UR Scholarship Repository

Title

Integer Maxima in Power Envelopes of Golay Codewords

Authors

Michael W. Cammarano
Meredith L. Walker

Document Type

Technical Report

Publication Date

4-6-1999

Abstract

This paper examines the distribution of integer peaks amoung Golay cosets in Ζ_4. It will prove that the envelope power of at least one element of every Golay coset of Ζ₄ of length 2^m (for m-even) will have a maximum at exactly 2^m+1. Similarly it will be proven that one element of every Golay coset of Ζ₄ of length 2^m (for m-odd) will have a maximum at exactly 2^m+1. Observations and partial arguments will be made about why Golay cosets of Ζ₄ of length 2^m (for m-even) contain no elements with such a peak.

Comments

Copyright © 1999, Michael W. Cammarano and Meredith L. Walker, University of Richmond, Richmond, Virginia.

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Recommended Citation

Michael W. Cammarano and Meredith L. Walker. Integer Maxima in Power Envelopes of Golay Codewords. Technical paper (TR-99-01). Math and Computer Science Technical Report Series. Richmond, Virginia: Department of Mathematics and Computer Science, University of Richmond, April, 1999.