Generalized Reed - Solomon codes from algebraic geometry
نویسندگان
چکیده
منابع مشابه
Generalized Reed - Solomon codes from algebraic geometry
• 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 ...
متن کاملImproved decoding of Reed-Solomon and algebraic-geometry codes
Given an error-correcting code over strings of length n and an arbitrary input string also of length n, the list decoding problem is that of finding all codewords within a specified Hamming distance from the input string. We present an improved list decoding algorithm for decoding Reed-Solomon codes. The list decoding problem for Reed-Solomon codes reduces to the following “curve-fitting” probl...
متن کاملCounting generalized Reed-Solomon codes
In this article we count the number of [n, k] generalized Reed– Solomon (GRS) codes, including the codes coming from a non-degenerate conic plus nucleus. We compare our results with known formulae for the number of [n, 3] MDS codes with n = 6, 7, 8, 9.
متن کاملNew MDS Self-Dual Codes from Generalized Reed-Solomon Codes
Both MDS and Euclidean self-dual codes have theoretical and practical importance and the study of MDS self-dual codes has attracted lots of attention in recent years. In particular, determining existence of q-ary MDS self-dual codes for various lengths has been investigated extensively. The problem is completely solved for the case where q is even. The current paper focuses on the case where q ...
متن کاملAlgebraic soft-decoding of Reed-Solomon codes
1 Foreword This text is divided in two parts. The first one, the prerequisites, introduces all the necessary concepts of coding theory. If the reader is familiar with the basics of information and coding theory, he might skip this part and go directly to the second part, which is the core of this thesis. This second part studies an algorithm which improves the decoding of Reed-Solomon codes. Fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1987
ISSN: 0018-9448
DOI: 10.1109/tit.1987.1057320