Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Lexicographic codes or lexicodes are greedily generated error-correcting codes with remarkably good properties. They were produced independently by Levenshtein and Conway and Sloane and are known to be linear over some finite fields.A lexicode of minimum distance d and length n ove ...Täielik kirjeldus
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Lexicographic codes or lexicodes are greedily generated error-correcting codes with remarkably good properties. They were produced independently by Levenshtein and Conway and Sloane and are known to be linear over some finite fields.A lexicode of minimum distance d and length n over a finite field is generated by starting with the all-zero vector and iteratively adding the next vector (in lexicographic order) of minimum Hamming distance d from the vectors added so far. Since lexicodes are linear, they can also be constructed by means of their basis.