The round functions of KASUMI generate the alternating group

Journal of mathematical cryptology

article

Rüdiger Sparr¹  Ralph Wernsdorf¹ 

[1] Rohde & Schwarz SIT GmbH

关键词: KASUMI;    block cipher;    permutation groups;   

DOI  :  10.1515/jmc-2013-0028

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY|CC BY-NC-ND