In this letter, a property of the characteristic matrix of the Rotation Symmetric Boolean Functions (RSBFs) is characterized, and a sufficient and necessary condition for RSBFs being 1st correlation-immune (1-CI for simplicity) is obtained. This property is applied to construct resilient RSBFs of order 1 (1-resilient for simplicity) on pq variables, where p and q are both prime consistently in this letter. The results show that construction and counting of 1-resilient RSBFs on pq variables are equivalent to solving an equation system and counting the solutions. At last, the counting of all 1-resilient RSBFs on pq variables is also proposed.

This paper proposes a new construction of the visual secret sharing scheme for the (n,n)-threshold access structure applicable to color images. The construction uses matrices with n rows that can be identified with homogeneous polynomials of degree n. It is shown that, if we find a set of homogeneous polynomials of degree n satisfying a certain system of simultaneous partial differential equations, we can construct a visual secret sharing scheme for the (n,n)-threshold access structure by using the matrices corresponding to the homogeneous polynomials. The construction is easily extended to the cases of the (t,n)-threshold access structure and more general access structures.

Modern cryptology was born in the late seventies and developed in the eighties. A decade since 1991 is the period of continuation of the development and new expansion of cryptology. In this paper we survey the development of cryptologic researches in this decade with emphasis on the results in Japan. We also present some future important works and propose the foundation of a public institution for evaluation of information security techniques.

A multiple signature scheme proposed in [1] is proved to be insecure.

We describe our implementation of the Hypercube variation of the Multiple Polynomial Quadratic Sieve (HMPQS) integer factorization algorithm on a Parsytec GC computer with 128 processors. HMPQS is a variation on the Quadratic Sieve (QS) algorithm which inspects many quadratic polynomials looking for quadratic residues with small prime factors. The polynomials are organized as the nodes of an n-dimensional cube. We report on the performance of our implementations on factoring several large numbers for the Cunningham Project.

This paper presents a combinatiorial characterization of broadcast authentication in which a transmitter broadcasts v messages e1(s), , ev(s) to authenticate a source state s to all n receivers so that any k receivers cannot cheat any other receivers, where ei is a key. Suppose that each receiver has l keys. First, we prove that k < l if v < n. Then we show an upper bound of n such that n v(v - 1)/l(l - 1) for k = l - 1 and n /+ for k < l - 1. Further, a scheme for k = 1 - 1 which meets the upper bound is presented by using a BIBD and a scheme for k < l - 1 such than n = / is presented by using a Steiner system. Some other efficient schemes are also presented.