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arxiv: 1507.05732 · v1 · pith:PMMFXKEVnew · submitted 2015-07-21 · 💻 cs.IT · math.IT

Complete Weight Enumerator of a Family of Linear Codes from Cyclotomy

classification 💻 cs.IT math.IT
keywords codeslinearcompletecyclotomyfamilyweightapplicationsbeen
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Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for a prime $p$, we determine the explicit complete weight enumerators of a family of linear codes over $\mathbb{F}_p$ with defining set related to cyclotomy. These codes may have applications in cryptography and secret sharing schemes.

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