On a Conjecture of Golomb for Costas Arrays
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{'SignBlockName': 'Dwight D. Fisher', 'PO_EMAI': None, 'PO_PHON': None}
This project will use number theory from mathematics for application to         waveform design for radar, sonar and communications signals.  Typical           applications are in public key cryptography, image processing, and              frequency hopping techniques.  The research will examine GOLOMB                 conjectures A, B and C as found in the scientific literature referenced         in the research proposal.  The principal investigator expects to prove          conjecture A and to give as complete a proof as possible for                    conjectures B and C.  He recently proved conjecture D (there exists a           primitive quadratic of trace 1 over every finite field GF ( ) -- a              polynominal x  -x+g over GF ( ) whose roots     are primitive elements          of GF (  )) and intends to extend that to a new Conjecture D .
{'FirstName': 'Oscar', 'LastName': 'Moreno', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Oscar Moreno', 'EmailAddress': 'moreno@nic.pr', 'NSF_ID': '000478215', 'StartDate': '06/01/1986', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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