发布求助
文献互助 智能选刊 最新文献

Discrete Mathematics and Applications最新文献

筛选
英文 中文
Decomposition of polynomials using the shift-composition operation 多项式的移位合成分解
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-03-01 DOI: 10.1515/dma-2023-0009
V. Nozdrunov
{"title":"Decomposition of polynomials using the shift-composition operation","authors":"V. Nozdrunov","doi":"10.1515/dma-2023-0009","DOIUrl":"https://doi.org/10.1515/dma-2023-0009","url":null,"abstract":"Abstract V. I. Solodovnikov had employed the shift-composition operation to investigate homomorphisms of shift registers into linear automata; in his papers, conditions for the absence of nontrivial inner homomorphisms of shift registers were derived. An essential role was played by the condition of linearity of the left component of the shift-composition operation in the corresponding polynomial decomposition. In this paper we consider the case where the left component is a function belonging to a wider class, which includes the class of linear functions.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"87 - 97"},"PeriodicalIF":0.5,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44534856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Explicit basis for admissible rules in K-saturated tabular logics K饱和表逻辑中可容许规则的显式基
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-03-01 DOI: 10.1515/dma-2023-0011
V. V. Rimatskiĭ
{"title":"Explicit basis for admissible rules in K-saturated tabular logics","authors":"V. V. Rimatskiĭ","doi":"10.1515/dma-2023-0011","DOIUrl":"https://doi.org/10.1515/dma-2023-0011","url":null,"abstract":"Abstract We construct an explicit finite basis for admissible rules in K-saturated tabular logics that extend the logic Grz.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"105 - 115"},"PeriodicalIF":0.5,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48169772","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the existence of special nonlinear invariants for round functions of XSL-ciphers XSL密码的圆函数的特殊非线性不变量的存在性
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-03-01 DOI: 10.1515/dma-2023-0007
D. Burov
{"title":"On the existence of special nonlinear invariants for round functions of XSL-ciphers","authors":"D. Burov","doi":"10.1515/dma-2023-0007","DOIUrl":"https://doi.org/10.1515/dma-2023-0007","url":null,"abstract":"Abstract Nonlinear invariants of round transformations in XSL-schemes are studied. The emphasis is on invariants which may be found by means of the approach suggested at the conference ASIACRYPT 2016. Some known results on the inertia groups of decomposable functions are used to describe conditions on S-boxes and matrices of XSL-schemes which are necessary for the existence of such invariants. It is shown that for a number of schemes these conditions are not satisfied.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"65 - 75"},"PeriodicalIF":0.5,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42661238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Frontmatter 头版头条
Discrete Mathematics and Applications Pub Date : 2023-03-01 DOI: 10.1515/dma-2023-frontmatter2
{"title":"Frontmatter","authors":"","doi":"10.1515/dma-2023-frontmatter2","DOIUrl":"https://doi.org/10.1515/dma-2023-frontmatter2","url":null,"abstract":"","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134949962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic local probabilities of large deviations for branching process in random environment with geometric distribution of descendants 子体几何分布随机环境中分支过程大偏差的渐近局部概率
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-03-01 DOI: 10.1515/dma-2023-0008
Konstantin Yu. Denisov
{"title":"Asymptotic local probabilities of large deviations for branching process in random environment with geometric distribution of descendants","authors":"Konstantin Yu. Denisov","doi":"10.1515/dma-2023-0008","DOIUrl":"https://doi.org/10.1515/dma-2023-0008","url":null,"abstract":"Abstract We consider the branching process Zn=Xn,1+⋯+XnZn−1 $ Z_{n} =X_{n, 1} + dotsb +X_{nZ_{n-1}} $, in random environmentsη, where η is a sequence of independent identically distributedvariables, for fixed η the random variables Xi, j areindependent, have the geometric distribution. We suppose that the associated random walk Sn=ξ1+⋯+ξn $ S_n = xi_1 + dotsb + xi_n $ has positive meanμ,0 < h<h+satisfies the right-hand Cramer’s condition Eexp(hξi) < ∞ for, some h+. Under theseassumptions, we find the asymptotic representation for local probabilities P(Zn=⌊exp(θ n)⌋) for θ ∈ [θ1, θ2]⊂</given−names><x> </x><surname>(μ;μ+) and someμ+.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"77 - 86"},"PeriodicalIF":0.5,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45029747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some classes of easily testable circuits in the Zhegalkin basis 在Zhegalkin基中一些容易测试的电路
