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Full-Text Articles in Mathematics
An Examination Of Codewords With Optimal Merit Factor, Michael W. Cammarano, Anthony G. Kirilusha
An Examination Of Codewords With Optimal Merit Factor, Michael W. Cammarano, Anthony G. Kirilusha
Department of Math & Statistics Technical Report Series
We examine the codewords with best possible merit factor (minimum sum of squares of periodic autocorrelations) for a variety of lengths. Many different approaches were tried in an attempt to find construction methods for such codewords, or for codewords with good but non-optimal merit factors.
Integer Maxima In Power Envelopes Of Golay Codewords, Michael W. Cammarano, Meredith L. Walker
Integer Maxima In Power Envelopes Of Golay Codewords, Michael W. Cammarano, Meredith L. Walker
Department of Math & Statistics Technical Report Series
This paper examines the distribution of integer peaks amoung Golay cosets in Ζ4. It will prove that the envelope power of at least one element of every Golay coset of Ζ4 of length 2m (for m-even) will have a maximum at exactly 2m+1. Similarly it will be proven that one element of every Golay coset of Ζ4 of length 2m (for m-odd) will have a maximum at exactly 2m+1. Observations and partial arguments will be made about why Golay cosets of Ζ4 of length 2m …