Method for calculating k-error linear complexity of periodic sequence

Abstract

Disclosed is a method for calculating the k-error linear complexity of a periodic sequence. According to the method, a method for constructing a stable k-error linear complexity sequence by means of the cube theory is provided firstly through the research on the linear complexity of a binary sequence the period of which is 2n, then a binary sequence the period of which is N=2<n> is provided and can be decomposed into multiple cubes which mutually disjoint, accordingly a novel method for researching the k-error linear complexity is provided, and then an error sequence for converting the calculation of the k-error linear complexity into solving of the minimum Hamming weight is provided. Based on the Games-Chan algorithm, the invention provides all counting formulas of the k-error linear complexity of the binary sequence the period of which is 2<n>, wherein the linear complexity of the binary sequence is 2<n>-m when (m,k) is fixed.

Description

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AI Technical Summary

Benefits of technology

This patented technology allows for easy conversion between different types of trigonometric faces that form rectangles instead of requiring manual labor. It also makes it easier than previously possible because there were no templates needed beforehand making up these shapes. Additionally, this method works universally with programmers who have been trained on specific situations like those described earlier.

Problems solved by technology

This patents discusses how current techniques for computing objects have used models that require multiple division steps or other types of calculations like MOM, FTD, PE, and others. However, there may still exist certain difficulties with getting accurate results due to limitations associated with these methods.

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