Systematic Authentication Codes Based on a Class of Bent Functions and the Gray Map on a Galois Ring

2013 ◽  
Vol 27 (2) ◽  
pp. 1159-1170 ◽  
Author(s):  
J. C. Ku-Cauich ◽  
H. Tapia-Recillas
Keyword(s):  
Galois Ring ◽  
Gray Map ◽  
Bent Functions ◽  
Authentication Codes

scholarly journals An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities

2018 ◽  
Author(s):  
Juan Carlos Ku-Cauich ◽  
Guillermo Morales-Luna ◽  
Horacio Tapia-Recillas
Keyword(s):  
Special Class ◽  
Galois Ring ◽  
Gray Map ◽  
Galois Rings ◽  
Authentication Codes ◽  
Authentication Code

Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities. The second code improves space sizes but it does not attain optimal probabilities. Besides it is conditioned to the existence of a special class of bent maps on Galois rings.

scholarly journals An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities

2018 ◽  
Vol 23 (3) ◽  
pp. 46
Author(s):  
Juan Ku-Cauich ◽  
Guillermo Morales-Luna ◽  
Horacio Tapia-Recillas
Keyword(s):  
Special Class ◽  
Galois Ring ◽  
Gray Map ◽  
Galois Rings ◽  
Authentication Codes ◽  
Authentication Code

Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities. The second code improves space sizes, but it does not attain optimal probabilities. Additionally, it is conditioned to the existence of a special class of bent maps on Galois rings.

scholarly journals Bent functions on a Galois ring and systematic authentication codes

2012 ◽  
Vol 6 (2) ◽  
pp. 249-258 ◽  
Author(s):  
Claude Carlet ◽  
◽  
Juan Carlos Ku-Cauich ◽  
Horacio Tapia-Recillas ◽  
Keyword(s):  
Galois Ring ◽  
Bent Functions ◽  
Authentication Codes

Data Integrity

2017 ◽  
Author(s):  
Keith M. Martin
Keyword(s):  
Hash Function ◽  
Hash Functions ◽  
Data Integrity ◽  
Message Authentication ◽  
Authenticated Encryption ◽  
Authentication Codes ◽  
Basic Model ◽  
Function Design ◽  
Security Properties ◽  
Different Levels

This chapter discusses cryptographic mechanisms for providing data integrity. We begin by identifying different levels of data integrity that can be provided. We then look in detail at hash functions, explaining the different security properties that they have, as well as presenting several different applications of a hash function. We then look at hash function design and illustrate this by discussing the hash function SHA-3. Next, we discuss message authentication codes (MACs), presenting a basic model and discussing basic properties. We compare two different MAC constructions, CBC-MAC and HMAC. Finally, we consider different ways of using MACs together with encryption. We focus on authenticated encryption modes, and illustrate these by describing Galois Counter mode.

Further study on constructing bent functions outside the completed Maiorana–McFarland class

2020 ◽  
Vol 14 (6) ◽  
pp. 654-660
Author(s):  
Shishi Liu ◽  
Fengrong Zhang ◽  
Enes Pasalic ◽  
Shixiong Xia ◽  
Zepeng Zhuo
Keyword(s):  
Bent Functions
Sign in / Sign up

Export Citation Format

Share Document