Suthaharan Shan
UNC Greensboro, Greensboro, NC 27402, USA.
Patterns (N Y). 2023 May 3;4(7):100740. doi: 10.1016/j.patter.2023.100740. eCollection 2023 Jul 14.
This paper presents a Tamil language (TL) encoder that benefits advanced encryption technologies such as the advanced encryption standard (AES). It defines a product set of vowel and consonant sounds of the Tamil language and reveals its connection to Hardy-Ramanujan prime factors and Tamil letters as a one-to-one mapping. It also reveals that the Tamil letters, combined with the digits from 1 to 9, form a Galois field of over an irreducible polynomial of degree 8. Additionally, it implements these two mathematical properties, models the TL encoder, and replaces the pre-round transformation of AES with the model to enhance cryptographic strengths. The cryptographic strengths are measured by the runs test scores of the bit sequences of the ciphers of AES and compared with that of English language. The modeling and simulation conclude that the TL encoder enhances the cryptographic strength of AES at every step of the encryption flow.
本文提出了一种受益于高级加密标准(AES)等先进加密技术的泰米尔语(TL)编码器。它定义了泰米尔语元音和辅音的乘积集,并揭示了其与哈代 - 拉马努金素因数以及泰米尔字母的一一映射关系。它还表明,泰米尔字母与1到9的数字相结合,在一个8次不可约多项式上形成了一个伽罗瓦域。此外,它实现了这两个数学特性,对TL编码器进行建模,并用该模型替换AES的预轮变换以增强加密强度。加密强度通过AES密码的比特序列的游程检验分数来衡量,并与英语的进行比较。建模和仿真得出结论,TL编码器在加密流程的每一步都增强了AES的加密强度。