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p-ary unified sequences: p-ary extended d-form sequences with the ideal autocorrelation property

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1 Author(s)
Jong-Seon No ; Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., South Korea

In this paper, for a prime number p, a construction method to generate p-ary d-form sequences with the ideal autocorrelation property is proposed and using the ternary sequences found by Helleseth, Kumar, and Martinsen (2000), ternary d-form sequences with the ideal autocorrelation property are constructed. By combining the methods for generating p-ary extended sequences (a special case of geometric sequences) and p-ary d-form sequences, a construction method of p-ary unified (extended d-form) sequences which also have the ideal autocorrelation property is proposed. This is a very general class of p-ary sequences including the binary and nonbinary extended sequences and the d-form sequences. From the ternary sequences by Helleseth, Kumar, and Martinsen, ternary unified sequences with the ideal autocorrelation property are also generated.

Published in:

IEEE Transactions on Information Theory  (Volume:48 ,  Issue: 9 )