A Class of Orthogonal Sequences
This work addresses the need for secure cryptographic keys by providing a method to generate orthogonal sequences, but it appears incremental as it builds on existing number theoretic concepts without claiming broad advancements.
The paper tackled the problem of generating random orthogonal sequences with zero autocorrelation except at the origin, presenting a constructive procedure based on the number theoretic Hilbert transform for different modulus values, and demonstrated their potential use as keys in cryptography applications.
This paper presents a class of random orthogonal sequences associated with the number theoretic Hilbert transform. We present a constructive procedure for finding the random sequences for different modulus values. These random sequences have autocorrelation function that is zero everywhere excepting at the origin. These sequences may be used as keys and in other cryptography applications.