TY - JOUR T1 - Construction and Count of Balanced Algebraic Immune Boolean Functions with Lobanov's Bound of Nonlinearity AU - Wu, Qian-Qiong AU - Duan, Ming JO - Asian Journal of Information Technology VL - 9 IS - 3 SP - 179 EP - 182 PY - 2010 DA - 2001/08/19 SN - 1682-3915 DO - ajit.2010.179.182 UR - https://makhillpublications.co/view-article.php?doi=ajit.2010.179.182 KW - Algebraic attack KW -algebraic immunity KW -nonlinearity KW -Boolean function KW -balanced algebraic KW -immune KW -China AB - Recently Lobanov’s tight bound of nonlinearity of balanced algebraic immune Boolean functions has received a lot of attention in cryptographic literature. In this study a general construction of balanced algebraic immune Boolean functions was given with the nonlinearity bound. Moreover from the construction, we get a lower bound of the count of balanced algebraic immune functions was got with the nonlinearity bound. As far as we know, this is the first bound about this count. ER -