|
Showing 1 - 1 of
1 matches in All Departments
In this monograph, we develop the theory of one of the most
fascinating topics in coding theory, namely, perfect codes and
related structures. Perfect codes are considered to be the most
beautiful structure in coding theory, at least from the
mathematical side. These codes are the largest ones with their
given parameters. The book develops the theory of these codes in
various metrics - Hamming, Johnson, Lee, Grassmann, as well as in
other spaces and metrics. It also covers other related structures
such as diameter perfect codes, quasi-perfect codes, mixed codes,
tilings, combinatorial designs, and more. The goal is to give the
aspects of all these codes, to derive bounds on their sizes, and
present various constructions for these codes.The intention is to
offer a different perspective for the area of perfect codes. For
example, in many chapters there is a section devoted to diameter
perfect codes. In these codes, anticodes are used instead of balls
and these anticodes are related to intersecting families, an area
that is part of extremal combinatorics. This is one example that
shows how we direct our exposition in this book to both researchers
in coding theory and mathematicians interested in combinatorics and
extremal combinatorics. New perspectives for MDS codes, different
from the classic ones, which lead to new directions of research on
these codes are another example of how this book may appeal to both
researchers in coding theory and mathematicians.The book can also
be used as a textbook, either on basic course in combinatorial
coding theory, or as an advance course in combinatorial coding
theory.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Tenet
John David Washington, Robert Pattinson, …
DVD
R53
Discovery Miles 530
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.