Lijing Zheng , Haibin Kan , Jie Peng , Yanjun Li , Yanbin Zheng
{"title":"一类新的广义几乎完全非线性单项函数","authors":"Lijing Zheng , Haibin Kan , Jie Peng , Yanjun Li , Yanbin Zheng","doi":"10.1016/j.ipl.2023.106445","DOIUrl":null,"url":null,"abstract":"<div><p>In this short note, we present a new class of GAPN power functions of the type <span><math><msup><mrow><mi>x</mi></mrow><mrow><msub><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msub><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn><mi>i</mi></mrow></msup><mo>+</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>1</mn></mrow></msub><msup><mrow><mi>p</mi></mrow><mrow><mi>i</mi></mrow></msup><mo>+</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></msup></math></span> over finite fields <span><math><msub><mrow><mi>F</mi></mrow><mrow><msup><mrow><mi>p</mi></mrow><mrow><mi>n</mi></mrow></msup></mrow></msub></math></span> with <em>p</em> odd and <span><math><mrow><mi>gcd</mi></mrow><mo>(</mo><mi>n</mi><mo>,</mo><mi>i</mi><mo>)</mo><mo>=</mo><mn>1</mn></math></span> (up to EA-equivalence).</p></div>","PeriodicalId":56290,"journal":{"name":"Information Processing Letters","volume":"184 ","pages":"Article 106445"},"PeriodicalIF":0.7000,"publicationDate":"2023-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new class of generalized almost perfect nonlinear monomial functions\",\"authors\":\"Lijing Zheng , Haibin Kan , Jie Peng , Yanjun Li , Yanbin Zheng\",\"doi\":\"10.1016/j.ipl.2023.106445\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this short note, we present a new class of GAPN power functions of the type <span><math><msup><mrow><mi>x</mi></mrow><mrow><msub><mrow><mi>k</mi></mrow><mrow><mn>2</mn></mrow></msub><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn><mi>i</mi></mrow></msup><mo>+</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>1</mn></mrow></msub><msup><mrow><mi>p</mi></mrow><mrow><mi>i</mi></mrow></msup><mo>+</mo><msub><mrow><mi>k</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></msup></math></span> over finite fields <span><math><msub><mrow><mi>F</mi></mrow><mrow><msup><mrow><mi>p</mi></mrow><mrow><mi>n</mi></mrow></msup></mrow></msub></math></span> with <em>p</em> odd and <span><math><mrow><mi>gcd</mi></mrow><mo>(</mo><mi>n</mi><mo>,</mo><mi>i</mi><mo>)</mo><mo>=</mo><mn>1</mn></math></span> (up to EA-equivalence).</p></div>\",\"PeriodicalId\":56290,\"journal\":{\"name\":\"Information Processing Letters\",\"volume\":\"184 \",\"pages\":\"Article 106445\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-09-15\",\"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/S0020019023000881\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Information Processing Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020019023000881","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
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.