📄 rssymbolmul.m
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%*************************************************************************
% Copyright (C) 2008 Circuit and System Lab of PKU
%
% Created : 2008-5
% Author : houdong(houdong@pku.edu.cn)
%
% File Name : RsSymboMul.m
%
% Abstract : realize Product = LOperand * ROperand in the GF(2^4)
%
% Version : 1.0 2008-5 All Right Reserved.
%*************************************************************************
function [Product]=RsSymbolMul(LOperand,ROperand)
T=[1,2,4,8,3,6,12,11,5,10,7,14,15,13,9]; %create a table for GF(2^4)
if LOperand*ROperand==0 % if 'LOperand' or 'ROperand' is 0, output 'Product' is 0
Product=0;
% by check the table, represent the decimal numbers as powers of primitive root
% so multiplication turn to addition of the power of primitive root
% then check the table again to get the result of multiplication as a
% decimal number
else
a1=find(T==LOperand)-1;
b1=find(T==ROperand)-1;
c=mod((a1+b1),15);
Product=T(c+1);
end
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