Codes with multi-level error-correcting capabilities
نویسندگان
چکیده
منابع مشابه
On Codes with Multi-level Error-correction Capabilities
In conventional coding for error control, all the information symbols of a message are regarcred equally significant, and hence codes are devised to provide equal protection for each information symbol against channel errors. are more significant than the other symbols. However, in some occasions, some information symbols in a message As a result, it is desired to devise codes with multi-level ...
متن کاملMulti-label Classification with Error-correcting Codes
We formulate a framework for applying error-correcting codes (ECC) on multi-label classification problems. The framework treats some base learners as noisy channels and uses ECC to correct the prediction errors made by the learners. An immediate use of the framework is a novel ECC-based explanation of the popular random k-label-sets (RAKEL) algorithm using a simple repetition ECC. Using the fra...
متن کاملMulti-class Classification with Error Correcting Codes
Automatic text categorization has become a vital topic in many applications. Imagine for example the automatic classification of Internet pages for a search engine database. The traditional 1-of-n output coding for classification scheme needs resources increasing linearly with the number of classes. A different solution uses an error correcting code, increasing in length with O(log2(n)) only. I...
متن کاملOne-point Goppa Codes on Some Genus 3 Curves with Applications in Quantum Error-Correcting Codes
We investigate one-point algebraic geometric codes CL(D, G) associated to maximal curves recently characterized by Tafazolian and Torres given by the affine equation yl = f(x), where f(x) is a separable polynomial of degree r relatively prime to l. We mainly focus on the curve y4 = x3 +x and Picard curves given by the equations y3 = x4-x and y3 = x4 -1. As a result, we obtain exact value of min...
متن کاملOn the Error-Correcting Capabilities of Cycle Codes of Graphs
We are interested in a function f(p) that represents the probability that a random subset of edges of a-regular graph G contains half the edges of some cycle of G. f(p) is also the probability that a codeword be corrupted beyond recognition when words of the cycle code of G are submitted to the binary symmetric channel. We derive a precise upperbound on the largest p for which f(p) can vanish w...
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: Discrete Mathematics
سال: 1990
ISSN: 0012-365X
DOI: 10.1016/0012-365x(90)90014-9