WE1.R1.1

New Results on the Imbalance of FCSR Sequences and LFSR Subsequences

Yueying Lou, Qichun Wang, Nanjing Normal University, China
Session:
Symmetric Cryptography
Track:
5: Cryptography
Location:
Ballroom II & III
Presentation Time:
Wed, 10 Jul, 09:50 - 10:10
Session Chair:
Lukas Koelsch,
Abstract
Linear feedback shift registers (LFSRs) and feedback with carry shift registers (FCSRs) can be used in cryptography, communications and circuit testings. In 2014, Gu and Klapper investigated the imbalance properties of FCSR sequences and gave two bounds for the one symbol and two consecutive symbol cases, which were then improved in 2015. In 2016, the imbalance properties of LFSR subsequences were studied and an upper bound was deduced. In this paper, we revisit the imbalance properties of the above sequences and improve upon their bounds.
Session WE1.R1
WE1.R1.1: New Results on the Imbalance of FCSR Sequences and LFSR Subsequences
Yueying Lou, Qichun Wang, Nanjing Normal University, China
WE1.R1.2: An Answer to an Open Problem on Balanced Boolean Functions with the Maximum Possible Walsh Supports
Yueying Lou, Qichun Wang, Nanjing Normal University, China
WE1.R1.3: A Study of APN Functions in Dimension 7 using Antiderivatives
Lukas Kölsch, University of South Florida, United States; Alexandr Polujan, Otto von Guericke University, Germany
WE1.R1.4: When does a bent concatenation not belong to the completed Maiorana-McFarland class?
Sadmir Kudin, Enes Pasalic, University of Primorska, Slovenia; Alexandr Polujan, Otto von Guericke University, Germany; Fengrong Zhang, Xidian University, China
Resources
View Manuscript