Long huffman sequences derived from even functional quadratic residues

Huffman sequences with long length are generated for the application to high attenuation sonar or radar. A general expression of Huffman sequence is given by polynomial expansion of its spectrum. For long length, the fist-order approximate sequence is given by a DFT expression and the estimate absolute value of the sequence is represented by a Gaussian shape. Long Huffman sequences are constructed from even functional quadratic residues. The calculated sequences with length up to 15914 show their estimate absolute values of Gaussian shape with peak value 2, although the maximum absolute value is about 6 when the length is 6030. The maximum absolute values are expected to be decreased by parameter selections.