 errors can occur. However, in some situa...
关键词:Asymmetric errors decoding throughput integer codes optical networks single errors 
Complete Weight Enumerator for a Class of Linear Codes from Defining Sets and Their Applications
《Journal of Systems Science & Complexity》2019年第3期947-969,共23页LIU Haibo LIAO Qunying WANG Xiaofeng 
supported by the National Natural Science Foundation of China under Grant No.11401408;Project of Science and Technology Department of Sichuan Province under Grant No.2016JY0134;the National Key R and Program of China under Grant No.2016QY04W080
Recently, linear codes over finite fields with a few weights have been extensively studied due to their applications in secret sharing schemes, authentication codes, constant composition codes. In this paper, for an o...
关键词:Authentication CODES COMPLETE WEIGHT enumerator constant composition CODES EXPONENTIAL SUMS linear CODES SECRET sharing schemes WEIGHT distributions 
On LCD Negacyclic Codes over Finite Fields被引量:3
《Journal of Systems Science & Complexity》2018年第4期1065-1077,共13页PANG Binbin ZHU Shixin SUN Zhonghua 
supported by the National Natural Science Foundation of China under Grant Nos.61370089,61572168,11501156;the Anhui Provincial Natural Science Foundation under Grant No.1508085SQA198
This paper deduces the structure of LCD negacyclic codes over the finite field Fq, where q is an odd prime power. Based on the study of q-cyclotomic cosets modulo 2n, the authors obtain the parameters of LCD negacycli...
关键词:LCD codes MDS codes negacyclic codes. 
An Analogue of the Z4-Goethals Code in Non-Primitive Length
《Journal of Systems Science & Complexity》2017年第4期950-966,共17页ALAHMADI Adel ALHAZMI Husain ALI Shakir HELLESETH Tor HIJAZI Rola LI Chunlei SOLE Patrick 
supported by the Norwegian Research Council
This paper constructs a cyclic Z_4-code with a parity-check matrix similar to that of Goethals code but in length 2~m+ 1, for all m ≥ 4. This code is a subcode of the lifted Zetterberg code for m even. Its minimum Le...
关键词:Cyclic codes Goethals code Z4-codes. 
OPTIMAL BINARY CODES FROM ONE-LEE WEIGHT CODES AND TWO-LEE WEIGHT PROJECTIVE CODES OVER Z_4被引量:7
《Journal of Systems Science & Complexity》2014年第4期795-810,共16页SHI Minjia WANG Yu 
supported by the National Natural Science Foundation of China under Grant Nos.61202068 and 11126174;Talents youth Fund of Anhui Province Universities under Grant No.2012SQRL020ZD;supported by Key Discipline Construction of Hefei University 2014XK08
This paper investigates the structures and properties of one-Lee weight codes and two-Lee weight projective codes over Z4.The authors first give the Pless identities on the Lee weight of linear codes over Z_4.Then the...
关键词:Gray map Lee weight one-weight codes projective codes two-weight codes. 
QUATERNARY DELSARTE-GOETHALS AND GOETHALS-DELSARTE CODES
《Journal of Systems Science & Complexity》2002年第1期43-51,共9页CUIJie WANZhexian 
In this paper, the quaternary Delsarte-Goethals code D(m,δ) and its dual code G(m,δ) are discussed. The type and the trace representation are given for D(m,δ), while the type and the minimum Lee weight are determin...
关键词:Quaternary Delsarte-Goethals code quaternaryGoethals-Delsarte code. 
ALGEBRAICALLY CONSTRUCTED COSTAS ARRAYS WITH SMALL NUMBER OF CROSS-COINCIDENCES
《Systems Science and Mathematical Sciences》2000年第3期242-249,共8页YANG Yixian(Information Security Center, Depertment of Information Engineering, Beijing University of Posts and Telecommunication, Beijing 100876, China) 
Eight families of Costas arrays with ideal cross-coincidence are algebraically constructed under the assumptin that the vertical shifts are appropriately bounded.These Costas arrays are useful for designing multiple C...
关键词:COSTAS ARRAYS signal design coding optical ORTHOGONAL CODES 
SOME NEW CONSTRUCTIONS OF CARTESIAN AUTHENTICATION CODES FROM SYMPLECTIC GEOMETRY被引量:31
《Systems Science and Mathematical Sciences》1994年第4期317-327,共11页YOU Hong GAO You(Northeast Normal University, Changchun 130024) 
NationalNaturalScienceFoundationofChina.ThenthevectorspaceVZ.(Fa)withtheaboveactionofthegroupSr..(Fa)iscalledtheZydimensionalsymplecticspace.LetPbeallm--dimensionalsubspaceofVZ.(FO).WeusethesameletterPtodenoteamatrixrepresentatiollofP,i.e
SOMENEWCONSTRUCTIONSOFCARTESIANAUTHENTICATIONCODESFROMSYMPLECTICGEOMETRYYOUHong;GAOYou(NortheastNormalUniver...
关键词:CARTESIAN AUTHENTICATION code construction SYMPLECTIC GEOMETRY 
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