scholarly journals Tripotent elements in quaternion rings over ℤp

2021 ◽  
Vol 13 (1) ◽  
pp. 78-87
Author(s):  
Michael Aristidou ◽  
Kidus Hailemariam
Keyword(s):  
Finite Ring ◽  
Quaternion Rings

Abstract In this paper, we discuss tripotent1 elements in the finite ring ℍ/ℤp. We provide examples and establish conditions for tripotency. We follow similar methods used in [3] for idempotent elements in ℍ/ℤp.

On the Structure of Quaternion Rings Over $${\mathbb{Z}/n\mathbb{Z}}$$ Z / n Z

2015 ◽  
Vol 25 (4) ◽  
pp. 875-887 ◽  
Author(s):  
José María Grau ◽  
Celino Miguel ◽  
Antonio M. Oller-Marcén
Keyword(s):  
Quaternion Rings

scholarly journals The predictable degree property and row reducedness for systems over a finite ring

2007 ◽  
Vol 425 (2-3) ◽  
pp. 776-796 ◽  
Author(s):  
Margreta Kuijper ◽  
Raquel Pinto ◽  
Jan Willem Polderman
Keyword(s):  
Finite Ring

scholarly journals Extension theorems for various weight functions over Frobenius bimodules

2018 ◽  
Vol 17 (03) ◽  
pp. 1850052 ◽  
Author(s):  
Heide Gluesing-Luerssen ◽  
Tefjol Pllaha
Keyword(s):  
Duality Theory ◽  
Extension Property ◽  
Finite Ring ◽  
Weight Functions ◽  
Hamming Weight ◽  
Theoretic Approach ◽  
Extension Theorems ◽  
Homogeneous Weight

In this paper, we study codes where the alphabet is a finite Frobenius bimodule over a finite ring. We discuss the extension property for various weight functions. Employing an entirely character-theoretic approach and a duality theory for partitions on Frobenius bimodules, we derive alternative proofs for the facts that the Hamming weight and the homogeneous weight satisfy the extension property. We also use the same techniques to derive the extension property for other weights, such as the Rosenbloom–Tsfasman weight.

Về một giải pháp nâng cao độ an toàn cho lược đồ chữ ký số trong vành hữu hạn Zn

2020 ◽  
Vol 8 (2) ◽  
pp. 1-9
Author(s):  
Nguyễn Đào Trường ◽  
Lê Văn Tuấn
Keyword(s):  
Digital Signature ◽  
Discrete Logarithm ◽  
Finite Ring ◽  
Signature Scheme ◽  
Mandatory Requirement ◽  
Digital Signature Scheme

Tóm tắt— Chữ ký số ngày càng được sử dụng rộng rãi và là yêu cầu bắt buộc đối với rất nhiều nền tảng an toàn. Bài báo đề xuất một giải pháp nâng cao độ an toàn cho lược đồ chữ ký số dựa trên bài toán logarit rời rạc trên vành hữu hạn Zn.Abstract— The digital signature is increasingly widely used, and it is the mandatory requirement for many security platforms. The paper proposes a solution to improve the security of digital signature scheme based on the problem of discrete logarithm on finite ring Zn.

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