M-ARY SIGNALLING AND BALANCED INCOMPLETE BLOCK DESIGNS.
Abstract
A set of code words obtained by the cyclic permutation of binary sequences having auto correlation functions with only two values is discussed. The relationships of this type of code to solutions of balanced incomplete block design problems and other mathematical constructs are presented. These codes consist of m words of m binary digits each. A simple m-ary system transmitting through white Gaussian noise is used to discuss error probabilities. Cases in which these codes can be shown to exist are noted, and a list of known codes with lengths less than 100 is provided. The advantages of signalling with this type of code, as compared to orthogonal code words, are discussed. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1963
- Accession Number
- AD0413835
Entities
People
- Alfred S. Kobos
Organizations
- Rome Laboratory