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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Tallini, L.G. Elarief, N. Bose, B. |
| Copyright Year | 2010 |
| Description | Author affiliation: School of EECS, Oregon State University, Corvallis, 97331. USA (Elarief, N.; Bose, B.) || Dip. di Scienze della Comunicazione, Università degli Studi di Teramo, Coste San Agostino, 64100. Italy (Tallini, L.G.) |
| Abstract | This paper gives the theory and design of efficient codes capable of correcting errors caused by the insertion and deletion of a repeated symbol in the information sequence. Two efficient methods are described. For any fixed t+, t− ∈ IN, one method gives a fixed length scheme to encode k information bits into a systematic code of length n = k + r, with r = (t+ + t−) log2 k + O(log log k), capable of correcting the insertion of t+ repeated symbols and, simultaneously, correcting the deletion of t− repeated symbols in every codeword. The second method is a systematic variable length scheme which on average doubles the number of information bits k compared to the first method. The time complexity of the entire coding process for both schemes is T = O (k + (1+min{t−, t+})t) multiplication operations over a finite field containing k elements. The space complexity is S = O(k+t) field memory elements. The generalization to the m-ary case, m ≥ 2, is also given. |
| Starting Page | 1012 |
| Ending Page | 1016 |
| File Size | 161912 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781424478903 |
| e-ISBN | 9781424478927 |
| e-ISBN | 9781424478910 |
| DOI | 10.1109/ISIT.2010.5513741 |
| 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 | Error correction codes Error correction Galois fields Hamming weight Communication systems Timing Binary sequences synchronization error control codes Insertion and deletion errors repetition errors asymmetric errors |
| Content Type | Text |
| Resource Type | Article |
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