Matches in SemOpenAlex for { <https://semopenalex.org/work/W4387016538> ?p ?o ?g. }
Showing items 1 to 88 of
88
with 100 items per page.
- W4387016538 endingPage "23" @default.
- W4387016538 startingPage "3" @default.
- W4387016538 abstract "In this article we study the Algebraic Immunity (AI) of Weightwise Perfectly Balanced (WPB) functions. After showing a lower bound on the AI of two classes of WPB functions from the previous literature, we prove that the minimal AI of a WPB n-variables function is constant, equal to 2 for $$nge 4$$ . Then, we compute the distribution of the AI of WPB function in 4 variables, and estimate the one in 8 and 16 variables. For these values of n we observe that a large majority of WPB functions have optimal AI, and that we could not obtain a WPB function with AI 2 by sampling at random. Finally, we address the problem of constructing WPB functions with bounded algebraic immunity, exploiting a construction from [12]. In particular, we present a method to generate multiple WPB functions with minimal AI, and we prove that the WPB functions with high nonlinearity exhibited in [12] also have minimal AI. We conclude with a construction giving WPB functions with lower bounded AI, and give as example a family with all elements with AI at least $$n/2-log (n)+1$$ ." @default.
- W4387016538 created "2023-09-26" @default.
- W4387016538 creator A5011712559 @default.
- W4387016538 creator A5026338976 @default.
- W4387016538 date "2023-01-01" @default.
- W4387016538 modified "2023-09-26" @default.
- W4387016538 title "On the Algebraic Immunity of Weightwise Perfectly Balanced Functions" @default.
- W4387016538 cites W1772067890 @default.
- W4387016538 cites W1821279578 @default.
- W4387016538 cites W1918243660 @default.
- W4387016538 cites W2024900297 @default.
- W4387016538 cites W2069465266 @default.
- W4387016538 cites W2090432705 @default.
- W4387016538 cites W2093821665 @default.
- W4387016538 cites W2096101536 @default.
- W4387016538 cites W2139805591 @default.
- W4387016538 cites W2469100438 @default.
- W4387016538 cites W2898600488 @default.
- W4387016538 cites W2947367047 @default.
- W4387016538 cites W2963732009 @default.
- W4387016538 cites W3004165904 @default.
- W4387016538 cites W3038043160 @default.
- W4387016538 cites W3149318513 @default.
- W4387016538 cites W3171993591 @default.
- W4387016538 cites W3174915105 @default.
- W4387016538 cites W3177417274 @default.
- W4387016538 cites W3213285982 @default.
- W4387016538 cites W4205136486 @default.
- W4387016538 cites W4220990400 @default.
- W4387016538 cites W4236140721 @default.
- W4387016538 cites W4236509984 @default.
- W4387016538 cites W4240560709 @default.
- W4387016538 cites W4255381695 @default.
- W4387016538 cites W4289524100 @default.
- W4387016538 cites W4294812064 @default.
- W4387016538 cites W4297895270 @default.
- W4387016538 cites W4312888846 @default.
- W4387016538 cites W4313347264 @default.
- W4387016538 cites W4322742978 @default.
- W4387016538 cites W4377082044 @default.
- W4387016538 cites W4377981157 @default.
- W4387016538 doi "https://doi.org/10.1007/978-3-031-44469-2_1" @default.
- W4387016538 hasPublicationYear "2023" @default.
- W4387016538 type Work @default.
- W4387016538 citedByCount "0" @default.
- W4387016538 crossrefType "book-chapter" @default.
- W4387016538 hasAuthorship W4387016538A5011712559 @default.
- W4387016538 hasAuthorship W4387016538A5026338976 @default.
- W4387016538 hasConcept C118615104 @default.
- W4387016538 hasConcept C134306372 @default.
- W4387016538 hasConcept C14036430 @default.
- W4387016538 hasConcept C199360897 @default.
- W4387016538 hasConcept C2777027219 @default.
- W4387016538 hasConcept C33923547 @default.
- W4387016538 hasConcept C34388435 @default.
- W4387016538 hasConcept C41008148 @default.
- W4387016538 hasConcept C78458016 @default.
- W4387016538 hasConcept C86803240 @default.
- W4387016538 hasConcept C9376300 @default.
- W4387016538 hasConceptScore W4387016538C118615104 @default.
- W4387016538 hasConceptScore W4387016538C134306372 @default.
- W4387016538 hasConceptScore W4387016538C14036430 @default.
- W4387016538 hasConceptScore W4387016538C199360897 @default.
- W4387016538 hasConceptScore W4387016538C2777027219 @default.
- W4387016538 hasConceptScore W4387016538C33923547 @default.
- W4387016538 hasConceptScore W4387016538C34388435 @default.
- W4387016538 hasConceptScore W4387016538C41008148 @default.
- W4387016538 hasConceptScore W4387016538C78458016 @default.
- W4387016538 hasConceptScore W4387016538C86803240 @default.
- W4387016538 hasConceptScore W4387016538C9376300 @default.
- W4387016538 hasLocation W43870165381 @default.
- W4387016538 hasOpenAccess W4387016538 @default.
- W4387016538 hasPrimaryLocation W43870165381 @default.
- W4387016538 hasRelatedWork W1978402756 @default.
- W4387016538 hasRelatedWork W2018828049 @default.
- W4387016538 hasRelatedWork W2042726902 @default.
- W4387016538 hasRelatedWork W2046712581 @default.
- W4387016538 hasRelatedWork W2136053165 @default.
- W4387016538 hasRelatedWork W2370340664 @default.
- W4387016538 hasRelatedWork W2760970427 @default.
- W4387016538 hasRelatedWork W3102909640 @default.
- W4387016538 hasRelatedWork W4280553502 @default.
- W4387016538 hasRelatedWork W4313227173 @default.
- W4387016538 isParatext "false" @default.
- W4387016538 isRetracted "false" @default.
- W4387016538 workType "book-chapter" @default.