# How to make a message into a polynomial on NTRU encryption?

How to make a message into a polynomial on NTRU encryption? for example how we can conver 'hello world' to polynomial... i have read the converting operation on IEEE Std 1363.1- 2008, but i can't understand the process without example, can anyone show for the small example?

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So, lets say you have a message encoded in base 2 as 101101, you'd set the polynomial to $1+0x+1x^2+1x^3+0x^4+1x^5=1+x^2+x^3+x^5$. That then is your message to encrypt. Technically you could encode a message in ternary and do the same thing. Then you'd have coefficients in $\{-1,0,1\}$. There is no reduction in security by encoding in binary, however, and only having coefficients in $\{0,1\}$.