Polynomial codes

2022 ◽  
pp. 24-38
Author(s):  
L. R. Vermani
Keyword(s):  
Polynomial Codes

scholarly journals Encoding through generalized polynomial codes

2011 ◽  
Vol 30 (2) ◽  
pp. 349-366 ◽  
Author(s):  
T. Shah ◽  
A. Khan ◽  
A. A. Andrade
Keyword(s):  
Generalized Polynomial ◽  
Polynomial Codes

scholarly journals Constructions of Polynomial Codes Based on Circular Permutation Over Finite Fields

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 134219-134223
Author(s):  
Xiuli Wang ◽  
Yakun Hao ◽  
Dan Qiao
Keyword(s):  
Finite Fields ◽  
Circular Permutation ◽  
Polynomial Codes

Polynomial codes

1968 ◽  
Vol 14 (6) ◽  
pp. 807-814 ◽  
Author(s):  
T. Kasami ◽  
Shu Lin ◽  
W. Peterson
Keyword(s):  
Polynomial Codes

scholarly journals Redundant residue polynomial codes

1968 ◽  
Vol 13 (6) ◽  
pp. 597-618 ◽  
Author(s):  
D.C. Bossen ◽  
S.S. Yau
Keyword(s):  
Polynomial Codes

A new transmission model in cognitive radio based on cyclic generalized polynomial codes for bandwidth reduction

2014 ◽  
Vol 06 (04) ◽  
pp. 1450059 ◽  
Author(s):  
Naveed Ahmed Azam ◽  
Tariq Shah ◽  
Antonio Aparecido de Andrade
Keyword(s):  
Cognitive Radio ◽  
Data Transmission ◽  
Primary User ◽  
Transmission Model ◽  
Secondary Users ◽  
Proposed Model ◽  
Generalized Polynomial ◽  
Polynomial Codes ◽  
Full Utilization ◽  
Minimum Interference

The frequency spectrums are inefficiently utilized and cognitive radio has been proposed for full utilization of these spectrums. The central idea of cognitive radio is to allow the secondary user to use the spectrum concurrently with the primary user with the compulsion of minimum interference. However, designing a model with minimum interference is a challenging task. In this paper, a transmission model based on cyclic generalized polynomial codes discussed in [2] and [15], is proposed for the improvement in utilization of spectrum. The proposed model assures a non interference data transmission of the primary and secondary users. Furthermore, analytical results are presented to show that the proposed model utilizes spectrum more efficiently as compared to traditional models.

scholarly journals Field Trace Polynomial Codes for Secure Distributed Matrix Multiplication

2021 ◽  
Author(s):  
Roberto Assis Machado ◽  
Rafael G. L. D'Oliveira ◽  
Salim El Rouayheb ◽  
Daniel Heinlein
Keyword(s):  
Matrix Multiplication ◽  
Polynomial Codes
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