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-02-01 DOI: 10.1515/dma-2023-0001
Y. Borodina
{"title":"Some classes of easily testable circuits in the Zhegalkin basis","authors":"Y. Borodina","doi":"10.1515/dma-2023-0001","DOIUrl":"https://doi.org/10.1515/dma-2023-0001","url":null,"abstract":"Abstract We identify the classes of Boolean functions that may be implemented by easily testable circuits in the Zhegalkin basis for constant type-1 faults on outputs of gates. An upper estimate for the length of a complete fault detection test for three-place functions is obtained.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"1 - 6"},"PeriodicalIF":0.5,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41420779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Frontmatter 头版头条
Discrete Mathematics and Applications Pub Date : 2023-02-01 DOI: 10.1515/dma-2023-frontmatter1
{"title":"Frontmatter","authors":"","doi":"10.1515/dma-2023-frontmatter1","DOIUrl":"https://doi.org/10.1515/dma-2023-frontmatter1","url":null,"abstract":"","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134941007","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The limit joint distributions of statistics of four tests of the NIST package NIST软件包四项测试统计的极限联合分布
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-02-01 DOI: 10.1515/dma-2023-0006
Maksim P. Savelov
{"title":"The limit joint distributions of statistics of four tests of the NIST package","authors":"Maksim P. Savelov","doi":"10.1515/dma-2023-0006","DOIUrl":"https://doi.org/10.1515/dma-2023-0006","url":null,"abstract":"Abstract For sequences of independent random variables having a Bernoulli distribution with parameter p the limit joint distribution of statistics of four tests of the NIST statistical package (« Monobit Test », « Frequency Test within a Block », « Runs Test » and a generalization of « Non-overlapping Template Matching Test ») is obtained. Conditions of asymptotic uncorrelatedness and/or asymptotic independence of these statistics are given.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"55 - 64"},"PeriodicalIF":0.5,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44800901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Local limit theorem for the number of empty cells in a scheme of random equiprobable allocations 随机等概率分配方案中空单元数的局部极限定理
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-02-01 DOI: 10.1515/dma-2023-0004
O. P. Orlov
{"title":"Local limit theorem for the number of empty cells in a scheme of random equiprobable allocations","authors":"O. P. Orlov","doi":"10.1515/dma-2023-0004","DOIUrl":"https://doi.org/10.1515/dma-2023-0004","url":null,"abstract":"Abstract A classical scheme of random equiprobable allocations of n particles into N cells is considered. We find an asymptotic formula for the probability that the number of empty cells is equal to k under the condition that n, N → ∞ in such a way that n/(N − k) is bounded and separated from 1 from below.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"31 - 39"},"PeriodicalIF":0.5,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42357219","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the concentration of the independence numbers of random hypergraphs 关于随机超图独立数的集中
IF 0.5
Discrete Mathematics and Applications Pub Date : 2023-02-01 DOI: 10.1515/dma-2023-0002
I. O. Denisov, D. A. Shabanov
{"title":"On the concentration of the independence numbers of random hypergraphs","authors":"I. O. Denisov, D. A. Shabanov","doi":"10.1515/dma-2023-0002","DOIUrl":"https://doi.org/10.1515/dma-2023-0002","url":null,"abstract":"Abstract The asymptotic behavior of general independence numbers of random hypergraphs for the binomial model is studied. We prove that for some types of parameter variations the distribution of independence numbers is concentrated on two neighboring values.","PeriodicalId":11287,"journal":{"name":"Discrete Mathematics and Applications","volume":"33 1","pages":"7 - 18"},"PeriodicalIF":0.5,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43077547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信