<p><b>Abstract</b>—We present a new technique for the embedding of large cube-connected cycles networks (<it>CCC</it>) into smaller ones, a problem that arises when algorithms designed for an architecture of an ideal size are to be executed on an existing architecture of a fixed size. Using the new embedding strategy, we show that the <it>CCC</it> of dimension <it>l</it> can be embedded into the <it>CCC</it> of dimension <it>k</it> with <it>dilation</it> 1 and optimum <it>load</it> for any <it>k</it>, <tmath>$l \in {\hbox{\sl{\rlap{N}\kern1.5pt{\hbox{N}}}}},$</tmath><it>k</it>≥ 8, such <tmath>${\textstyle{5 \over 3}}+c_k<{\textstyle{l \over k}}\le 2,$</tmath><tmath>$c_k={\textstyle{{4k +3} \over {3\cdot 2^{{2 \mathord{\left/ {\vphantom {2 3}} \right. \kern-\nulldelimiterspace} 3}k}}}},$</tmath> thus improving known results. Our embedding technique also leads to improved dilation-1 embeddings in the case <tmath>${\textstyle{3 \over 2}}<{\textstyle{l \over k}}\le {\textstyle{5 \over 3}}+c_k.$</tmath></p>