Functional encryption for cubic polynomials and implementation

2021 ◽  
Author(s):  
Zheng Zhang ◽  
Fangguo Zhang
Keyword(s):  
Functional Encryption ◽  
Cubic Polynomials

Simple and Generic Constructions of Succinct Functional Encryption

2021 ◽  
Vol 34 (3) ◽  
Author(s):  
Fuyuki Kitagawa ◽  
Ryo Nishimaki ◽  
Keisuke Tanaka
Keyword(s):  
Functional Encryption

scholarly journals O31 Trajectories of anxiety in children young people and adults with rheumatic diseases in the wake of COVID-19: results from the COVID-19 European patient registry

Rheumatology ◽  
2021 ◽  
Vol 60 (Supplement_1) ◽  
Author(s):  
Stephanie J W Shoop-Worrall ◽  
Suzanne M M Verstappen ◽  
Wendy Costello ◽  
Saskya P Angevare ◽  
Yosef Uziel ◽  
...  
Keyword(s):  
Young People ◽  
Rheumatic Diseases ◽  
Model Fit ◽  
Patient Registry ◽  
Linear Quadratic ◽  
High Anxiety ◽  
Children And Young People ◽  
Chi Squared ◽  
The Uk ◽  
Cubic Polynomials

Abstract Background/Aims  Younger and older people with rheumatic diseases may experience increased anxiety during the COVID-19 pandemic, due to the uncertainty regarding their likelihood of contracting the virus, its complications alongside their existing condition and whether their immunosuppressive treatments pose additional risks. This study explored trajectories of anxiety in parents of children and young people (CYP) with rheumatic diseases and adults with rheumatic diseases in the six months following March 2020 during the COVID-19 pandemic. Methods  CYP and adults recruited to the international COVID-19 European Patient Registry, a parent-led, online, self-referred prospective cohort recruiting participants globally, were selected if enrolled within 20th March to 17th April 2020. Anxiety scores (0-10, 10=Highest anxiety) were collected weekly for up to 28 weeks and denoted parent anxiety in the CYP cohort and self-reported anxiety in the adult cohort. Group-based trajectory models explored anxiety clusters using censored-normal models in the CYP and adult populations, separately. Linear, quadratic and cubic polynomials were tested within 1 to 10 clusters and optimal models selected based on a combination of model fit (BIC), parsimony and clinical plausibility. Demographic (country, age, gender) and clinical (diagnosis, disease control, respiratory comorbidity, immunosuppressive therapy) information and COVID-19 mitigation behaviours (isolation, distancing, none) were collected at initial enrolment and compared between clusters using Chi-squared, Fisher’s exact and Kruskal-Wallis tests. Results  Among 498 CYP and 2640 adults, most were female (65%, 89%) and from the UK (50%, 84%), respectively. The most common diagnoses were polyarticular JIA (37%) and oligoarticular JIA (29%) among CYP and RA among the adults (63%). Respiratory comorbidities were uncommon in the CYP (10%) and adult (17%) cohorts, and most were taking any immunosuppressive therapies (85%, 87%), respectively. As of March 2020, 88% and 79% were self-isolating, respectively. In both the parents of CYP and adult cohorts, four trajectory clusters were identified with similar patterns: Persistent extremely high anxiety (32%, 17%), persistent high anxiety (43%, 41%), high anxiety that marginally improved (25%, 32%) and moderate anxiety that improved (11%, 10%). Among CYP, few characteristics distinguished the clusters. However, in the adult cohort, clusters with greater and more persistent anxiety were associated with higher levels of respiratory comorbidities, higher use of immunosuppressive therapies, higher initial levels of self-isolation and slightly older age than those with lower or improving anxiety over time. Conclusion  This study reports four trajectories of anxiety during the COVID-19 pandemic that are consistent across parents of CYP with rheumatic diseases and among adults with these conditions. Despite relatively lower risks for CYP, parental anxiety regarding COVID-19 was high and not associated with characteristics of their child or of their child's disease. Among adults with rheumatic diseases, greater anxiety was associated with risk factors potentially associated with COVID-19 morbidity and mortality. Disclosure  S.J.W. Shoop-Worrall: None. S.M.M. Verstappen: None. W. Costello: None. S.P. Angevare: None. Y. Uziel: None. C. Wouters: None. N. Wulffraat: Honoraria; Sobi. Grants/research support; Abbvie. R. Beesley: None.

Functional encryption for computational hiding in prime order groups via pair encodings

2017 ◽  
Vol 86 (1) ◽  
pp. 97-120 ◽  
Author(s):  
Jongkil Kim ◽  
Willy Susilo ◽  
Fuchun Guo ◽  
Man Ho Au
Keyword(s):  
Prime Order ◽  
Functional Encryption

scholarly journals Functional encryption for cascade automata

2017 ◽  
Vol 255 ◽  
pp. 384-407
Author(s):  
Dan Brownstein ◽  
Shlomi Dolev ◽  
Niv Gilboa
Keyword(s):  
Functional Encryption

Tightly CCA-Secure Inner Product Functional Encryption Scheme

2021 ◽  
Author(s):  
Xiangyu Liu ◽  
Shengli Liu ◽  
Shuai Han ◽  
Dawu Gu
Keyword(s):  
Inner Product ◽  
Encryption Scheme ◽  
Functional Encryption

scholarly journals An Invariant Regarding Waring’s Problem for Cubic Polynomials

2009 ◽  
Vol 193 ◽  
pp. 95-110 ◽  
Author(s):  
Giorgio Ottaviani
Keyword(s):  
Secant Variety ◽  
Waring’S Problem ◽  
Waring Problem ◽  
Veronese Variety ◽  
Waring's Problem ◽  
Cubic Polynomial ◽  
Cubic Polynomials

AbstractWe compute the equation of the 7-secant variety to the Veronese variety (P4,O(3)), its degree is 15. This is the last missing invariant in the Alexander-Hirschowitz classification. It gives the condition to express a homogeneous cubic polynomial in 5 variables as the sum of 7 cubes (Waring problem). The interesting side in the construction is that it comes from the determinant of a matrix of order 45 with linear entries, which is a cube. The same technique allows to express the classical Aronhold invariant of plane cubics as a pfaffian.

Multi-input Inner-Product Functional Encryption from Pairings

2017 ◽  
pp. 601-626 ◽  
Author(s):  
Michel Abdalla ◽  
Romain Gay ◽  
Mariana Raykova ◽  
Hoeteck Wee
Keyword(s):  
Inner Product ◽  
Functional Encryption
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