Large scale geometric programming: An application in coding theory

Large scale geometric programming: An application in coding theory

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Article ID: iaor1995405
Country: United Kingdom
Volume: 21
Issue: 7
Start Page Number: 747
End Page Number: 755
Publication Date: Aug 1994
Journal: Computers and Operations Research
Authors: ,
Keywords: programming: geometric
Abstract:

An algorithm is presented that solves the initial vector problem for group codes for the Gaussian channel. The Gaussian channel is a communications model in which messages are represented by vectors in Rn and transmitted over a noisy channel. In this paper, the set of messages, called a code, is generated by a group of permutation matrices and the problem of finding the code with the largest minimum distance between codewords for a particular permutation group is called the initial vector problem. This problem is an especially large scale nonlinear programming problem. The authors transform it to a generalized geometric programming problem and use the double condensation method to develop an algorithm for its solution.

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