P-ary Unified Sequences: P-ary Extended D-form Sequences with the Ideal Autocorrelation Property
نویسنده
چکیده
In this paper, for a prime number , a construction method to generate -ary -form sequences with the ideal autocorrelation property is proposed and using the ternary sequences found by Helleseth, Kumar, and Martinsen, ternary -form sequences with the ideal autocorrelation property are constructed. By combining the methods for generating -ary extended sequences (a special case of geometric sequences) and -ary -form sequences, a construction method of -ary unified (extended -form) sequences which also have the ideal autocorrelation property is proposed. This is a very general class of -ary sequences including the binary and nonbinary extended sequences and the -form sequences. From the ternary sequences by Helleseth, Kumar, and Martinsen, ternary unified sequences with the ideal autocorrelation property are also generated.
منابع مشابه
Generalized P-ary Sequences with Two-level Autocorrelation
In this paper, we find a family of -ary sequences with ideal two-level autocorrelation with symbols in the finite field . The proposed family may be considered as a generalization of the well-known nonbinary sequences introduced by Helleseth and Gong. Using the constructed sequences and -sequences, we present a family of -ary sequences of which the correlation property is optimal in terms of th...
متن کاملOn a Connection between Ideal Two-level Autocorrelation and Almost Balancedness of $p$-ary Sequences
In this correspondence, for every periodic p−ary sequence satisfying ideal two-level autocorrelation property the existence of an element of the field GF(p) which appears one time less than all the rest that are equally distributed in a period of that sequence, is proved by algebraic method. In addition, it is shown that such a special element might not be only the zero element but as well arbi...
متن کاملA New Construction of Optimal p2-Ary Low Correlation Zone Sequences Using Unified Sequences
In this paper, given an integer e and n such that e|n, and a prime p, we propose a method of constructing optimal p2-ary low correlation zone (LCZ) sequence set with parameters (pn−1, pe−1, (pn −1)/(pe − 1), 1) from a p-ary sequence of the same length with ideal autocorrelation. The resulting p2-ary LCZ sequence set can be viewed as the generalization of the optimal quaternary LCZ sequence set ...
متن کاملAutocorrelation and Lower Bound on the 2-Adic Complexity of LSB Sequence of p-ary m-Sequence
In modern stream cipher, there are many algorithms, such as ZUC, LTE encryption algorithm and LTE integrity algorithm, using bit-component sequences of p-ary m-sequences as the input of the algorithm. Therefore, analyzing their statistical property (For example, autocorrelation, linear complexity and 2-adic complexity) of bit-component sequences of p-ary m-sequences is becoming an important res...
متن کاملConstruction of Optimal p-ary Low Correlation Zone Sequences
In this paper, given an integer e and n such that e|n, and a prime p, we propose a method of constructing optimal p-ary low correlation zone (LCZ) sequence set with parameters (p − 1, p − 1, (p − 1)/(p − 1), 1) from a p-ary sequence of the same length with ideal autocorrelation.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- IEEE Trans. Information Theory
دوره 48 شماره
صفحات -
تاریخ انتشار 2002