Questions on Coding Theory: Let C be a subspace of V (n, 2). Hence, C is a binary linear code. Let v E V(n, 2) such that v C. Consider the coset v+ C := {v+c| c E C}. (a) Prove that v+ C is not a linear code. (b) Two (arbitrary) q-ary codes C and C' that have the same length and size are distance isomorphic if there is a bijective map f from C into C'such that d(u, w) = d(f(u),f(w)) for all u, w EC. Show that C and v + C are distance isomorphic codes.

Questions on Coding Theory: Let C be a subspace of V (n, 2). Hence, C is a binary linear code. Let v E V(n, 2) such that v C. Consider the coset v+ C := {v+c| c E C}. (a) Prove that v+ C is not a linear code. (b) Two (arbitrary) q-ary codes C and C' that have the same length and size are distance isomorphic if there is a bijective map f from C into C'such that d(u, w) = d(f(u),f(w)) for all u, w EC. Show that C and v + C are distance isomorphic codes.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Questions on Coding Theory:
Let C be a subspace of V (n, 2). Hence, C is a binary linear code.
Let v E V(n, 2) such that v & C.
Consider the coset v+ C := {v+c| c E C}.
(a) Prove that v + C is not a linear code.
(b) Two (arbitrary) q-ary codes C and C' that have the same length
and size are distance isomorphic if there is a bijective map f from C
into C'such that d(u, w) = d(f(u),f(w)) for all u, w EC.
Show that C and v+ C are distance isomorphic codes.

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