Title :
There is no binary [25,8,10] code
Author :
Ytrehus, Oyvind ; Helleseth, Tor
fDate :
5/1/1990 12:00:00 AM
Abstract :
The existence of a binary [25,8,10] code is considered. It is shown that such a code must have a generator matrix of a specific form. However, all generator matrices of this form were tested and none generated a [25,8,10] code. Thus, such a code does not exist
Keywords :
codes; binary [25,8,10] code; binary linear block code; generator matrix; Block codes; Councils; Equations; Hamming distance; Hamming weight; Informatics; Linear code; Strontium; Testing; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
