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- W2788490536 abstract "We define a metric on $mathbb{F}_q^n$ using the linear complexity of finite sequences. We will then develop a coding theory for this metric. We will give a Singleton-like bound and we will give constructions of subspaces of $mathbb{F}_q^n$ achieving this bound. We will compute the size of balls with respect to this metric. In other words we will count how many finite sequences have linear complexity bounded by some integer $r$. The paper is motivated in part by the desire to design new code based cryptographic systems." @default.
- W2788490536 created "2018-03-06" @default.
- W2788490536 creator A5078286014 @default.
- W2788490536 date "2018-02-27" @default.
- W2788490536 modified "2023-09-27" @default.
- W2788490536 title "Coding Theory using Linear Complexity of Finite Sequences." @default.
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- W2788490536 hasPublicationYear "2018" @default.
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