3 ms·

Isn’t that mapping ambiguous? Maybe I’m mission something, but if you have a number to decode, say n+4, how you do differentiate between (3,n+1) and (2,n+2) and

• Someone 4y ago
  If you have to decode n+4, you know the result can’t be in S, as its elements are mapped to {1,…,n}. So, the result is in T. You subtract n, leaving 4, and use whatever bijection you had for T to decode that into an element of T. If, on the other hand, you had n-4, you know it must decode to an element of S, and directly use its decoder to find that element.