Recent content by lenti

  1. L

    How can we show that the Hamming distance

    as an example; consider two binary words x=(1010110) and y=(1001010) the hamming distance between the binary words is d(x,y)=3 because they change in 3 bits.
  2. L

    How can we show that the Hamming distance

    The Hamming distance of two length-N words x, y, denoted as d(x,y), is defined as the number of components (symbols9 of x and y tha are different. we can writte as; d(x,y)=\sumI{x\neqy} thanks a lot
  3. L

    Show the following properties of Hamming weight

    Well the Hamming weight of a length-N word x denoted w(x) is defined as the number of components (symbols) of x that are nonzero. Well there is no special formula about the hamming weight it can be formulated as w(x)= \sumI{x\neq0} where I{x\neq0}, the indicator of event {x\neq0}, is 1 if...
  4. L

    Show the following properties of Hamming weight

    hi, I have to show the following properties of the Hamming weight for binary words x and y of equal lenght: a)w(x+y)=w(x)+w(y)-2w(x*y) b)w(x+y)>=w(x)-w(y) c) For w(y) even, w(x+y) is even iff w(x) is even d) For w(y) odd, w(x+y) is odd iff w(x) is even can anybody help me, thanks lenti
  5. L

    How can we show that the Hamming distance

    Hi, can anybody help me to show that the Hamming disatance d(x,y) is invarian to a shift of both x and y i.e d(x+z, y+z)=d(x,y) Thanks a lot Lenti
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