A class of Siamese twin Menon designs

نویسنده

  • Dean Crnković
چکیده

A {0,±1}-matrix S is called a Siamese twin design sharing the entries of I, if S = I +K − L, where I,K,L are non-zero {0, 1}-matrices and both I + K and I + L are incidence matrices of symmetric designs with the same parameters. Let p and 2p−1 be prime powers and p ≡ 3 (mod 4). We describe a construction of a Siamese twin Menon design with parameters (4p, 2p − p, p − p), yielding a Siamese twin Hadamard design with parameters (4p − 1, 2p − 1, p − 1).

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

A series of Siamese twin designs intersecting in a BIBD and a PBD

Let p and 2p − 1 be prime powers and p ≡ 3 (mod 4). We describe a construction of a series of Siamese twin designs with Menon parameters (4p, 2p − p, p − p) intersecting in a derived design with parameters (2p − p, p − p, p − p − 1), and a pairwise balanced design PBD(2p − p, {p, p − p}, p − p − 1). When p and 2p − 1 are primes, the derived design and the pairwise balanced design are cyclic. Fu...

متن کامل

On the Siamese Twin Designs

j, 1 i 2n, 1 j 2n, where J2n is the 2n by 2n matrix of all entries 1. It is known that symmetric Bush–type Hadamard matrices exist for all orders 16n2 for all values of n for which there is a Hadamard matrix of order 4n, see [8] for details. A balanced generalized weighing matrix BGW ν κ λ over a group G is a matrix W wi j of order ν , with wi j G 0 such that each row and column of W has κ non–...

متن کامل

بررسی سفالومتریک آثار درمانی دستگاه فانکشنال Twin-block و بایت پلن قدامی شیب‌دار در درمان بیماران 14-11ساله دارای ناهنجاری اسکلتال کلاس II گروه 1

Background and Aims: Cl II malocclusion is one of the most common abnormalities in human societies and using a simple, affordable and accessible treatment that can be provided by general practitioners or specialists, to prevent future malocclusion complications is vital. Cl II malocclusion treatment using functional appliances such as twin block and anterior inclined bite plan have less cost, s...

متن کامل

SigNet: Convolutional Siamese Network for Writer Independent Offline Signature Verification

Offline signature verification is one of the most challenging tasks in biometrics and document forensics. Unlike other verification problems, it needs to model minute but critical details between genuine and forged signatures, because a skilled falsification might only differ from a real signature by some specific kinds of deformation. This verification task is even harder in writer independent...

متن کامل

The Study of different rations of spawning efficiency of siamese fighting fish (Bettasplendens)

The effects of five different foods including: blood worm, artemia cyst, Artemia mass powder, gammarus mass powder and ordinary commercial food were studied on Siamese fighting fish (Bettasplendens) propagation efficiency during thirty days in a Randomize Totally Design with 4 repeats .Experimental plots had been consisted of twenty 30*30*40 (cm) aquarium which a pair of male and female brood s...

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 2007