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A trinomial type of σ-LFSR oriented toward software implementation

Kai He

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Abstract

In this paper, we introduce a new type of feedback shift register based on words, called σ-linear feedback shift register (σ-LFSR) which can make full use of the in- structions of modern CPUs so that we can find good σ-LFSR with simple structure and fast software implementation. After analysis, we find a class of simple σ-LFSR with maximal period and give an algorithm of searching for those σ-LFSRs. As a result, we provide a new optional fast component in the design of modern word-based stream ciphers.

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What this paper is about

In this paper, we introduce a new type of feedback shift register based on words, called σ-linear feedback shift register (σ-LFSR) which can make full use of the in- structions of modern CPUs so that we can find good σ-LFSR with simple structure and fast software implementation. After analysis, we find a class of simple σ-LFSR with maximal period and give an algorithm of searching for those σ-LFSRs. As a result, we provide a new optional fast component in the design of modern word-based stream ciphers.

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Available abstract

In this paper, we introduce a new type of feedback shift register based on words, called σ-linear feedback shift register (σ-LFSR) which can make full use of the in- structions of modern CPUs so that we can find good σ-LFSR with simple structure and fast software implementation. After analysis, we find a class of simple σ-LFSR with maximal period and give an algorithm of searching for those σ-LFSRs. As a result, we provide a new optional fast component in the design of modern word-based stream ciphers.

Key concepts: Linear feedback shift register, Trinomial, Shift register, Computer science, Stream cipher, Arithmetic, Software, Simple (philosophy)

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