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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Roth, R.M. Seroussi, G. |
| Copyright Year | 1994 |
| Description | Author affiliation: Dept. of Comput. Sci., Israel Inst. of Technol., Haifa, Israel (Roth, R.M.) |
| Abstract | We study linear codes over GF(q) that can correct t channel errors assuming the error values are known. This is a counterpart to the well-known problem of erasure correction, where error values are found assuming the locations are known. We prove a Singleton-type bound on the redundancy of any t-location-correcting code (t-LCC) of length >t. Furthermore, using sphere-packing arguments, we prove a lower bound of [t/2](log/sub q/(q-1)+2log/sub q/(n/t)) on the redundancy of any t-LCC. This, in turn, implies an upper bound of O(/spl radic/q) on the length of any t-LCC that attains the Singleton-type bound whenever 2/spl les/t/spl Lt/q. We show optimal constructions of t-LCCs for t/spl isin/{1,2,n-2,n-1,n}, and constructions for other values of t that attain minimal redundancy but fall short of the asymptotic length upper bound. |
| File Size | 110837 |
| File Format | |
| ISBN | 0780320158 |
| DOI | 10.1109/ISIT.1994.394991 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1994-06-27 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Decoding Error correction codes Redundancy Error correction Upper bound Computer errors Parity check codes Computer science Laboratories Milling machines |
| Content Type | Text |
| Resource Type | Article |
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