Deterministic Dense Coding and Faithful Teleportation with Multipartite Graph States

We proposed novel schemes to perform the deterministic dense coding and faithful teleportation with multipartite graph states. We also find the sufficient and necessary condition of a viable graph state for the proposed scheme. That is, for the associated graph, the reduced adjacency matrix of the Tanner-type subgraph between senders and receivers should be invertible.Comment: 10 pages, 1 figure;v2. discussions improve

Moduli of abelian varieties and p-divisible groups

Lecture notes at a conference on Arithmetic Geometry, Goettingen, July/August 2006: Density of ordinary Hecke orbits and a conjecture by Grothendieck on deformations of p-divisible groups.Comment: 92 page

A 1998 Social Accounting Matrix for Thailand

This paper documents the features of a 1998 social accounting matrix (SAM) for Thailand. It begins with a description of the overall economy both via a macro SAM and a national accounts balance sheet. The macro SAM was the result of aggregating a micro SAM; a mapping of the final micro SAM to the macro SAM is presented. The micro SAM was a modified version of a SAM obtained from the Thai Development Research Institute (TDRI). The paper describes the modification process in detail. The original dataset obtained from TDRI was a "balanced™ matrix." The converted SAM, after the modification, was still balanced. It was therefore unnecessary to apply any balancing procedure. The final 1998 micro SAM for Thailand has 61 sectors, 3 household types, and 3 factors (labor, agricultural capital, and non-agricultural capital). Particularly helpful for the intended analysis on energy and environmental policy is that it has 8 primary energy sectors, 5 transportation sectors, and a health and medical treatment commodity account.Social accounting Thailand. ,Economic surveys Thailand. ,Household surveys Thailand. ,TMD ,

Hecke Operators on Drinfeld Cusp Forms

In this paper, we study the Drinfeld cusp forms for $\Gamma_1(T)$ and $\Gamma(T)$ using Teitelbaum's interpretation as harmonic cocycles. We obtain explicit eigenvalues of Hecke operators associated to degree one prime ideals acting on the cusp forms for $\Gamma_1(T)$ of small weights and conclude that these Hecke operators are simultaneously diagonalizable. We also show that the Hecke operators are not diagonalizable in general for $\Gamma_1(T)$ of large weights, and not for $\Gamma(T)$ even of small weights. The Hecke eigenvalues on cusp forms for $\Gamma(T)$ with small weights are determined and the eigenspaces characterized.Comment: 28 pages To appear in JN

Secure secret sharing in the cloud

In this paper, we show how a dealer with limited resources is possible to share the secrets to players via an untrusted cloud server without compromising the privacy of the secrets. This scheme permits a batch of two secret messages to be shared to two players in such a way that the secrets are reconstructable if and only if two of them collaborate. An individual share reveals absolutely no information about the secrets to the player. The secret messages are obfuscated by encryption and thus give no information to the cloud server. Furthermore, the scheme is compatible with the Paillier cryptosystem and other cryptosystems of the same type. In light of the recent developments in privacy-preserving watermarking technology, we further model the proposed scheme as a variant of reversible watermarking in the encrypted domain

Reversible data hiding in JPEG images based on adjustable padding

In this paper, we propose a reversible data hiding scheme that enables an adjustable amount of information to be embedded in JPEG images based on padding strategy. The proposed embedding algorithm only modifies, in a subtle manner, an adjustable number of zero-valued quantised DCT coefficients to embed the message. Hence, compared with a state-of-the-art based on histogram shifting, the proposed scheme has a relatively low distortion to the host images. In addition to this, we found that by representing the message in ternary instead of in binary, we can embed a greater amount of information while the level of distortion remains unchanged. Experimental results support that the proposed scheme can achieve better visual quality of the marked JPEG image than the histogram shifting based scheme. The proposed scheme also outperforms this state-of-the-art in terms of the ease of implementation