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In general, there are three popular basis representations, standard (canonical, polynomial) basis, normal basis, and dual basis, for representing elements in GF(2^m). Various basis representations have their distinct advantages and have their different associated multiplication architectures. In this paper, we will present a unified systolic multiplication architecture, by employing Hankel matrix-vector multiplication, for various basis representations. For various element representation in GF(2^m), we will show that various basis multiplications can be performed by Hankel matrix-vector multiplications. A comparison with existing and similar structures has shown that time complexities. the proposed architectures perform well both in space and 相似文献
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We present a new bit-parallel technique for approximate string matching. We
build on two previous techniques. The first one, BPM (Myers, 1999), searches for a pattern of
length m in a text of length n permitting
k differences in $O(\lceil m/w \rceil n)$ time, where w is the width of the computer word.
The second one, ABNDM (Navarro and Raffinot, 2000), extends a
sublinear-time exact algorithm to approximate searching. ABNDM relies on another
algorithm, BPA (Wu and Manber, 1992), which makes use of an
$O(k \lceil m/w \rceil n)$ time algorithm for its internal workings. BPA is slow but flexible
enough to support all operations required by ABNDM. We improve previous ABNDM
analyses, showing that it is average-optimal in number of inspected characters,
although the overall complexity is higher because of the $O(k \lceil m/w \rceil )$ work done
per inspected character. We then show that the faster BPM can be adapted to
support all the operations required by ABNDM. This involves extending it to
compute edit distance, to search for any pattern suffix, and to detect in
advance the impossibility of a later match. The solution to those challenges is
based on the concept of a witness, which permits sampling some dynamic
programming matrix values to bound, deduce or compute others fast. The
resulting algorithm is average-optimal for m ≤ w, assuming the alphabet
size is constant. In practice, it performs better than the original ABNDM and
is the fastest algorithm for several combinations of m, k and alphabet
sizes that are useful, for example, in natural language searching and
computational biology. To show that the concept of witnesses can be used in
further scenarios, we also improve a recent variant of BPM. The use of witnesses greatly improves the
running time of this algorithm too. 相似文献
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A new bit-parallel systolic multiplier over GF(2m) under the polynomial basis and normal basis is proposed. This new circuit is constructed by m
2 identical cells, each of which consists of one two-input AND gate, one three-input XOR gate and five 1-bit latches. Especially,
the proposed architecture is without the basis conversion as compared to the well-known multipliers with the redundant representation.
With this proposed multiplier, a parallel-in parallel-out systolic array has also been developed for computing inversion and
division over GF(2m). The proposed architectures are well suited to VLSI systems due to their regular interconnection pattern and modular structure.
相似文献
Che Wun ChiouEmail: |
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改进的中文近似字符串匹配算法 总被引:1,自引:0,他引:1
范立新 《计算机工程与应用》2006,42(34):172-174,207
BPM-BM算法在针对汉字等大字符集的近似字符串匹配时取得了很好的实际效果,但该算法在最差情况下的总体时间复杂度为O(!+nm)。而提出的IBPM-BM算法由于具有记忆的能力,保证了过滤阶段的无回溯,可以在理论上保证最差情况下的总体时间复杂度为O(!+n),而在最佳情况下的时间复杂度与BPM-BM算法一致。 相似文献
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设计了一种全新的光路由器。采用单独的100Mb/s的低速控制通道用来交换承载于波带(比特并行机制)带宽速率为80Gb/s的包,这种基于现场可编程门阵列(FPGA)实现的机制使得宽带交换可以应用在具备低时延、低成本特点的本地网(LAN)中,商用化的FPGA用于驱动带宽的Mach-Zehnder干涉仪(MZI)和半导体光放大器(s0A)交换机。详细描述了为控制通道和数据通道设计的2种不同的时钟数据恢复模块(CDR)系统及其相关测试分析。对控制通道所有8个通道进行测试表明,在需要路由选址的情况下,测试结果稳定,且没有误码,和噪音层面出现。对于1552.6nm数据通道进行的背靠背和需要路由选址情况下,通过对MZI光交叉和SOA光交叉测量,得到额外的因为路由操作而导致的2.3dB功率代价。 相似文献
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Ru Huang Ru Qi Han Yang Yuan Wang Ping K. Ko 《International Journal of Electronics》2013,100(3):287-300
An improved physical model for the collector current in the SOI submicrometre gate-controlled hybrid transistor (GCHT) is presented in this paper, with the bias-dependent dynamic threshold voltage of the GCHT redefined and evaluated, considering the impact of carrier injection on the inversion degree of the surface in the base. Many physical effects are taken into account in this model, including channel length modulation effect, mobility degradation effect, as well as high injection effect, source/drain series resistance and body-contact resistance effect, which may result in additional gate-body bias. The model is verified by comparison between calculated results, PISCES simulated results and experimental data. 相似文献
10.
Galois fields GF(2m) are used in modern communication systems such as computer networks, satellite links, or compact disks, and they play an
important role in a wide number of technical applications. They use arithmetic operations in the Galois field, where the multiplication
is the most important and one of the most complex operations. Efficient multiplier architectures are therefore specially important.
In this paper, a new method for multiplication in the canonical and normal basis over GF(2m) generated by an AOP (all-one-polynomial), which we have named the transpositional method, is presented. This new approach is based on the grouping and sharing of subexpressions. The theoretical space and time complexities of the bit-parallel canonical and normal basis multipliers
constructed using our approach are equal to the smallest ones found in the literature for similar methods, but the practical
implementation over reconfigurable hardware using our method reduces the area requirements of the multipliers.
José Luis Ima?a is Assistant Professor of Computer Architecture in the Department of Computer Architecture, Complutense University of Madrid
(Spain). He received the Ph.D. degree in Physics from the Complutense University in 2003. His current research interests are
computer architectures, VLSI technologies, logic design and verification, finite field arithmetic and cryptography.
Juan M. Sánchez-Pérez is Professor of Computer Architecture in the Department of Computer Science, University of Extremadura, Spain. He received
a PhD degree in Physics from the University Complutense of Madrid in 1976. His research interests are modern computer architectures,
VLSI technologies and logic design. 相似文献