Perfect codes and minimal distance of a code have great importance in the study of theoryof codes. The perfect codes are classified generally and in particular for the Lee metric.However, there are very few perfect codes in the Lee metric. The Lee metric hasnice properties because of its definition over the ring of integers residue modulo q. It isconjectured that there are no perfect codes in this metric for q > 3, where q is a primenumber.The minimal distance comes into play when it comes to detection and correction oferror patterns in a code. A few bounds on the number of codewords and minimal distanceof a code are discussed. Some examples for the codes are constructed and their minimaldistance is calculated. The bounds are illustrated with the help of the results obtained.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:lnu-6574 |
| Date | January 2010 |
| Creators | Ahmed, Naveed, Ahmed, Waqas |
| Publisher | Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/masterThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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