منابع مشابه
Title A new Decoding Method of Redundant Residue Polynomial Codes
This paper presents a new decoding method of redundant residue polynomial codes. The decoding method has an advantage of correcting errors easily by checking the degree of the product of a polynomial corresponding to a received code and the moduli corresponding to error positions. The number of operations needed fbr this decoding method is about 1/10-11100 tirnes as Iarge as that needed fbr the...
متن کاملGray Images of Constacyclic Codes over some Polynomial Residue Rings
Let be the quotient ring where is the finite field of size and is a positive integer. A Gray map of length over is a special map from to ( . The Gray map is said to be a ( )-Gray map if the image of any -constacyclic code over is a -constacyclic code over the field . In this paper we investigate the existence of ( )-Gray maps over . In this direction, we find an equivalent ...
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In this paper residue number system (RNS) arithmetic and redundant residue number system (RRNS) based codes as well as their properties are reviewed. We propose a number of applications for RRNS codes and demonstrate how RRNS codes can be employed in global communication systems, in order to simplify the associated systems by unifying the entire encoding and decoding procedure across global com...
متن کاملResidue Codes Error Detection
This paper presents some results on multiple error detection and correction based on the Redundant Residue Number System (RRNS). RRNS. Encoding and decoding, Mixed error detection and error correction R4.4, R*4.2. 3. Projective plane codes, Fano plane, quadratic residue codes R*4.3, Latin. Abstract: This paper presents an error detection and data recovery (EDDR) design, based on the residueand-...
متن کاملGeneralized quadratic residue codes
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
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ژورنال
عنوان ژورنال: Information and Control
سال: 1968
ISSN: 0019-9958
DOI: 10.1016/s0019-9958(68)91025-5