The round functions of KASUMI generate the alternating group
We show that the round functions of the KASUMI block cipher for odd and even round type generate the alternating group on the message space. Moreover, under the assumption of independent round keys, we prove that also the KASUMI two-round functions and the KASUMI encryption functions generate the al...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-03-01
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| Series: | Journal of Mathematical Cryptology |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jmc-2013-0028 |
| _version_ | 1828136826470137856 |
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| author | Sparr Rüdiger Wernsdorf Ralph |
| author_facet | Sparr Rüdiger Wernsdorf Ralph |
| author_sort | Sparr Rüdiger |
| collection | DOAJ |
| description | We show that the round functions of the KASUMI block cipher for
odd and even round type generate the alternating group on the message space. Moreover, under the assumption of independent round keys, we prove that also the KASUMI two-round functions and the KASUMI encryption functions generate the alternating group. |
| first_indexed | 2024-04-11T18:09:58Z |
| format | Article |
| id | doaj.art-a7040e586d954de1824e027c640bb546 |
| institution | Directory Open Access Journal |
| issn | 1862-2976 1862-2984 |
| language | English |
| last_indexed | 2024-04-11T18:09:58Z |
| publishDate | 2015-03-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Journal of Mathematical Cryptology |
| spelling | doaj.art-a7040e586d954de1824e027c640bb5462022-12-22T04:10:11ZengDe GruyterJournal of Mathematical Cryptology1862-29761862-29842015-03-0191233210.1515/jmc-2013-0028The round functions of KASUMI generate the alternating groupSparr Rüdiger0Wernsdorf Ralph1Rohde & Schwarz SIT GmbH, Am Studio 3, 12489 Berlin, GermanyRohde & Schwarz SIT GmbH, Am Studio 3, 12489 Berlin, GermanyWe show that the round functions of the KASUMI block cipher for odd and even round type generate the alternating group on the message space. Moreover, under the assumption of independent round keys, we prove that also the KASUMI two-round functions and the KASUMI encryption functions generate the alternating group.https://doi.org/10.1515/jmc-2013-0028kasumiblock cipherpermutation groups94a6020b35 |
| spellingShingle | Sparr Rüdiger Wernsdorf Ralph The round functions of KASUMI generate the alternating group Journal of Mathematical Cryptology kasumi block cipher permutation groups 94a60 20b35 |
| title | The round functions of KASUMI generate the alternating group |
| title_full | The round functions of KASUMI generate the alternating group |
| title_fullStr | The round functions of KASUMI generate the alternating group |
| title_full_unstemmed | The round functions of KASUMI generate the alternating group |
| title_short | The round functions of KASUMI generate the alternating group |
| title_sort | round functions of kasumi generate the alternating group |
| topic | kasumi block cipher permutation groups 94a60 20b35 |
| url | https://doi.org/10.1515/jmc-2013-0028 |
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