کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582857 1630374 2014 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The weight distributions of two classes of p-ary cyclic codes
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The weight distributions of two classes of p-ary cyclic codes
چکیده انگلیسی

Let p be an odd prime, and m, k   be positive integers with m≥3km≥3k. Let C1C1 and C2C2 be cyclic codes over FpFp with parity-check polynomials h2(x)h3(x)h2(x)h3(x) and h1(x)h2(x)h3(x)h1(x)h2(x)h3(x), respectively, where h1(x)h1(x), h2(x)h2(x) and h3(x)h3(x) are the minimal polynomials of γ−1γ−1, γ−(pk+1)γ−(pk+1) and γ−(p3k+1)γ−(p3k+1) over FpFp, respectively, for a primitive element γ   of FpmFpm. Recently, Zeng et al. (2010) obtained the weight distribution of C2C2 for mgcd(m,k) being odd. In this paper, we determine the weight distribution of C1C1, and the weight distribution of C2C2 for the case that mgcd(m,k) is even.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 29, September 2014, Pages 202–224
نویسندگان
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