Known MDS codes (the Reed-Solomon codes, for instance) are defined over larger alphabets. This approach requires that (i) the encoding and decoding procedures are performed as operations over a finite field and (ii) an update in a single information bit (e.g. in storage applications) ...
Channel Upgradation for Non-Binary Input Alphabets and MACs Consider a single-user or multiple-access channel with a large output alphabet. A method to approximate the channel by an upgraded version having a smaller... U Pereg,I Tal - 《IEEE Transactions on Information Theory》 被引量: 0发表...
Alphanumeric Codes A binary digit or bit can represent only two states '0' or '1'. But this is not enough for communication between two computers because there we need many more symbols for communication. These symbols are required to represent 26 alphabets with capital and small letters, num...
Sergei V. Petoukhov
They used to codes over larger alphabets and replaced the Hamming metric a metric generated by the convex body. For “superballs” {(x1,x2,…,xn)∈En:∑i=1nxiσ≤1} for the sequence dj = pjσ of dimensions, where pj is an odd prime their bound exceeds the Minkowski-Hlawka bound. ...
We present two constructions of non-binary WOM-codes that leverage existing high sum-rate WOM-codes defined over smaller alphabets. In many instances, these constructions provide the highest known sum-rates of the non-binary WOM-codes. In addition, we introduce a new class of codes, called ...
摘要: We consider error-correcting codes over mixed alphabets with n2 binary and n3 ternary coordinates, and denote the maximum cardinality of such a code with minimum distance d by N(n2,n3,d). We here stud会议名称: International Symposium on Applied Algebra ...
There are several approaches for the construction of efficient storage codes for distributed storage systems as follows: – nonlinear codes [25,29]; – vector codes [30,31,32]; – codes over bounded alphabets [33]; – codes with short local MDS [24,30]; and – codes with local regenerati...
There are several approaches for the construction of efficient storage codes for distributed storage systems as follows: – nonlinear codes [25,29]; – vector codes [30,31,32]; – codes over bounded alphabets [33]; – codes with short local MDS [24,30]; and – codes with local regenerati...
Thebasic ASCII tableuses only numbers and letters from the English alphabet, cutting out a lot of possible information that a computer would otherwise have to interpret or translate. Extended ASCII codes are used to represent letters from foreign alphabets and other symbols. ...