کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473278 | 698785 | 2011 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Constructions of codes through the semigroup ring B[X;122Z0] and encoding
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Constructions of codes through the semigroup ring B[X;122Z0] and encoding Constructions of codes through the semigroup ring B[X;122Z0] and encoding](/preview/png/473278.png)
چکیده انگلیسی
For any finite commutative ring BB with an identity there is a strict inclusion B[X;Z0]⊂B[X;12;Z0]⊂B[X;122Z0] of commutative semigroup rings. This work is a continuation of Shah et al. (2011) [8], in which we extend the study of Andrade and Palazzo (2005) [7] for cyclic codes through the semigroup ring B[X;12;Z0]. In this study we developed a construction technique of cyclic codes through a semigroup ring B[X;122Z0] instead of a polynomial ring. However in the second phase we independently considered BCH, alternant, Goppa, Srivastava codes through a semigroup ring B[X;122Z0]. Hence we improved several results of Shah et al. (2011) [8] and Andrade and Palazzo (2005) [7] in a broader sense.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 4, August 2011, Pages 1645–1654
Journal: Computers & Mathematics with Applications - Volume 62, Issue 4, August 2011, Pages 1645–1654
نویسندگان
Tariq Shah, Atlas Khan, Antonio Aparecido de Andrade,