Motivated by applications in advanced cryptographic protocols,research on arithmetizationoriented symmetric primitives has been rising in the field of symmetric cryptography in recent years.In this paper,the authors f...Motivated by applications in advanced cryptographic protocols,research on arithmetizationoriented symmetric primitives has been rising in the field of symmetric cryptography in recent years.In this paper,the authors focus on on the collision attacks for a family of arithmetization-oriented symmetric ciphers GMiMCHash.The authors firstly enhance the algebraically controlled differential attacks proposed by introducing more variables.Then,combining algebraic attacks and differential attacks,the authors propose algebraic-differential attacks on GMi MCHash.This attack method is shown to be effective by experiments on toy versions of GMi MCHash.The authors further introduce some tricks to reduce the complexities of algebraic-differential attacks and improve the success probability of finding collisions.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.61972393the Climbing Program from Institute of Information Engineering CAS under Grant No.E3Z0221112。
文摘Motivated by applications in advanced cryptographic protocols,research on arithmetizationoriented symmetric primitives has been rising in the field of symmetric cryptography in recent years.In this paper,the authors focus on on the collision attacks for a family of arithmetization-oriented symmetric ciphers GMiMCHash.The authors firstly enhance the algebraically controlled differential attacks proposed by introducing more variables.Then,combining algebraic attacks and differential attacks,the authors propose algebraic-differential attacks on GMi MCHash.This attack method is shown to be effective by experiments on toy versions of GMi MCHash.The authors further introduce some tricks to reduce the complexities of algebraic-differential attacks and improve the success probability of finding collisions.
