Relative ( pn , p , pn , n ) - difference sets with GCD ( p , n ) = 1

نویسنده

  • Tao Feng
چکیده

Let p be an odd prime. We first get some non-existence and structural results on (pn,p,pn,n) relative difference sets with gcd(p,n)= 1 through a group ring approach. We then give a construction of (p(p+ 1),p,p(p+ 1),p+ 1) relative difference sets with p a Mersenne prime.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Cross-Correlation Distribution of p-Ary m-Sequence and Its p+1 Decimated Sequences with Shorter Period

In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p + 1 distinct decimated sequences s(dt + l) is derived. For an odd prime p, an even integer n, and d = pk + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period pn − 1 because gcd(d, pn − 1) = p + 1. The maximum magnitude of the...

متن کامل

Crystal Structure of Trans- [bis(2,5-dichlorophenylcyanamido) {N,N′-propanediylbis(2,3-butadien-2-imine-3-oxime)} Cobalt(III)], trans-[Co((DO)(DOH)pn)(2,5-Cl2pcyd)2]

The first crystal structure of a phenylcyanamide cobaltoxime (cobaloxime) complex is reported. This compound is trans-[Co((DO)(DOH)pn)(2,5-Cl2pcyd)2], and consits of an imine-oxime equatorial ligand ((DO)(DOH)pn) and two 2,5-dichlorophenylcyanamide ligands in axial positions. Crystals of trans- [Co((DO)(DOH)pn)(2,5-Cl2pcyd)2] were grown by ether diffusion into an acetonitrile solution of the co...

متن کامل

On the Cross-Correlation Distribution of p-ary m-Sequences

For an odd prime p, an even integer n, and d = p + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period p − 1 since gcd(d, p − 1) = p + 1. In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p+1 distinct decimated sequences s(dt+ l) is derived. The maximum magnitude Cmax of their ...

متن کامل

Cross-Correlation Distribution of p-ary m-Sequence

For an odd prime p, an even integer n, and d = p + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 ≤ l < p + 1, for a p-ary m-sequence s(t) of period p − 1 since gcd(d, p − 1) = p + 1. In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p+1 distinct decimated sequences s(dt+l) is derived. The maximum magnitude of their cross-...

متن کامل

Some Enumerations for Parking Functions

In this paper, let Pn,n+k;≤n+k (resp. Pn;≤s) denote the set of parking functions α = (a1, · · · , an) of length n with n+k (respe. n)parking spaces satisfying 1 ≤ ai ≤ n+k (resp. 1 ≤ ai ≤ s) for all i. Let pn,n+k;≤n+k = |Pn,n+k;≤n+k| and pn;≤s = |Pn;≤s|. Let P l n;≤s denote the set of parking functions α = (a1, · · · , an) ∈ Pn;≤s such that a1 = l and pn;≤s = |P l n;≤s|. We derive some formulas...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008