Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variables
Some properties of rotation symmetric orbits were proposed in n dimensional vector space over finite field of characteristic 2,a matrix on the distributions of number pairs such as 00,01 and 11 was defined,and a new characterization of 2-resilient rotation symmetric functions was introduced.Construc...
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| Format: | Article |
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Editorial Department of Journal on Communications
2020-11-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2020213 |
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| _version_ | 1850210620814655488 |
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| author | Jiao DU Chunhong LIU Shanqi PANG |
| author_facet | Jiao DU Chunhong LIU Shanqi PANG |
| author_sort | Jiao DU |
| collection | DOAJ |
| description | Some properties of rotation symmetric orbits were proposed in n dimensional vector space over finite field of characteristic 2,a matrix on the distributions of number pairs such as 00,01 and 11 was defined,and a new characterization of 2-resilient rotation symmetric functions was introduced.Constructions of rotation symmetric 2-resilient Boolean functions with 4t-1 number of variables were presented by modifying the support of the linear rotation symmetric functions,such as f<sub>0</sub>(x)=x<sub>1</sub>+x<sub>2</sub>+…+x<sub>n</sub>,where n=4t-1.At last,an example was demonstrated to introduce the spirit of the proposed method to construct 2-resilient rotation symmetric functions with 4t-1 number of variables. |
| format | Article |
| id | doaj-art-50a8df3cb8c042dabbedf667fc18d921 |
| institution | OA Journals |
| issn | 1000-436X |
| language | zho |
| publishDate | 2020-11-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-50a8df3cb8c042dabbedf667fc18d9212025-08-20T02:09:44ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2020-11-014116917559738783Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variablesJiao DUChunhong LIUShanqi PANGSome properties of rotation symmetric orbits were proposed in n dimensional vector space over finite field of characteristic 2,a matrix on the distributions of number pairs such as 00,01 and 11 was defined,and a new characterization of 2-resilient rotation symmetric functions was introduced.Constructions of rotation symmetric 2-resilient Boolean functions with 4t-1 number of variables were presented by modifying the support of the linear rotation symmetric functions,such as f<sub>0</sub>(x)=x<sub>1</sub>+x<sub>2</sub>+…+x<sub>n</sub>,where n=4t-1.At last,an example was demonstrated to introduce the spirit of the proposed method to construct 2-resilient rotation symmetric functions with 4t-1 number of variables.http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2020213cryptography;rotation symmetric function;orthogonal array;resilient function;support table |
| spellingShingle | Jiao DU Chunhong LIU Shanqi PANG Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variables Tongxin xuebao cryptography;rotation symmetric function;orthogonal array;resilient function;support table |
| title | Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variables |
| title_full | Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variables |
| title_fullStr | Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variables |
| title_full_unstemmed | Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variables |
| title_short | Constructions of rotation symmetric 2-resilient functions with 4t<sub>-</sub>1 number of variables |
| title_sort | constructions of rotation symmetric 2 resilient functions with 4t sub sub 1 number of variables |
| topic | cryptography;rotation symmetric function;orthogonal array;resilient function;support table |
| url | http://www.joconline.com.cn/thesisDetails#10.11959/j.issn.1000-436x.2020213 |
| work_keys_str_mv | AT jiaodu constructionsofrotationsymmetric2resilientfunctionswith4tsubsub1numberofvariables AT chunhongliu constructionsofrotationsymmetric2resilientfunctionswith4tsubsub1numberofvariables AT shanqipang constructionsofrotationsymmetric2resilientfunctionswith4tsubsub1numberofvariables |