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作者机构:PRINCETON UNIV PRINCETON NJ 08544 USA IBM CORP THOMAS J WATSON RES CTR YORKTOWN HTS NY 10598 USA UNIV CALIF BERKELEY BERKELEY CA 94720 USA
出 版 物:《SIAM JOURNAL ON COMPUTING》 (工业与应用数学会计算杂志)
年 卷 期:1996年第25卷第2期
页 面:252-271页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术(可授工学、理学学位)]
主 题:coding theory program correctness low-degree polynomial testing
摘 要:The study of self-testing and self-correcting programs leads to the search for robust characterizations of functions. Here the authors make this notion precise and show such a characterization for polynomials. From this characterization, the authors get the following applications. Simple and efficient self-testers for polynomial functions are constructed. The characterizations provide results in the area of coding theory by giving extremely fast and efficient error-detecting schemes for some well-known codes. This error-detection scheme plays a crucial role in subsequent results on the hardness of approximating some NP-optimization problems.