Could length of code word obtained by adaptive arithmetic coding be more, than by using ordinary arithmetic coding?

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I've generated random sequence 'YeYYLez!' and calculated code word by arithmetic coding $\gamma = 00110111$. After that I calculated code word by adaptive arithmetic coding and got code word $\gamma = 0001000100101$. Which is longer, than in case of ordinary arithmetic coding. Is it ordinary situation or I have a mistake somewhere?