Dynamic Ciphering-15 Based on Multiplicative Polynomial Inverses Over Galois Field GF(73)

2015 ◽  
pp. 31-48
Author(s):  
J K M Sadique Uz Zaman ◽  
Sankhanil Dey ◽  
Ranjan Ghosh
Keyword(s):  
Galois Field

Spatially Modulated Non Orthogonal Space Time Block Code: Construction and design from cyclic codes over Galois Field

2019 ◽  
Vol 35 ◽  
pp. 100735
Author(s):  
Godkhindi Shrutkirthi S. ◽  
Goutham Simha G.D. ◽  
U. Shripathi Acharya
Keyword(s):  
Cyclic Codes ◽  
Block Code ◽  
Galois Field ◽  
Space Time ◽  
Time Block ◽  
Code Construction ◽  
Space Time Block Code ◽  
Orthogonal Space

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

On certain functions connected with polynomials in a Galois field

1935 ◽  
Vol 1 (2) ◽  
pp. 137-168 ◽  
Author(s):  
Leonard Carlitz
Keyword(s):  
Galois Field

scholarly journals IMPLEMENTASI KRIPTOGRAFI KURVA ELIPTIK ELGAMAL DI LAPANGAN GALOIS PRIMA PADA PROSES ENKRIPSI DAN DEKRIPSI BERBANTUAN SOFTWARE PYTHON

2021 ◽  
Vol 4 (1) ◽  
pp. 45-60
Author(s):  
Ummu Wachidatul Latifah ◽  
Puguh Wahyu Prasetyo
Keyword(s):  
Galois Field

Perkembangan teknologi memberikan dampak terhadap kemajuan di segala bidang kehidupan manusia terutama dalam bidang informasi. Hal ini memberikan dampak positif dan negatif. Salah satu dampak positifnya adalah mudahnya bertukar informasi dari yang bersifat umum atau rahasia melalui internet. Dampak negatifnya adalah data yang bersifat rahasia menjadi kurang aman dan dapat disalahgunakan oleh pihak yang tidak berwenang. Kriptografi kurva eliptik El-Gamal (ECC: Eliptic Curve Cryptosystem) memberikan solusi untuk keamanan suatu informasi. ECC merupakan salah satu metode kriptografi kunci publik yang mempunyai tingkat keamanan tinggi dibandingkan dengan algoritma kunci publik lainnya. Tujuan dari penelitian ini adalah memahami konsep kriptografi kurva eliptik El-Gamal yang akan didefinisikan di Galois field prima. Hasil dari penelitian ini, yaitu penggunaan kurva eliptik El-Gamal di Galois field prima untuk proses pembentukan kunci, proses enkripsi dan proses dekripsi pada suatu data dengan menggunakan Python.

scholarly journals A $q$-Analogue of de Finetti's Theorem

10.37236/167 ◽  
2009 ◽  
Vol 16 (1) ◽  
Author(s):  
Alexander Gnedin ◽  
Grigori Olshanski
Keyword(s):  
Boundary Problem ◽  
Galois Field ◽  
Infinite Group ◽  
Natural Action ◽  
De Finetti’S Theorem ◽  
De Finetti's Theorem ◽  
Invertible Matrices

A $q$-analogue of de Finetti's theorem is obtained in terms of a boundary problem for the $q$-Pascal graph. For $q$ a power of prime this leads to a characterisation of random spaces over the Galois field ${\Bbb F}_q$ that are invariant under the natural action of the infinite group of invertible matrices with coefficients from ${\Bbb F}_q$.

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