Algorithm and architecture for a Galois field multiplicative arithmetic processor

2003 ◽  
Vol 49 (12) ◽  
pp. 3303-3307 ◽  
Author(s):  
E.M. Popovici ◽  
P. Fitzpatrick
Keyword(s):  
Galois Field ◽  
Arithmetic Processor ◽  
Multiplicative Arithmetic

scholarly journals Modular invariant models of leptons at level 7

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Gui-Jun Ding ◽  
Stephen F. King ◽  
Cai-Chang Li ◽  
Ye-Ling Zhou
Keyword(s):  
Modular Forms ◽  
Galois Field ◽  
Special Linear Group ◽  
Type I ◽  
Time Level ◽  
Projective Special Linear Group ◽  
Modular Invariant ◽  
Seesaw Mechanism ◽  
Linearly Independent ◽  
First Time

Abstract We consider for the first time level 7 modular invariant flavour models where the lepton mixing originates from the breaking of modular symmetry and couplings responsible for lepton masses are modular forms. The latter are decomposed into irreducible multiplets of the finite modular group Γ7, which is isomorphic to PSL(2, Z7), the projective special linear group of two dimensional matrices over the finite Galois field of seven elements, containing 168 elements, sometimes written as PSL2(7) or Σ(168). At weight 2, there are 26 linearly independent modular forms, organised into a triplet, a septet and two octets of Γ7. A full list of modular forms up to weight 8 are provided. Assuming the absence of flavons, the simplest modular-invariant models based on Γ7 are constructed, in which neutrinos gain masses via either the Weinberg operator or the type-I seesaw mechanism, and their predictions compared to experiment.

scholarly journals A Technique for Securing Multiple Digital Images Based on 2D Linear Congruential Generator, Silver Ratio, and Galois Field

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Abdul Gaffar ◽  
Anand B. Joshi ◽  
Sonali Singh ◽  
Vishnu Narayan Mishra ◽  
Hamurabi Gamboa Rosales ◽  
...  
Keyword(s):  
Digital Images ◽  
Galois Field ◽  
Congruential Generator ◽  
Linear Congruential Generator ◽  
Linear Congruential
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