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ON THE $k$-ERROR LINEAR COMPLEXITY OF SEQUENCES FROM FUNCTION FIELDS

Part of: Communication, information

Published online by Cambridge University Press:  08 January 2020

YUHUI ZHOU ,
YUHUI HAN  and
YANG DING
YUHUI ZHOU
Affiliation:
Department of Mathematics, Shanghai University, Shanghai, China email yuhui1234@shu.edu.cn
YUHUI HAN
Affiliation:
Department of Mathematics, Shanghai University, Shanghai, China email 97Aimee@shu.edu.cn
YANG DING*
Affiliation:
Department of Mathematics, Shanghai University, Shanghai, China email dingyang@t.shu.edu.cn
*
✉dingyang@t.shu.edu.cn
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Abstract

The linear complexity and the error linear complexity are two important security measures for stream ciphers. We construct periodic sequences from function fields and show that the error linear complexity of these periodic sequences is large. We also give a lower bound for the error linear complexity of a class of nonperiodic sequences.

Keywords

sequencelinear complexityerror linear complexityalgebraic function fieldslocal expansion

MSC classification

Primary: 94A55: Shift register sequences and sequences over finite alphabets
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 102 , Issue 2 , October 2020 , pp. 342 - 352
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

This work was supported by the National Natural Science Foundation of China under Grant No. 11671248.

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