Binary t-frameproof codes (t-FPCs) are used in multimedia fingerprinting schemes where the identification of authorized users taking part in the averaging collusion attack is required. In this paper, a binary strongly t-separable code (t-SSC) is introduced to improve such a scheme based on a binary t-FPC. A binary t-SSC has the same traceability as a binary t-FPC but has more codewords than a b...

In general, an n-ary predicate (relation) describes the relationship among its arguments, and such that no argument has to be of a special mode. The uniication and the resolution (SLDNF-resolution) do capture this state of aaair. Hence, the aim of logic programming is in some point approximatively achieved if the system is able to automatically determine the descriptive mode of an n-ary predica...

In this paper, we investigate the fault-tolerant capabilities of the k-ary n-cubes for even integer k with respect to the hamiltonian and hamiltonian-connected properties. The k-ary n-cube is a bipartite graph if and only if k is an even integer. Let F be a faulty set with nodes and/or links, and let k 3 be an odd integer. When |F | 2n−2, we show that there exists a hamiltonian cycle in a wound...

The notion of absorption was developed a few years ago by Barto and Kozik and immediately found many applications, particularly in topics related to the constraint satisfaction problem. We investigate the behavior of absorption in semigroups and n-ary semigroups (that is, algebras with one n-ary associative operation). In the case of semigroups, we give a simple necessary and sufficient conditi...

The Golay complementary sequences have been studied for more than five decades since Golay first discovered those sequences. However, few studies on the correlation function of transformation form of q-ary complementary sequences. New notions of equivalent transformation on q-ary sequences and equivalent transformation pair of a q-ary sequence and its complex polyphase form are put forward. A t...

In this paper, for a prime number , a construction method to generate -ary -form sequences with the ideal autocorrelation property is proposed and using the ternary sequences found by Helleseth, Kumar, and Martinsen, ternary -form sequences with the ideal autocorrelation property are constructed. By combining the methods for generating -ary extended sequences (a special case of geometric sequen...

Coherent M-ary ASK is proposed to be used in OFDM systems. The frequency separation between subcarriers is only 1/2T instead of 1/T. With a slightly wider bandwidth, an M -ary ASK-OFDM can achieve the same BER of M-ary QAM-OFDM and a better BER than that of MPSK-OFDM. The M -ary ASK-OFDM has the same Peak-To-Average-Power Ratio (PAPR) as that of the M-ary QAM-OFDM. The MASKOFDM can be implement...

The interconnection network considered in this paper is the k-ary n-cube that is an attractive variance of the well-known hypercube. Many interconnection networks, including the ring, the torus and the hypercube, that are attractive in both theoretical interests and practical systems can be regarded as the subclasses of the k-ary n-cubes. In this paper, we investigate the fault tolerant cycle e...