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Abstract
A bifix code is a prefix code which is also a suffix code. The family of all bifix codes is the most important family of all codes. This family has been split into subfamilies such as the family of comma codes, the family of comma-free codes and the families of strict intercodes of index m, m ≥ 2. This paper is a study of the properties of the annihilators of a given bifix code. The types of annihilators we will consider are comma code, comma-free code and strict intercode of index m annihilators. We present the existence of each kind of annihilators we considered. We obtained several interesting properties together with two-word comma codes and strict intercodes of index 2.
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