Codes and Length-Increasing Transitive Binary Relations
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Classes of codes defined by binary relations are considered. It turns out that many classes of codes can be defined by length-increasing transitive binary relations. By introducing a general embedding schema we show that the embedding problem can be solved in a unified way for many classes of codes defined in such a way. Several among these classes of codes can be characterized by means of variants of Parikh vectors. This is very useful in constructing many-word concrete codes, maximal codes in corresponding classes of codes. Also, this allows to establish procedures to generate all maximall codes as well as algorithms to embed a code in a maximal one in some classes of codes.
KeywordsCode binary relation embedding problem Parikh vector
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