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Recently, denial-of-service (DoS) attack has become a pressing problem due to the lack of an efficient method to locate the real attackers and ease of launching an attack with readily available source codes on the Internet. Traceback is a subtle scheme to tackle DoS attacks. Probabilistic packet marking (PPM) is a new way for practical IP traceback.(More)
ÐArray operations are used in a large number of important scientific codes, such as molecular dynamics, finite element methods, climate modeling, etc. To implement these array operations efficiently, many methods have been proposed in the literature. However, the majority of these methods are focused on the two-dimensional arrays. When extended to higher(More)
—In our previous work, we have proposed the extended Karnaugh map representation (EKMR) scheme for multidimensional array representation. In this paper, we propose two data compression schemes, EKMR Compressed Row/ Column Storage (ECRS/ECCS), for multidimensional sparse arrays based on the EKMR scheme. To evaluate the proposed schemes, we compare them to(More)
—Array operations are useful in a large number of important scientific codes, such as molecular dynamics, finite element methods, climate modeling, atmosphere and ocean sciences, etc. In our previous work, we have proposed a scheme extended Karnaugh map representation (EKMR) for multidimensional array representation. We have shown that sequential(More)
For sparse array operations, in general, the sparse arrays are compressed by some data compression schemes in order to obtain better performance. The Compressed Row/Column Storage (CRS/CCS) schemes are the two common used data compression schemes for sparse arrays in the traditional matrix representation (TMR). When extended to higher dimensional sparse(More)
Matrix operations are the core of many linear systems. Efficient matrix multiplication is critical to many numerical applications, such as climate modeling, molecular dynamics, computational fluid dynamics and etc. Much research work has been done to improve the performance of matrix operations. However, the majority of these works is focused on(More)
In our previous work, we have studied three data distribution schemes, Send Followed Compress (SFC), Compress Followed Send (CFS), and Encoding-Decoding (ED), for sparse arrays based on the traditional matrix representation (TMR) scheme. Since multi-dimensional arrays can also be represented by the extended Karnaugh map representation (EKMR) scheme, in this(More)