Qian-Qiong  Wu, Ming  Duan, 
    Construction and Count of Balanced Algebraic Immune Boolean Functions with Lobanov's Bound of Nonlinearity,
    Asian Journal of Information Technology,
    Volume 9,Issue 3,
    2010,
    Pages 179-182,
    ISSN 1682-3915,
    ajit.2010.179.182,
    (https://makhillpublications.co/view-article.php?doi=ajit.2010.179.182)
    Abstract: 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.
    Keywords: Algebraic attack;algebraic immunity;nonlinearity;Boolean function;balanced algebraic;immune;China