An application of vector space theory in data transmission

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An application of vector space theory in data transmission

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ACM SIGCSE Bulletin archive
Volume 38 , Issue 2 (June 2006) table of contents

COLUMN: Featured column table of contents

Pages: 33 - 36

Year of Publication: 2006

ISSN:0097-8418

Author

LieJune Shiau

University of Houston-Clear Lake, Houston, Texas

Publisher

ACM New York, NY, USA

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ABSTRACT

This work illustrates an application of vector spaces to data transmission theory. We show how Hamming code error detection and error correction are done through the tool of various theories in vector space. It is hoped that this article will explain the importance of abstract mathematics, such as vector space and basis, in the application of data transmission, which enlightens mathematics and computer science majors.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Berlekamp, E., Algebraic Coding Theory, McGraw-Hill Book Company, 1968.
	2	Hill, R., Elementary Linear Algebra with Applications, Saunders College publishing, 1996.
	3	Lin, S., An Introduction to Error-Correcting Codes, Prentice-Hall, 1970.