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Jacobi and Legendre symbol

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Jacobi and Legendre symbol

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Petter (view profile)

 

JACOBI computes the Jacobi symbol (m/n), a generalization of the Legendre symbol.

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Description

For the Legendre symbol (m/p), p must be an odd prime. The Jacobi symbol (m/n) allows n to be any odd number.

MATLAB release MATLAB 7.5 (R2007b)
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Comments and Ratings (2)
09 May 2015 David Amirault

There is a serious bug in your implementation of the Jacobi symbol, which was already pointed out by Sean. Please fix

16 Dec 2010 Sean McClintock

There are a couple of bugs in this program...

In line 36, we want to test if n=+/-1 mod8, however, since matlab will return a value from 0 to 7 for mod(n,8),

if abs(mod(n,8))==1 is not adequate,

Perhaps

if mod(n,8)==1
j = jacobi(m/2,n);
elseif mod(n,8)==7
j = jacobi(m/2,n);
etc would be better.

Also, I don't think this program deals with negative m.

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