Problem
Research questions and friction points this paper is trying to address.
linear complexity
error linear complexity
multi-sequences
stream ciphers
function fields
Multi-sequences with large linear and error linear complexity from function fields
🤖 AI Summary
本文通过函数域构建多序列，解决了流密码中安全性的度量问题，使得构造的多序列具有较大的线性和误差线性复杂度。
📝 Abstract
The linear complexity and the error linear complexity of multi-sequences are measures for security in stream ciphers. In this manuscript, we present a general framework for constructing periodic multi-sequences via function fields. We prove that the constructed multi-sequences possess both large linear complexity and large error linear complexity. We apply this framework of constructing multi-sequences to various maximal function fields and we obtain many new multi-sequences with various lengths and dimensions. As a byproduct, we adopt this idea and produce many new quasi-cyclic algebraic geometric codes as well.
Innovation
Methods, ideas, or system contributions that make the work stand out.
function fields
multi-sequences
linear complexity
error linear complexity
algebraic geometric codes
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