کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4976146 1365607 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric
چکیده انگلیسی
We investigate the structure of codes over Galois rings with respect to the Rosenbloom-Tsfasman (shortly RT) metric. We define a standard form generator matrix and show how we can determine the minimum distance of a code by taking advantage of its standard form. We compute the RT-weights of a linear code given with a generator matrix in standard form. We define maximum distance rank (shortly MDR) codes with respect to this metric and give the weights of the codewords of an MDR code. Finally, we give a decoding technique for codes over Galois rings with respect to the RT metric.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Franklin Institute - Volume 344, Issue 5, August 2007, Pages 790-799
نویسندگان
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