Question

Mathematics - Coding Theory

Please give an example (or say why the example can not exist) of a code
C = (x + 1)(x))
in which contains a codeword of odd weight.

Please explain why you say this.

The trivial code and the repetition code does not count!

Answer 1

- It is cyclic code: Exists. By com not , A nn line art the Here giren that ca [Cart1) g (n.)] in IR which contained a codeword of odd weight. line ar cyclic By the definatico of cyclic code defination of cyclic code, ce con intora conderstand that .. if it is a line at [no] A code is cyclic if Binary and every codewards (conca...(n) E. c. also have that (cnicara (ni) is again a Codeworod in chi Then As per above above. "It's cylic if it's line ar". Which simply re means that always lineart. above cases By that non-linear.coda can nevest be ajelic". code if fors every codes cyclic we can say

Thank you so much sir.