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Linear Complexity of A Family of Binary pq2 -periodic Sequences From Euler Quotients
Cryptography linear complexity binary sequences
2019/6/21
We first introduce a family of binary pq2pq2 -periodic sequences based on the Euler quotients modulo pqpq, where pp and qq are two distinct odd primes and pp divides q−1q−1. The minimal po...
An Algorithm for Counting the Number of $2^n$-Periodic Binary Sequences with Fixed $k$-Error Linear Complexity
Sequence Linear Complexity k-Error Linear Complexity
2016/12/7
The linear complexity and kk-error linear complexity of sequences are important measures of the strength of key-streams generated by stream ciphers. The counting function of a sequence complexity meas...
Statistics of Random Permutations and the Cryptanalysis Of Periodic Block Ciphers
Generating Functions EGF OGF Random Permutations
2009/6/12
A block cipher is intended to be computationally indistinguishable from a random permutation
of appropriate domain and range. But what are the properties of a random permutation? By
the aid of expon...
2-Adic Complexity of a Sequence Obtained from a Periodic Binary Sequence by Either Inserting or Deleting Symbols within One Period k
Periodic Binary Sequence 2-Adic Complexity k-symbol deletion
2009/6/5
In this paper, we propose a method to get the lower bounds of the 2-adic complexity of a sequence obtained from a periodic sequence over by either inserting or deleting symbols within one period. The ...
How to Win the Clone Wars：Efficient Periodic n-Times Anonymous Authentication
Clone Wars Efficient Periodic n-Times Anonymous Authentication
2009/1/6
We create a credential system that lets a user anonymously authenticate at most n times
in a single time period. A user withdraws a dispenser of n e-tokens. She shows an e-token to
a verifier to aut...