Construction of Nested Truncated Mini-max Gold Codes

This paper is devoted to the construction of reduced-volume ensembles (truncated ensembles) for Gold codes with optimal values of the correlation functions by the mini-max criterion. In the work, an algorithm for constructing truncated ensembles is presented, offering comparable results in relation to the exhaustive brute force search algorithm, which takes a long time. The algorithm can reduce an ensemble to any number of codes, removing the least effective codes in terms of cross-correlation. Plots of energy gain in relation to ensemble volume and comparative BER diagrams are presented.