Accession Number:

AD0607858

Title:

WEIGHT DISTRIBUTION OF THE QUADRATIC RESIDUE (71,35) CODE.

Descriptive Note:

Physical and Mathematical Sciences Research Papers,

Corporate Author:

AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

Personal Author(s):

• Pless,Vera

Report Date:

1964-08-01

Pagination or Media Count:

13.0

Abstract:

The hand calculation of the weight distribution of the 71,35 quadratic residue code is briefly described. This calculation falls into two parts. The first part consists in evaluating the 10x10 determinant given by the powermoment identities, using properties of Van der Monde determinants. The second part of the calculation consists in reducing the six solutions obtained in the first part to one solution. This reduction is accomplished by group theory analysis. Author

Descriptors:

• *CODING
• NUMERICAL METHODS AND PROCEDURES
• GROUPS(MATHEMATICS)
• DETERMINANTS(MATHEMATICS)
• IDENTITIES
• MATRICES(MATHEMATICS)
• PERMUTATIONS
• INFORMATION THEORY

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE