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本文提出一类新的GF(2~b)上的能够纠正t个随机错误的tEC码和一类新的能够定位t个字节错的tBEL码.两类新码都具有构造规律、易于设计的优点.其中这类tEC码是极大最小距离码,而且具有实际距离等于设计距离的特点.它的信息率明显高于著名的RS码.因而特别适于光盘和磁盘存储器纠错.
In this paper, we propose a new class of tEC codes that can correct t random errors on GF (2 ~ b) and a new class of tBEL codes that can locate t-byte errors. Both new codes have the construction rules and are easy to design The advantages of these tEC codes are the maximum and minimum distance codes, and the actual distance is equal to the design distance. Its information rate is significantly higher than that of the well-known RS code and is therefore particularly suitable for optical and disk memory error correction.