Title :
On impossibility of uniform distribution of codewords over spheres in some cases
Author :
Fedorova, Maria ; Tarannikov, Yuriy
Author_Institution :
Dept. of Math. & Mech., Moscow State Univ., Russia
Abstract :
In this paper we introduce the general concept of UDS codes (uniformly distributed over spheres, a generalization of the concept introduced by Yu. Tarannikov in 1997 for Boolean functions) and prove two nonexistence results on UDS-codes.
Keywords :
Boolean functions; Galois fields; codes; Boolean functions; UDS-codes; uniform distribution of codewords; uniformly distributed over spheres; Binary codes; Boolean functions; Computer aided software engineering; Cryptography; Decoding; Ear; Hamming distance; Mathematics; Random sequences; Statistical distributions;
Conference_Titel :
Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7501-7
DOI :
10.1109/ISIT.2002.1023616
