Two Optimal One-Error-Correcting Codes of Length 13 That Are Not Doubly Shortened Perfect Codes
Autor: | Östergård, Patric R. J., Pottonen, Olli |
---|---|
Rok vydání: | 2009 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/s10623-010-9450-4 |
Popis: | The doubly shortened perfect codes of length 13 are classified utilizing the classification of perfect codes in [P.R.J. \"Osterg{\aa}rd and O. Pottonen, The perfect binary one-error-correcting codes of length 15: Part I - Classification, IEEE Trans. Inform. Theory, to appear]; there are 117821 such (13,512,3) codes. By applying a switching operation to those codes, two more (13,512,3) codes are obtained, which are then not doubly shortened perfect codes. Comment: v2: a correction concerning shortened codes of length 12 |
Databáze: | arXiv |
Externí odkaz: |