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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Pelusi, D. Tallini, L.G. Bose, B. |
| Copyright Year | 2010 |
| Description | Author affiliation: School of EECS, Oregon State University, Corvallis, OR 97331. USA (Bose, B.) || Dip. di Scienze della Comunicazione, Università degli Studi di Teramo, Coste San Agostino, 64100, Italy (Pelusi, D.; Tallini, L.G.) |
| Abstract | An m-ary block code, m = 2, 3, 4, …, of length n ∈ IN is called balanced if, and only if, every codeword is balanced; that is, the real sum of the codeword components, or weight, is equal to ⌊(m − 1)n/2⌋. This paper presents a tight generalization of Knuth's complementation method with parallel (hence, fast) decoding scheme. Let equations indicate the number of m-ary words of length n and weight w∈{0, 1, …, (m−1)n}. A simple implementation of the scheme uses (m − 1)k +m mod 2 balancing functions to make a k ∈ IN digit information word to be balanced. So, r ∈ IN check digits can be used to balance k ≤ equations (m − 1) information digits. A refined implementation of the parallel decoding scheme uses r check digits to balance k ≤ $(m^{r}$ −1)/(m−1) information digits. |
| Starting Page | 1305 |
| Ending Page | 1309 |
| File Size | 160434 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781424478903 |
| e-ISBN | 9781424478927 |
| e-ISBN | 9781424478910 |
| DOI | 10.1109/ISIT.2010.5513733 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2010-06-13 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Decoding Block codes Redundancy Encoding Optical detectors Optical recording Magnetic recording Frequency Digital communication optical and magnetic recording m-ary alphabet balanced codes Knuth's complementation method parallel decoding scheme unidirectional error detection |
| Content Type | Text |
| Resource Type | Article |
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