The Partition Weight Enumerator of MDS Codes and its Applications

A closed form formula of the partition weight enumerator of maximum distance separable (MDS) codes is derived for an arbitrary number of partitions. Using this result, some properties of MDS codes are discussed. The results are extended for the average binary image of MDS codes in finite fields of characteristic two. As an application, we study the multiuser error probability of Reed Solomon codes.Comment: This is a five page conference version of the paper which was accepted by ISIT 2005. For more information, please contact the author

Transformational Leadership and Knowledge Management: Analysing the Knowledge Management Models

The purpose of the present study is to investigate the mutual relationship between transformational leadership and knowledge management as well the potential effects of a transformational leader on his or her followers. In this paper, we review the role of transformational leadership in effective knowledge management and establish the emerging role of transformational leadership, as an ideal leadership style in building knowledge-based companies to achieve a higher degree of competitive advantage. The findings in this article are based upon previous empirical studies that illustrate the formulation of several propositions that contribute to the knowledge management processes. Our findings are based upon possible scenarios that impact transformational leadership and knowledge management using grounded theoretical research. Research limitations are twofold. One limitation is found in the prior literature indicating that past studies have posited that companies might lack the required capabilities or decide to decline from interacting with other companies (Caldwell & Ancona 1988), or even distrust sharing their knowledge (Kraut & Streeter 1995). And, second, our contribution to the literature lies in presenting a link between knowledge management and transformational leadership that incorporates the knowledge management processes that may impact the effectiveness of transformational leaders to enhance their capabilities to effectively play their roles within companies. In addition, managerial applications that may support knowledge management processes are proposed further research is necessary to finalise conclusions. The original value of this research provides an impetus of mutual interaction of knowledge management and transformational leadership

Transformational Leadership: Building an Effective Culture to Manage Organisational Knowledge

This paper reviews the current literature of management to indicate how transformational leaders contribute to organisational knowledge by building an effective culture. The paper is based on a review of leadership theories, organisational knowledge, organisational culture and the integration of concepts from the knowledge-based view of the firm. This review also indicates that to develop organisational knowledge transformational leaders act as change agents who influence organisational culture which can in turn mediate the relationship between transformational leadership and organisational knowledge

Iterative Algebraic Soft-Decision List Decoding of Reed-Solomon Codes

In this paper, we present an iterative soft-decision decoding algorithm for Reed-Solomon codes offering both complexity and performance advantages over previously known decoding algorithms. Our algorithm is a list decoding algorithm which combines two powerful soft decision decoding techniques which were previously regarded in the literature as competitive, namely, the Koetter-Vardy algebraic soft-decision decoding algorithm and belief-propagation based on adaptive parity check matrices, recently proposed by Jiang and Narayanan. Building on the Jiang-Narayanan algorithm, we present a belief-propagation based algorithm with a significant reduction in computational complexity. We introduce the concept of using a belief-propagation based decoder to enhance the soft-input information prior to decoding with an algebraic soft-decision decoder. Our algorithm can also be viewed as an interpolation multiplicity assignment scheme for algebraic soft-decision decoding of Reed-Solomon codes.Comment: Submitted to IEEE for publication in Jan 200

Performance enhancements for algebraic soft decision decoding of Reed-Solomon codes

In an attempt to determine the ultimate capabilities of the Sudan-Guruswami-Sudan-Kotter-Vardy algebraic soft decision decoding algorithm for Reed-Solomon codes, we present a new method, based on the Chernoff bound, for constructing multiplicity matrices. In many cases, this technique predicts that the potential performance of ASD decoding of RS codes is significantly better than previously thought