Homomorphic Secret Sharing for Multipartite and General Adversary Structures Supporting Parallel Evaluation of Low-Degree Polynomials

2021 ◽  
pp. 191-221
Author(s):  
Reo Eriguchi ◽  
Koji Nuida
Keyword(s):  
Secret Sharing ◽  
Low Degree ◽  
Parallel Evaluation ◽  
Low Degree Polynomials

The actual complexity of parallel evaluation of low degree polynomials

1990 ◽  
Vol 13 (1) ◽  
pp. 73-83 ◽  
Author(s):  
Ronald J Leach ◽  
O.Michael Atogi ◽  
Razeyah R Stephen
Keyword(s):  
Low Degree ◽  
Parallel Evaluation ◽  
Low Degree Polynomials

Constructive t-secure Homomorphic Secret Sharing for Low Degree Polynomials

2020 ◽  
pp. 763-785
Author(s):  
Kittiphop Phalakarn ◽  
Vorapong Suppakitpaisarn ◽  
Nuttapong Attrapadung ◽  
Kanta Matsuura
Keyword(s):  
Secret Sharing ◽  
Low Degree ◽  
Low Degree Polynomials

scholarly journals Irreducible skew polynomials over domains

2021 ◽  
Vol 29 (3) ◽  
pp. 75-89
Author(s):  
C. Brown ◽  
S. Pumplün
Keyword(s):  
Polynomial Ring ◽  
Skew Polynomial Ring ◽  
Weyl Algebras ◽  
Skew Polynomials ◽  
Low Degree ◽  
Skew Polynomial ◽  
Low Degree Polynomials ◽  
Injective Endomorphism

Abstract Let S be a domain and R = S[t; σ, δ] a skew polynomial ring, where σ is an injective endomorphism of S and δ a left σ -derivation. We give criteria for skew polynomials f ∈ R of degree less or equal to four to be irreducible. We apply them to low degree polynomials in quantized Weyl algebras and the quantum planes. We also consider f(t) = tm − a ∈ R.

Sign in / Sign up

Export Citation Format

Share Document