Scholarlink

<p>Many authors have generalized Boolean functions with values over finite fields to functions valued over <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {Z}_{p^k}\)</EquationSource> </InlineEquation>. In this work, we generalize their main properties to functions with values in Galois rings. We mainly study relations between generalized bent functions and their classical component functions. A connection with affine spaces of classical bent functions is established.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Generalized Boolean functions over Galois rings

  • 期刊论文

  • 发表日期：

    2025年10月13日

查看全文
  • Minjia Shi,
  • Maolin Sun,
  • Ferruh Özbudak,
  • Patrick Solé

摘要

Many authors have generalized Boolean functions with values over finite fields to functions valued over \(\mathbb {Z}_{p^k}\) . In this work, we generalize their main properties to functions with values in Galois rings. We mainly study relations between generalized bent functions and their classical component functions. A connection with affine spaces of classical bent functions is established.