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Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar

By Guang Gong

Appendix A: A Maple Program for Step 3 in Algorithm 3.1

Comments: In this Maple program, we set the parameters for computing the minimal polynomial of ? ³ in GF(2 ⁴) defined by the primitive polynomial f( x) = x ⁴+ x + 1 where ? is a root of f( x). So, for computing the minimal polynomials for different elements in different fields, one should reset the parameters.

writeto('output-file'):n:=4;p:=2;q:=p n?1;alias(alpha=RootOf(z 4+z+1)):C:=[3, 6, 12, 9]; #coset with coset leader 3 modulo 15m:=1: # a variable that holding the minimal polynomialfor d in C do    m:=Expand(m*(x+alpha d)) mod pod:print(m);quit;

Copyright Solomon W. Golomb and Guang Gong 2005 under license agreement with Books24x7

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