A Solution of the Energy Minimization Problem for Codes of Codimension 1

In this thesis, we study the space of quasicodes using Delsarte’s linear programming bound to solve the energy minimization problem on codes. Our main contribution is we give the optimal code of codimension 1 for any potential function. We also investigate the polytope of quasicodes, where we give a...

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Bibliographic Details
Main Author: Zhang, Yichi
Other Authors: Cohn, Henry
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/147485