ITCRJan 17, 2019

Two classes of linear codes with a few weights based on twisted Kloosterman sums

arXiv:1901.05662v1
Originality Synthesis-oriented
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This work provides new linear codes for applications in information security and communication, but it is incremental as it builds on existing methods with a specific mathematical twist.

The paper constructed two classes of linear codes with a few weights using twisted Kloosterman sums and determined their complete weight enumerators, addressing a key problem in coding theory for applications like information security and communication systems.

Linear codes with a few weights have wide applications in information security, data storage systems, consuming electronics and communication systems. Construction of the linear codes with a few weights and determination of their parameters are an important research topic in coding theory. In this paper, we construct two classes of linear codes with a few weights and determine their complete weight enumerators based on twisted Kloosterman sums.

Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

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