Unitary designs and codes

نویسندگان
چکیده

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Unitary designs and codes

A unitary design is a collection of unitary matrices that approximate the entire unitary group, much like a spherical design approximates the entire unit sphere. In this paper, we use irreducible representations of the unitary group to find a general lower bound on the size of a unitary t-design in U(d), for any d and t. We also introduce the notion of a unitary code — a subset of U(d) in which...

متن کامل

Some Optimal Codes From Designs

The binary and ternary codes spanned by the rows of the point by block incidence matrices of some 2-designs and their complementary and orthogonal designs are studied. A new method is also introduced to study optimal codes.

متن کامل

Unitary Space-Time Constellation Designs From Group Codes

We propose new unitary space-time constellation designs with high diversity products. Our Hamiltonian and product constellations are based on Slepian’s group codes, and can be used for any number of transmitter antennas M and any data rate R. Our Hamiltonian constellations achieve the theoretical upper bound of diversity product in the case where M is even and the cardinality of the signal cons...

متن کامل

some designs and codes from l_2(q)

for $q in {7,8,9,11,13,16}$, we consider the primitive actions of $l_2(q)$ and use key-moori method 1 as described in [codes, designs and graphs from the janko groups {$j_1$} and{$j_2$}, {em j. combin. math. combin. comput.}, {bf 40} (2002) 143--159., correction to: ``codes, designs and graphs from the janko groups{$j_1$} and {$j_2$}'' [j. combin. math. combin. comput. {bf 40} (2002) 143--159],...

متن کامل

Unitary t-designs

Unitary t-designs provide a method to simplify integrating polynomials of degree less than t over U(d). We prove a classic result the trace double sum inequality and use it to derive the fundamental symmetries of t-designs. As an alternate approach to deriving an asymptotically tight lower bound on the size of t-designs, we introduce a greedy algorithm for constructing designs. Unfortunately, w...

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

ژورنال

عنوان ژورنال: Designs, Codes and Cryptography

سال: 2009

ISSN: 0925-1022,1573-7586

DOI: 10.1007/s10623-009-9290-2