Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra
Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on...
Ausführliche Beschreibung
Autor*in: |
Lipiński, Z. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2019 |
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Schlagwörter: |
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Anmerkung: |
© The Author(s) 2019 |
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Übergeordnetes Werk: |
Enthalten in: Applicable algebra in engineering, communication and computing - Springer Berlin Heidelberg, 1990, 32(2019), 1 vom: 02. Nov., Seite 81-96 |
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Übergeordnetes Werk: |
volume:32 ; year:2019 ; number:1 ; day:02 ; month:11 ; pages:81-96 |
Links: |
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DOI / URN: |
10.1007/s00200-019-00402-1 |
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OLC2123338796 |
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10.1007/s00200-019-00402-1 doi (DE-627)OLC2123338796 (DE-He213)s00200-019-00402-1-p DE-627 ger DE-627 rakwb eng 510 620 004 VZ 510 004 600 VZ 11 ssgn Lipiński, Z. verfasserin aut Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra. Non-associative cryptography Octonion cryptography Octavian totient function Octonion RSA algorithm Quaternion cryptography Enthalten in Applicable algebra in engineering, communication and computing Springer Berlin Heidelberg, 1990 32(2019), 1 vom: 02. Nov., Seite 81-96 (DE-627)130915807 (DE-600)1051032-1 (DE-576)025004964 0938-1279 nnns volume:32 year:2019 number:1 day:02 month:11 pages:81-96 https://doi.org/10.1007/s00200-019-00402-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4247 GBV_ILN_4277 GBV_ILN_4318 AR 32 2019 1 02 11 81-96 |
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10.1007/s00200-019-00402-1 doi (DE-627)OLC2123338796 (DE-He213)s00200-019-00402-1-p DE-627 ger DE-627 rakwb eng 510 620 004 VZ 510 004 600 VZ 11 ssgn Lipiński, Z. verfasserin aut Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra. Non-associative cryptography Octonion cryptography Octavian totient function Octonion RSA algorithm Quaternion cryptography Enthalten in Applicable algebra in engineering, communication and computing Springer Berlin Heidelberg, 1990 32(2019), 1 vom: 02. Nov., Seite 81-96 (DE-627)130915807 (DE-600)1051032-1 (DE-576)025004964 0938-1279 nnns volume:32 year:2019 number:1 day:02 month:11 pages:81-96 https://doi.org/10.1007/s00200-019-00402-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4247 GBV_ILN_4277 GBV_ILN_4318 AR 32 2019 1 02 11 81-96 |
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10.1007/s00200-019-00402-1 doi (DE-627)OLC2123338796 (DE-He213)s00200-019-00402-1-p DE-627 ger DE-627 rakwb eng 510 620 004 VZ 510 004 600 VZ 11 ssgn Lipiński, Z. verfasserin aut Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra. Non-associative cryptography Octonion cryptography Octavian totient function Octonion RSA algorithm Quaternion cryptography Enthalten in Applicable algebra in engineering, communication and computing Springer Berlin Heidelberg, 1990 32(2019), 1 vom: 02. Nov., Seite 81-96 (DE-627)130915807 (DE-600)1051032-1 (DE-576)025004964 0938-1279 nnns volume:32 year:2019 number:1 day:02 month:11 pages:81-96 https://doi.org/10.1007/s00200-019-00402-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4247 GBV_ILN_4277 GBV_ILN_4318 AR 32 2019 1 02 11 81-96 |
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10.1007/s00200-019-00402-1 doi (DE-627)OLC2123338796 (DE-He213)s00200-019-00402-1-p DE-627 ger DE-627 rakwb eng 510 620 004 VZ 510 004 600 VZ 11 ssgn Lipiński, Z. verfasserin aut Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s) 2019 Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra. Non-associative cryptography Octonion cryptography Octavian totient function Octonion RSA algorithm Quaternion cryptography Enthalten in Applicable algebra in engineering, communication and computing Springer Berlin Heidelberg, 1990 32(2019), 1 vom: 02. Nov., Seite 81-96 (DE-627)130915807 (DE-600)1051032-1 (DE-576)025004964 0938-1279 nnns volume:32 year:2019 number:1 day:02 month:11 pages:81-96 https://doi.org/10.1007/s00200-019-00402-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2018 GBV_ILN_4247 GBV_ILN_4277 GBV_ILN_4318 AR 32 2019 1 02 11 81-96 |
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Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra. © The Author(s) 2019 |
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Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra. © The Author(s) 2019 |
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Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra. © The Author(s) 2019 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2123338796</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505072908.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230505s2019 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00200-019-00402-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2123338796</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00200-019-00402-1-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="a">620</subfield><subfield code="a">004</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="a">004</subfield><subfield code="a">600</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">11</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lipiński, Z.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s) 2019</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Non-associative cryptography</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Octonion cryptography</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Octavian totient function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Octonion RSA algorithm</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quaternion cryptography</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Applicable algebra in engineering, communication and computing</subfield><subfield code="d">Springer Berlin Heidelberg, 1990</subfield><subfield code="g">32(2019), 1 vom: 02. 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