Title | ||
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Correlation Of Column Sequences From The Arrays Of Sidelnikov Sequences Of Different Periods |
Abstract | ||
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We show that the non-trivial correlation of two properly chosen column sequences of length q - 1 from the array structure of two Sidelnikov sequences of periods q(e) - 1 and q(d) - 1, respectively, is upper-bounded by (2d - 1) root q + 1, if 2 <= e < d < 1/2 (root q - 2/root q + 1). Based on this, we propose a construction by combining properly chosen columns from arrays of size (q - 1) x q(e) - 1/q-1 with e = 2, 3,..., d. The combining process enlarge the family size while maintaining the upper-bound of maximum non-trivial correlation. We also propose an algorithm for generating the sequence family based on Chinese remainder theorem. The proposed algorithm is more efficient than brute force approach. |
Year | DOI | Venue |
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2019 | 10.1587/transfun.E102.A.1333 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
Sidelnikov sequences, array structure, correlation | Discrete mathematics,Correlation,Mathematics | Journal |
Volume | Issue | ISSN |
E102A | 10 | 0916-8508 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Min Kyu Song | 1 | 0 | 0.68 |
Hong-Yeop Song | 2 | 329 | 51.84 |