On the minimum distance of cyclic codes
نویسندگان
چکیده
منابع مشابه
A new bound on the minimum distance of cyclic codes using small-minimum-distance cyclic codes
A new bound on the minimum distance of q-ary cyclic codes is proposed. It is based on the description by another cyclic code with small minimum distance. The connection to the BCH bound and the Hartmann–Tzeng (HT) bound is formulated explicitly. We show that for many cases our approach improves the HT bound. Furthermore, we refine our bound for several families of cyclic codes. We define syndro...
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• 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 کاملMore on the minimum distance of cyclic 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 ...
متن کاملOn the minimum distance of ternary cyclic codes
There are many ways to find lower bounds for the minium distance of a cyclic code, based on investigation of the defining set. Some new theorems are derived. These and earlier techniques are applied to find lower bounds for the minimum distance of ternary cyclic codes. Furthermore, the exact minimum distance of ternary cyclic codes of length less than 40 is computed numerically. A table is give...
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A conjecture of Da Rocha concerning the minimum distance of a class of combinatorial codes is proven.
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1986
ISSN: 0018-9448
DOI: 10.1109/tit.1986.1057134