Welcome to the resource topic for
**2006/434**

**Title:**

Balanced Boolean Functions with (more than) Maximum Algebraic Immunity

**Authors:**
Deepak Kumar Dalai, Subhamoy Maitra

**Abstract:**

In this correspondence, construction of balanced Boolean functions with maximum possible algebraic (annihilator) immunity (AI) is studied with an additional property which is necessary to resist fast algebraic attack. The additional property considered here is, given an n-variable (n even) balanced function f with maximum possible AI \frac{n}{2}, and given two n-variable Boolean functions g, h such that fg = h, if \deg(h) = \frac{n}{2}, then \deg(g) must be greater than or equal to \frac{n}{2}. Our results can also be used to present theoretical construction of resilient Boolean functions having maximum possible AI.

**ePrint:**
https://eprint.iacr.org/2006/434

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

**Example resources include:**
implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .