Error-correcting codes and Minkowski’s conjecture
نویسندگان
چکیده
منابع مشابه
Error-Correcting Codes and Minkowski’s Conjecture
The goal of this paper is twofold. The main one is to survey the latest results on the perfect and quasi-perfect Lee error correcting codes. The other goal is to show that the area of Lee error correcting codes, like many ideas in mathematics, can trace its roots to the Phytagorean theorem a2+b2 = c2. Thus to show that the area of the perfect Lee error correcting codes is an integral part of ma...
متن کاملSynchronizable Error-Correcting Codes
A new technique for correcting synchronization errors in the transmission of discrete-symbol information is developed. The technique can be applied to any t-additive-error-correcting Bose-Chaudhuri-Hocquenghem code, to provide protection against synchronization errors. The synchronization error is corrected at the first complete received word after the word containing the synchronization error,...
متن کاملError-Correcting Codes
Transmission of information takes place over “noisy” signals. This is the case in satellite transmissions and storing data. For this reason, it is useful to encode information so that errors can be detected and corrected. For our purposes, we will assume all information to be encoded constists of words of fixed length k using symbols from a fixed alphabet, and all encoded messages are divided i...
متن کاملError Correcting Codes
Error correcting codes make possible much of digital technology, from modems to cell phones to compact disk players. The problem is to send a message across a noisy channel with perfect fidelity, or at least with as much fidelity as possible. Below we will describe the theory of these codes. It is based on some ideas from “modern algebra,” including finite number systems called rings and fields...
متن کاملذخیره 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: Tatra Mountains Mathematical Publications
سال: 2010
ISSN: 1210-3195
DOI: 10.2478/v10127-010-0004-y