Open AccessA New Class of p ‐Ary Sequence Families with Low Correlation Property via m ‐Sequence
Author(s) -
Ren Wenli,
Fu Fangwei
Publication year - 2016
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2016.06.041
Subject(s) - sequence (biology) , decimation , correlation , combinatorics , prime (order theory) , mathematics , integer (computer science) , class (philosophy) , discrete mathematics , computer science , biology , geometry , telecommunications , artificial intelligence , genetics , bandwidth (computing) , programming language
For an odd prime p which is congruent to 3 module 4 and an odd integer k , we investigate the upper bound on the magnitude of cross correlation values of a p ‐ary m‐sequence s ( t ) and its decimated sequences s ( dt + l ) for a decimation value d . Using the above upper bound of the magnitude of cross correlation values of p ary m ‐sequence and its decimated sequences, we construct a new class of p ‐ary sequence families with low correlation property via m ‐sequence.