New Cyclic Difference Sets with Singer Parameters Constructed from d-Homogeneous Functions
نویسنده
چکیده
In this paper, for a prime power q, new cyclic difference sets with Singer parameters ððq 1=q 1Þ; ðq 1 1=q 1Þ; ðq 2 1=q 1ÞÞ are constructed by using q-ary sequences (d-homogeneous functions) of period q 1 and the generalization of GMW difference sets is proposed by combining the generation methods of d-form sequences and extended sequences. When q is a power of 3, new cyclic difference sets with Singer parameters ððq 1=q 1Þ; ðq 1 1=q 1Þ; ðq 2 1=q 1ÞÞ are constructed from the ternary sequences of period q 1 with ideal autocorrelation introduced by Helleseth, Kumar, and Martinsen.
منابع مشابه
A Family of Cyclic Difference Sets with Singer Parameters
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عنوان ژورنال:
- Des. Codes Cryptography
دوره 33 شماره
صفحات -
تاریخ انتشار 2004