2-adic complexity of SLCE sequence |
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| Authors: | Yan WANG Shunbo LI Gaina XUE |
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| Affiliation: | School of Science,Xi’ an University of Architecture and Technology,Xi’ an 710055,China |
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| Abstract: | Aiming at the 2-adic complexity of Sidelnikov-Lempel-Cohn-Eastman sequences,autocorrelation function value of this kind of sequence was obtained by using the cyclotomic number.Based on the relationship between 2-adic complexity and autocorrelation function,properties of 2-adic complexity value were analyzed.According to the greatest common divisor between the autocorrelation function value and the period of SLCE sequence,the condition that the 2-adic complexity of a SLCE sequence reaches its maximum value was given.The results show that 2-adic complexity of SLCE sequence on many finite field can reach the maximum value. |
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| Keywords: | stream cipher Sidelnikov-Lempel-Cohn-Eastman sequence 2-adic complexity autocorrelation |
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