کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582827 | 1630369 | 2015 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Self-dual RkRk lifts of binary self-dual codes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Self-dual RkRk lifts of binary self-dual codes Self-dual RkRk lifts of binary self-dual codes](/preview/png/4582827.png)
چکیده انگلیسی
In this paper, we give a method to lift binary self-dual codes to the ring RkRk. The lifting method requires solving a system of linear equations over RkRk. This technique is applied to [14,7,4][14,7,4] binary self-dual code to obtain self-dual codes over R2R2. As Gray images of these codes, a substantial number of [56,28,10][56,28,10] self-dual codes are generated. By using the extension theorem given by Bouyuklieva and Bouyukliev in [2], ten new extremal binary self-dual codes of length 58 with new enumerators are found which were not previously known to exist.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 34, July 2015, Pages 317–326
Journal: Finite Fields and Their Applications - Volume 34, July 2015, Pages 317–326
نویسندگان
Suat Karadeniz, Refia Aksoy,