Nonbinary Error-Detecting Hybrid Codes
نویسندگان
چکیده
منابع مشابه
Unidirectional error-detecting codes
A xed-length binary code is called t{unidirectional error detecting if no codeword can be transformed into another codeword by at most t unidirectional errors. In this paper we consider the problem of mapping information sequences of length k into code-words of a t{unidirectional error detecting code of length k + p. In case of systematic codes we show that the parameters p and t must satisfy t...
متن کاملOn the Hamming bound for nonbinary localized-error-correcting codes
For nonbinary codes it is proved that the Hamming bound is asymptotically sharp in some range of the code rate.
متن کاملNonbinary quantum error-correcting codes from algebraic curves
We give a generalized CSS construction for nonbinary quantum error-correcting codes. Using this we construct nonbinary quantum stabilizer codes from algebraic curves. We also give asymptotically good nonbinary quantum codes from a GarciaStichtenoth tower of function fields which are constructible in polynomial time. keywords Algebraic geometric codes, nonbinary quantum codes.
متن کاملNonbinary Stabilizer Codes
Recently, the field of quantum error-correcting codes has rapidly emerged as an important discipline. As quantum information is extremely sensitive to noise, it seems unlikely that any large scale quantum computation is feasible without quantum error-correction. In
متن کاملNonbinary quantum stabilizer codes
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between selforthogonal codes over F4 and binary quantum codes to one between selforthogonal codes over Fq2 and q-ary quantum codes for any prime power q. Index Terms — quantum stabilizer codes, nonbinary quantum codes, selforthogonal codes.
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: American Journal of Science & Engineering
سال: 2020
ISSN: 2687-9530
DOI: 10.15864/ajse.1201