Etzion, Tuvi <br/><br/>
Perfect codes and related structures / 
Tuvi Etzion 
 - Singapore :  World scientific Publishing Company Pvt. Ltd,  2022. 
 - 421 p. ; 15.9 cm. 
<br/><br/>Includes bibliography. 
<br/><br/>1. Codes, Block Length, Code Rate<br/>2. Hamming Distance, Minimum Distance<br/>3. Error-Correcting and Error-Detecting Capabilities<br/>4. Linear Codes<br/>5. Generator and Parity-Check Matrices<br/>6. Hamming Codes<br/>7. Cyclic Codes<br/>8. BCH Codes<br/>9. Reed-Solomon Codes<br/>10. Perfect Codes in Hamming Metric<br/>11. Sphere-Packing Bound<br/>12. Generalized Hamming Codes<br/>13. Golay Codes<br/>14. Perfect Codes in Johnson Metric<br/>15. Perfect Codes in Lee Metric<br/>16. Perfect Codes in Grassmann Metric<br/>17. Diameter Perfect Codes<br/>18. Quasi-Perfect Codes<br/>19. Mixed Codes<br/>20. Tilings and Combinatorial Designs<br/>21.Open Problems and Future Directions 
<br/><br/> This monograph provides a comprehensive exploration of perfect codes and related structures within coding theory. It delves into the mathematical properties of these codes, including their largest possible size and their behavior in various metrics. The book covers a wide range of topics, such as diameter perfect codes, quasi-perfect codes, and combinatorial designs, offering a diverse perspective on the field. By presenting new constructions and deriving bounds on code sizes, the book contributes to ongoing research in coding theory and provides valuable insights for both researchers and students. 
<br/><br/><label>ISBN: </label>9789811255878 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Perfect codes.<br/>Metrics and spaces.
<br/><br/><label>Dewey Class. No.: </label>003.54  / ETZ