Primitive polynomials and word oriented linear feedback shift registers
Through a large number of experiments, an explicit formula was proposed for the number of primitive σ-LFSRs over finite field, which generalized a known formula for the number of primitive LFSRs over finite field, and also was the extension of the number of primitive polynomial.Utilizing the given m...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2009-01-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/74650170/ |
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| _version_ | 1841537694633558016 |
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| author | ZENG Guang YANG Yang HAN Wen-bao FAN Shu-qin |
| author_facet | ZENG Guang YANG Yang HAN Wen-bao FAN Shu-qin |
| author_sort | ZENG Guang |
| collection | DOAJ |
| description | Through a large number of experiments, an explicit formula was proposed for the number of primitive σ-LFSRs over finite field, which generalized a known formula for the number of primitive LFSRs over finite field, and also was the extension of the number of primitive polynomial.Utilizing the given methods to distinguish the primitive σ-LFSR, the conjecture in three special cases was proved and a preliminary analysis for the general case was given. |
| format | Article |
| id | doaj-art-dcbc578be92a4861a98cdd303609f6a7 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2009-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-dcbc578be92a4861a98cdd303609f6a72025-01-14T08:27:10ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2009-01-013011111674650170Primitive polynomials and word oriented linear feedback shift registersZENG GuangYANG YangHAN Wen-baoFAN Shu-qinThrough a large number of experiments, an explicit formula was proposed for the number of primitive σ-LFSRs over finite field, which generalized a known formula for the number of primitive LFSRs over finite field, and also was the extension of the number of primitive polynomial.Utilizing the given methods to distinguish the primitive σ-LFSR, the conjecture in three special cases was proved and a preliminary analysis for the general case was given.http://www.joconline.com.cn/zh/article/74650170/cryptographystream cipherσ-LFSRprimitive polynomialgeneral linear group . |
| spellingShingle | ZENG Guang YANG Yang HAN Wen-bao FAN Shu-qin Primitive polynomials and word oriented linear feedback shift registers Tongxin xuebao cryptography stream cipher σ-LFSR primitive polynomial general linear group . |
| title | Primitive polynomials and word oriented linear feedback shift registers |
| title_full | Primitive polynomials and word oriented linear feedback shift registers |
| title_fullStr | Primitive polynomials and word oriented linear feedback shift registers |
| title_full_unstemmed | Primitive polynomials and word oriented linear feedback shift registers |
| title_short | Primitive polynomials and word oriented linear feedback shift registers |
| title_sort | primitive polynomials and word oriented linear feedback shift registers |
| topic | cryptography stream cipher σ-LFSR primitive polynomial general linear group . |
| url | http://www.joconline.com.cn/zh/article/74650170/ |
| work_keys_str_mv | AT zengguang primitivepolynomialsandwordorientedlinearfeedbackshiftregisters AT yangyang primitivepolynomialsandwordorientedlinearfeedbackshiftregisters AT hanwenbao primitivepolynomialsandwordorientedlinearfeedbackshiftregisters AT fanshuqin primitivepolynomialsandwordorientedlinearfeedbackshiftregisters |