New construction of resilient functions with satisfying multiple cryptographic criteria

Yongzhuang Wei, Yupu Hu · 2004

The (n, m, t) resilient functions play an important role in the art of information security. In this correspondence, we give a new construction of (n, 1, t) resilient functions with satisfying PC(l) by using linear codes. Moreover, we deeply describe a general method for constructing of (n, m, t) resilient functions which satisfy multiple Cryptographic criteria including of satisfying PC(l), and high nonlinearity, good algebraic degree and so on. Furthermore, We still find these resilient functions are multiple-output plateaued functions. Deeply research on these functions is of great significance on the design and security analysis on the core component of Ciphers.

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