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A lower bound on the linear span of an FCSR

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5 Author(s)
Changho Seo ; Dept. of Appl. Math., Kongju Nat. Univ., South Korea ; Sangjin Lee ; Yeoulouk Sung ; Keunhee Han
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We have derived a lower bound on the linear span of a binary sequence generated by a feedback with carry shift register (FCSR) under the following condition: q is a power of a prime such that q=re (e⩾2) and r(=2p+1), where both r and p are 2-prime. This allows us to design FCSR stream ciphers similar to previously proposed linear feedback shift register (LFSR) stream ciphers

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IEEE Transactions on Information Theory  (Volume:46 ,  Issue: 2 )