Numerically Stable Real Number Codes Based on Random Matrices

Abstract — Error correction codes defined over realnumber and complex-number fields have been studied and recognized as useful in many applications. However, most real-number and complex-number codes in literature are quite suspect in their numerical stability. In this paper, we introduce a class of numerically stable real-number and complex-number codes that are based on random generator matrices over real-number and complex-number fields. Key Words: Error Correction Codes, Real-Number Codes, Random Matrices, Condition Number, Numerical Stability.

• Type: Conference
• Year: 2005
• Where: ICCS
• Authors: Zizhong Chen, Jack Dongarra
• Keywords: Complex-number Codes, Error Correction Codes, ICCS 2005, Numerical Stability