Polynomial invariants of <i>G</i>-orbit errors of BCH codes and its application

The article addresses the further development of methods of BCH codes norm decoding. The authors propose to use new syndrome invariants - polynomial invariants of automorphism group G of a family of BCH codes. The paper presents basic properties of polynomial invariants and errors correction techniq...

Full description

Bibliographic Details
Published in:	Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
Main Authors:	V. A. Lipnitski, E. V. Sereda
Format:	Article
Language:	Russian
Published:	Educational institution «Belarusian State University of Informatics and Radioelectronics» 2019-06-01
Subjects:	bch code syndrome automorphism of bch code error г-orbits and g-orbits norm of syndrome norm of syndrome theory polynomial invariants of error g-orbits
Online Access:	https://doklady.bsuir.by/jour/article/view/878

Similar Items

PROPERTIES OF GROUPS G OF DOUBLE ERRORS AND ITS INVARIANTS IN BCH CODES
by: V. A. Lipnitskij, et al.
Published: (2018-08-01)

Properties of triple error orbits G and their invariants in Bose – Chaudhuri – Hocquenghem codes C7
by: V. A. Lipnitski, et al.
Published: (2019-03-01)

New non-primitive codes formed from primitive BCH and Hamming codes and their norm evaluation
by: V. K. Konopelko, et al.
Published: (2019-06-01)

The automorphisms and error orbits of Reed – Solomon codes
by: S. I. Semyonov, et al.
Published: (2020-06-01)

Syndrome spectrums of error orbits in RS-codes
by: V. A. Lipnitski, et al.
Published: (2020-05-01)

Error correction by Reed–Solomon codes using its automorphisms
by: V. A. Lipnitsky, et al.
Published: (2021-04-01)

Reduced complexity hard‐ and soft‐input BCH decoding with applications in concatenated codes
by: Jürgen Freudenberger, et al.
Published: (2021-05-01)

Analysis of data transmission in a binary symmetric communication channel using BCH coding
by: T. A. Pavlenko, et al.
Published: (2023-12-01)

Sequences of Primitive and Non-primitive BCH Codes
by: A. S. Ansari, et al.
Published: (2018-09-01)

ON CLOSED BCH-ALGEBRA WITH RESPECT TO AN ELEMENT OF A BCH-ALGEBRA
by: Hussein Hadi Abbass
Published: (2011-11-01)

Trends and challenges in design of embedded BCH error correction codes in multi-levels NAND flash memory devices
by: Saeideh Nabipour, et al.
Published: (2024-04-01)

Some New Quantum BCH Codes over Finite Fields
by: Lijuan Xing, et al.
Published: (2021-06-01)

A Spectral Algorithm for Decoding Systematic BCH Codes
by: Sergei Valentinovich Fedorenko
Published: (2022-01-01)

Error Resilient Video Streaming with BCH Code Protection in Wireless Sensor Networks
by: Matteo Petracca, et al.
Published: (2014-03-01)

Iterative Shaping of Error Patterns For Normal Syndrome Decoding of Iterative Codes
by: X. H. Ren, et al.
Published: (2022-03-01)

Asymptotic Analysis of Blind Reconstruction of BCH Codes Based on Consecutive Roots of Generator Polynomials
by: Minki Song, et al.
Published: (2020-01-01)

LDPC Error Floor Improvement
by: Aseel Hameed Majeed
Published: (2012-01-01)

Blind recognition of primitive BCH code based on average cosine conformity
by: Zhaojun WU, et al.
Published: (2020-01-01)

Blind recognition of primitive BCH code based on average cosine conformity
by: Zhaojun WU, et al.
Published: (2020-01-01)

Design and implementation of codec based on BCH error correction algorithm
by: Wang Guan, et al.
Published: (2022-05-01)

Ciphered BCH Codes for PAPR Reduction in the OFDM in Underwater Acoustic Channels
by: Mohsin Murad, et al.
Published: (2022-01-01)

Reducing vulnerability of modified LSB algorithm to a chosen statistic attacks
by: Kamil Kaczyński
Published: (2014-12-01)

Construction of quantum BCH code based on cyclotomic coset
by: Lijuan XING, et al.
Published: (2021-10-01)

Construction of quantum BCH code based on cyclotomic coset
by: Lijuan XING, et al.
Published: (2021-10-01)

Construction and Decoding of BCH-Codes Over the Gaussian Field
by: Muhammad Sajjad, et al.
Published: (2023-01-01)

Software Implementation of Binary BCH Decoder Using Microcontroller
by: Mohammed Kasim Al-Haddad, Instructor
Published: (2015-04-01)

Radiation Environment-Constrained FPGA Reinforcement Technology and Reliability Research Utilizing Error Control Coding
by: Dongliang Zhang, et al.
Published: (2024-01-01)

Double-Staged Syndrome Coding Scheme for Improving Information Transmission Security over the Wiretap Channel
by: Sarwat A. Ahmed, et al.
Published: (2023-02-01)

An Improved Concatenation Scheme of BCH-Polar Codes With Low-Latency Decoding Architecture
by: Yu Wang, et al.
Published: (2019-01-01)

A Study of Roots of a Certain Class of Counting Polynomials
by: Modjtaba Ghorbani, et al.
Published: (2023-06-01)

Analysis of Blind Reconstruction of BCH Codes
by: Soonhee Kwon, et al.
Published: (2020-11-01)

Performance of FSO-OFDM based on BCH code
by: Jiao Xiao-lu, et al.
Published: (2016-01-01)

On the arranging data transmission channel of an underwater navigation system with fast fading channel conditions
by: D. S. Borovitskiy, et al.
Published: (2015-02-01)

Support Vector Machine based Decoding Algorithm for BCH Codes
by: V. Sudharsan, et al.
Published: (2016-06-01)

Eisenstein field BCH codes construction and decoding
by: Muhammad Sajjad, et al.
Published: (2023-10-01)

Orbital Apex Syndrome: A Review
by: Badakere A, et al.
Published: (2019-12-01)

Recurrent Orbital Myositis: A Case Report
by: Eda Ayberkin, et al.
Published: (2007-09-01)

Orbital Stability and Invariant Manifolds on Distant Retrograde Orbits around Ganymede and Nearby Higher-Period Orbits
by: Qingqing Li, et al.
Published: (2022-08-01)

On the Orbit Problem of Free Lie Algebras
by: Zeynep Yaptı Özkurt
Published: (2023-06-01)

A Temporal Methodology for Assessing the Performance of Concatenated Codes in OFDM Systems for 4K-UHD Video Transmission
by: Thiago de A. Costa, et al.
Published: (2024-04-01)