σ-LFSR是一基于字的LFSR模型,它能够充分利用现代CPU的特点,具有结构简单、适合软件快速实现的特点.在实际应用中,本原σ-LFSR最有价值,因此它的构造具有重要意义.本文首先考察了基于字的本原LFSR的距离向量,得到了它的若干性质,给出...σ-LFSR是一基于字的LFSR模型,它能够充分利用现代CPU的特点,具有结构简单、适合软件快速实现的特点.在实际应用中,本原σ-LFSR最有价值,因此它的构造具有重要意义.本文首先考察了基于字的本原LFSR的距离向量,得到了它的若干性质,给出了一个距离向量为本原LFSR的充要条件;然后对本原σ-LFSR的距离向量进行了研究,利用基判别定理给出了它的部分性质,并以此为基础得到了一个利用m-序列构造本原σ-LFSR序列的搜索算法.最后对搜索算法编程实现,得到了有限域F_(2~3)上所有2级本原σ-LFSR的距离向量.Abstract：σ-LFSR is a kind of word-oriented LFSR with high efficiency and good cryptographic properties, especially its software implementation is sequences are of the most valuable, so its construction is very important. Firstly, by studying the interval vectors of primitive LFSR based on word, a sufficient and necessary condition for one interval vector being a obtained. At last, programming of the search algorithm is realized and all the interval vectors of 2 stages primitiveσ-LFSR on F_(2~3) are given.展开更多
White-box cryptography is critical in a communication system to protect the secret key from being disclosed in a cryptographic algorithm code implementation.The stream cipher is a main dataflow encryption approach in ...White-box cryptography is critical in a communication system to protect the secret key from being disclosed in a cryptographic algorithm code implementation.The stream cipher is a main dataflow encryption approach in mobile communication.However,research work on white-box cryptographic implementation for stream cipher is rare.A new white-box Zu Chongzhi-128(ZUC-128)cryptographic implementation algorithm named WBZUC was proposed.WBZUC adopts lookup table and random coding in the non-linear function to make the intermediate value chaotic without changing the final encryption result.Thus,the WBZUC algorithm’s security gets improved compared with the original ZUC-128 algorithm.As for the efficiency,a test experiment on WBZUC shows that the average speed of key generation,encryption,and decryption can reach at 33.74 kbit/s,23.31 kbit/s,24.06 kbit/s respectively.Despite its running speed is relatively a bit lower than original ZUC-128 algorithm,WBZUC can provide better security and comprehensive performance in mobile communication system environment.展开更多
文摘σ-LFSR是一基于字的LFSR模型,它能够充分利用现代CPU的特点,具有结构简单、适合软件快速实现的特点.在实际应用中,本原σ-LFSR最有价值,因此它的构造具有重要意义.本文首先考察了基于字的本原LFSR的距离向量,得到了它的若干性质,给出了一个距离向量为本原LFSR的充要条件;然后对本原σ-LFSR的距离向量进行了研究,利用基判别定理给出了它的部分性质,并以此为基础得到了一个利用m-序列构造本原σ-LFSR序列的搜索算法.最后对搜索算法编程实现,得到了有限域F_(2~3)上所有2级本原σ-LFSR的距离向量.Abstract：σ-LFSR is a kind of word-oriented LFSR with high efficiency and good cryptographic properties, especially its software implementation is sequences are of the most valuable, so its construction is very important. Firstly, by studying the interval vectors of primitive LFSR based on word, a sufficient and necessary condition for one interval vector being a obtained. At last, programming of the search algorithm is realized and all the interval vectors of 2 stages primitiveσ-LFSR on F_(2~3) are given.
基金supported by the Beijing Natural Science Foundation(4232034)the Fundamental Research Funds for the Central Universities(328202222)the“Communication Engineering”and“Electronic Information Engineering”National First-Class Undergraduate Major Construction Project。
文摘White-box cryptography is critical in a communication system to protect the secret key from being disclosed in a cryptographic algorithm code implementation.The stream cipher is a main dataflow encryption approach in mobile communication.However,research work on white-box cryptographic implementation for stream cipher is rare.A new white-box Zu Chongzhi-128(ZUC-128)cryptographic implementation algorithm named WBZUC was proposed.WBZUC adopts lookup table and random coding in the non-linear function to make the intermediate value chaotic without changing the final encryption result.Thus,the WBZUC algorithm’s security gets improved compared with the original ZUC-128 algorithm.As for the efficiency,a test experiment on WBZUC shows that the average speed of key generation,encryption,and decryption can reach at 33.74 kbit/s,23.31 kbit/s,24.06 kbit/s respectively.Despite its running speed is relatively a bit lower than original ZUC-128 algorithm,WBZUC can provide better security and comprehensive performance in mobile communication system environment.
