Hamming and Reed-Solomon codes over certain rings
In this work we present extensions of constructions of Hamming and Reed-Solomon codes over local finite commutative rings with identity obtained from algebraic integer rings of a number field.
Andrade, A. A., Palazzo, R.
core +1 more source
SYNTHESIS AND ANALYSIS OF REED-SOLOMON CODES IN ISOMORPHIC SPACE OF IMAGES
A training variant of Reed-Solomon codes, which greatly simplifies the process of synthesis of codewords and detection-fixes for corrupted data files. The algorithm is based on the transfer of variables and operations, in which the synthesis and analysis
A.J. Beletsky +3 more
doaj
Algebraische Decodierung von Reed-Solomon-Codes und verwandten Codes
This work studies multivariate interpolation-based list-decoding (MID) of Reed-Solomon and related codes. A universal description of several codes as well as their error-correction radius, list size and complexity under linear-algebraic MID is derived ...
Brauchle, Joschi Tobias
core
This article concerns the problems of information decoding, using LDPC-code and describes different decoding schemes. It is also described that LDPC codes are selected as the DVB-S2 standard over 7 other turbo code based candidates because of its more ...
A. G. Soltanov
doaj
RS regenerating codes for cloud storage fault-tolerant system
RS(Reed-Solomon) regenerating erasure codes was proposed for cloud storage fault-tolerant system,which not only inherited the reliability of the RS encoding,but also achieved the high efficiency of tolerance three faults.Hybrid recovery method of the ...
Xi-ai YAN +3 more
doaj
On the Optimal File Size of Capacity-Achieving Byzantine-Resistant Private Information Retrieval Schemes. [PDF]
Kruglik S, Kiah HM, Dau SH, Wang H.
europepmc +1 more source
A dynamic image encryption scheme through 2-D cellular automata and chaotic logistic map. [PDF]
Abdul Y +4 more
europepmc +1 more source
Hamming and Reed-Solomon codes over certain rings
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Processo FAPESP: 95/4720-8In this work we present extensions of constructions of Hamming and Reed-Solomon codes over local finite commutative rings with identity obtained from algebraic integer
Andrade, A. A., Palazzo, R.
core
Error characterization and error correction approaches in combinatorial DNA-based storage. [PDF]
Preuss I +5 more
europepmc +1 more source
Undetected Error Bounds for Hybrid Integrity Protection Using Reed-Muller Codes, Algebraic Manipulation Detection, and Universal Hashing. [PDF]
Shavkatovich BA +9 more
europepmc +1 more source

