{"title":"A class of cubic polynomial semi-bent functions over F2n","authors":"Yan-Ping Wang , Zhengbang Zha , Weiguo Zhang , Dengguo Feng","doi":"10.1016/j.ipl.2026.106625","DOIUrl":null,"url":null,"abstract":"<div><div>Semi-bent functions play an important role in coding theory, symmetric ciphers, and sequence designs. In this paper, by decomposing cubic Boolean functions and describing the two-to-one property of polynomials, we characterize a class of cubic polynomial semi-bent functions over <span><math><msub><mi>F</mi><msup><mn>2</mn><mi>n</mi></msup></msub></math></span>.</div></div>","PeriodicalId":56290,"journal":{"name":"Information Processing Letters","volume":"193 ","pages":"Article 106625"},"PeriodicalIF":0.6000,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Information Processing Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020019026000062","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/2/12 0:00:00","PubModel":"Epub","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Semi-bent functions play an important role in coding theory, symmetric ciphers, and sequence designs. In this paper, by decomposing cubic Boolean functions and describing the two-to-one property of polynomials, we characterize a class of cubic polynomial semi-bent functions over .
期刊介绍:
Information Processing Letters invites submission of original research articles that focus on fundamental aspects of information processing and computing. This naturally includes work in the broadly understood field of theoretical computer science; although papers in all areas of scientific inquiry will be given consideration, provided that they describe research contributions credibly motivated by applications to computing and involve rigorous methodology. High quality experimental papers that address topics of sufficiently broad interest may also be considered.
Since its inception in 1971, Information Processing Letters has served as a forum for timely dissemination of short, concise and focused research contributions. Continuing with this tradition, and to expedite the reviewing process, manuscripts are generally limited in length to nine pages when they appear in print.