On two windows multivariate cryptosystem depending on random parameters

• Date: 2018
• Main Authors: Romańczuk-Polubiec, Urszula, Ustimenko, Vasyl
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Cryptosystem; Multivariate cryptography; Postquantum cryptography; Algebraic incidence structure; Pseudorandom sequences; Pseudorandom walk in graph; 12Y05; 12Y99; 05C81; 05C85; 05C90; 94A60; 14G50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1180
• Journal Title: Algebra and Discrete Mathematics

The concept of multivariate bijective map of an affine space \(K^n\) over commutative Ring \(K\) was already used in Cryptography. We consider the idea of nonbijective multivariate polynomial map \(F_n\) of  \(K^n\) into \(K^n\) represented as ''partially invertible decomposition'...