In this paper, we propose a connected-index approach to construct efficient
finite-length arithmetic codes by splitting the information of the last no
nfitting symbol into the current and subsequent codewords. The proposed ari
thmetic codes, which limit the error propagation in about one block, requir
e neither a post-appended end of-block symbol, nor pre-affixed side-informa
tion, to characterize the number of encoded symbols. Hence, the proposed fi
nite-length arithmetic codes can nearly achieve the coding efficiency attai
ned by infinite-length arithmetic codes. With high coding efficiency, limit
ed error-propagation, and the regular process, the proposed coding approach
is suitable for information exchange with small packets in modern high-spe
ed network systems.