Parameterization of Perfect Sequences over a Composition Algebra

• MAEDA Takao

  School of Computer Science and Engineering, University of Aizu

• HAYASHI Takafumi

  School of Computer Science and Engineering, University of Aizu

抄録

A parameterization of perfect sequences over composition algebras over the real number field is presented. According to the proposed parameterization theorem, a perfect sequence can be represented as a sum of trigonometric functions and points on a unit sphere of the algebra. Because of the non-commutativity of the multiplication, there are two definitions of perfect sequences, but the equivalence of the definitions is easily shown using the theorem. A composition sequence of sequences is introduced. Despite the non-associativity, the proposed theorem reveals that the composition sequence from perfect sequences is perfect.

収録刊行物

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E95.A (12), 2139-2147, 2012

  一般社団法人 電子情報通信学会

キーワード

• parameterization
• perfect sequence
• autocorrelation
• composition algebra
• quaternion
• octonion

詳細情報

• CRID: 1390282681288919168
• NII論文ID: 10031161345
• NII書誌ID: AA10826239
• DOI: 10.1587/transfun.e95.a.2139
• ISSN: 17451337
• ISSN: 09168508
• Web Site: https://www.jstage.jst.go.jp/article/transfun/E95.A/12/E95.A_2139/_pdf
• 本文言語コード: en
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