Construction of Huffman sequences with long length and low crosscorrelations

This paper proposes to construct a set of Huffman sequences with long length and low crosscorrelations for the application to multiple radar and communications. The sequence set is constructed from even-length base sequences whose lengths minus 1 are prime to each other. A base sequence given by a convolution between a sequence with length 2 and the other longer sequence is prolonged by interposing zero values, and the zero-valued sequence from the sequence with length 2 is replaced by another base sequence. The base sequences are those with small maximum absolute values such as the sequences derived from quadratic residues. The combination of the base sequences makes a set of even-length sequences whose crosscorrelations are estimated at small maximum absolute values.