Cayley sum graphs and their applications to codebooks

Shohei Satake, Yujie Gu

研究成果: ジャーナルへの寄稿学術誌査読


In this paper we first provide two new constructions for Cayley sum graphs, namely, norm-coset graphs and trace-coset graphs, and determine their second largest eigenvalues using Gaussian sums. Next, a connection between Cayley sum graphs and complex codebooks is established. Based on this, infinite families of asymptotically optimal complex codebooks are explicitly constructed. The derived Cayley sum graphs and codebooks either include some known constructions as special cases or provide flexible new parameters.

ジャーナルDesigns, Codes, and Cryptography
出版ステータス印刷中 - 2022

!!!All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンスの応用
  • 離散数学と組合せ数学
  • 応用数学


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