Effect of self-invertible matrix on cipher hexagraphic polyfunction
A cryptography system was developed previously based on Cipher Polygraphic Polyfunction transformations, C(t)i×j≡Ati×iPi×jmodN where Ci×j , Pi×j , Ai×i are cipher text, plain text, and encryption key, respectively. Whereas, (t) is the number of transformations of plain text to cipher text. In this s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38355/1/38355.pdf |
| _version_ | 1796973330007326720 |
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| author | Lin, Sally Pei Ching Yunos, Faridah |
| author_facet | Lin, Sally Pei Ching Yunos, Faridah |
| author_sort | Lin, Sally Pei Ching |
| collection | UPM |
| description | A cryptography system was developed previously based on Cipher Polygraphic Polyfunction transformations, C(t)i×j≡Ati×iPi×jmodN where Ci×j , Pi×j , Ai×i are cipher text, plain text, and encryption key, respectively. Whereas, (t) is the number of transformations of plain text to cipher text. In this system, the parameters ( Ai×i,(t) ) are kept in secret by a sender of messages. The security of this system, including its combination with the second order linear recurrence Lucas sequence (LUC) and the Ron Rivest, Adi Shamir and Leonard Adleman (RSA) method, until now is being upgraded by some researchers. The studies found that there is some type of self-invertible A4×4 should be not chosen before transforming a plain text to cipher text in order to enhance the security of Cipher Tetragraphic Trifunction. This paper also seeks to obtain some patterns of self-invertible keys A6×6 and subsequently examine their effect on the system of Cipher Hexagraphic Polyfunction transformation. For that purpose, we need to find some solutions L3×3 for L23×3≡A3×3modN when A3×3 are diagonal and symmetric matrices and subsequently implement the key L3×3 to get the pattern of A6×6 . |
| first_indexed | 2024-03-06T08:41:03Z |
| format | Article |
| id | upm.eprints-38355 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:41:03Z |
| publishDate | 2019 |
| publisher | MDPI |
| record_format | dspace |
| spelling | upm.eprints-383552020-05-04T16:22:21Z http://psasir.upm.edu.my/id/eprint/38355/ Effect of self-invertible matrix on cipher hexagraphic polyfunction Lin, Sally Pei Ching Yunos, Faridah A cryptography system was developed previously based on Cipher Polygraphic Polyfunction transformations, C(t)i×j≡Ati×iPi×jmodN where Ci×j , Pi×j , Ai×i are cipher text, plain text, and encryption key, respectively. Whereas, (t) is the number of transformations of plain text to cipher text. In this system, the parameters ( Ai×i,(t) ) are kept in secret by a sender of messages. The security of this system, including its combination with the second order linear recurrence Lucas sequence (LUC) and the Ron Rivest, Adi Shamir and Leonard Adleman (RSA) method, until now is being upgraded by some researchers. The studies found that there is some type of self-invertible A4×4 should be not chosen before transforming a plain text to cipher text in order to enhance the security of Cipher Tetragraphic Trifunction. This paper also seeks to obtain some patterns of self-invertible keys A6×6 and subsequently examine their effect on the system of Cipher Hexagraphic Polyfunction transformation. For that purpose, we need to find some solutions L3×3 for L23×3≡A3×3modN when A3×3 are diagonal and symmetric matrices and subsequently implement the key L3×3 to get the pattern of A6×6 . MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38355/1/38355.pdf Lin, Sally Pei Ching and Yunos, Faridah (2019) Effect of self-invertible matrix on cipher hexagraphic polyfunction. Cryptography, 3 (2). art. no. 15. pp. 1-18. ISSN 2410-387X https://www.mdpi.com/2410-387X/3/2/15 10.3390/cryptography3020015 |
| spellingShingle | Lin, Sally Pei Ching Yunos, Faridah Effect of self-invertible matrix on cipher hexagraphic polyfunction |
| title | Effect of self-invertible matrix on cipher hexagraphic polyfunction |
| title_full | Effect of self-invertible matrix on cipher hexagraphic polyfunction |
| title_fullStr | Effect of self-invertible matrix on cipher hexagraphic polyfunction |
| title_full_unstemmed | Effect of self-invertible matrix on cipher hexagraphic polyfunction |
| title_short | Effect of self-invertible matrix on cipher hexagraphic polyfunction |
| title_sort | effect of self invertible matrix on cipher hexagraphic polyfunction |
| url | http://psasir.upm.edu.my/id/eprint/38355/1/38355.pdf |
| work_keys_str_mv | AT linsallypeiching effectofselfinvertiblematrixoncipherhexagraphicpolyfunction AT yunosfaridah effectofselfinvertiblematrixoncipherhexagraphicpolyfunction |