Determining the minimum Hamming Distance
How can I find the minimum Hamming Distance for the above?
I understand the string comparison idea and putting it into a table based on C0, C1, C2, etc but I'm not sure how to group the code above. Any suggestions? Thank you in advance.
Solution
Generally, to find the minimum Hamming distance you have to compute the Hamming distance of each pair of code words and then take the minimum of these. For special cases, e.g. linear codes there are theorems for quicker determination of the minimum Hamming distance (https://en.wikipedia.org/wiki/Linear_code).
In your example, the eye spots several adjacent code word pairs differing only in one bit, so as Egor wrote, the minimum Hamming distance is 1.
- How did Python implement the built-in function pow()?
- Python and Powers Math
- GPS coordinates: 1km square around a point
- How to check if a number is a power of 2
- Why does Math.Sign() throws exception when passed a NaN?
- How does java do modulus calculations with negative numbers?
- Finding the string length of a integer in .NET
- LeetCode 231: Problem in finding whether a given number is Power of 2
- What is the remainder of integer division?
- Is floating-point math broken?
- Is there a difference between scipy.pi, numpy.pi, or math.pi?
- How to prove that "i & (i - 1) == 0" means "i is the power of 2"
- Efficient implementation of natural logarithm (ln) and exponentiation
- How can I simulate firefox animation behaviour on chrome when using calcMode="linear"?
- How to get ceil value of number when divided in <s:iterator> tag in Struts 2
- How does this bitwise operation check for a power of 2?
- Why are mathematical constants truncated differently in powershell?
- Using bitwise operators on > 32 bit integers
- Constraining a number to a looping range. Is there a more elegant function?
- Why is the counter decrementing correctly but the countdown is not?
- Math question in regards to functions in the form (1) / ( b ^ c )
- calculate shift hours with break time deductions starting from current night to next day morning using google apps script
- Denormalizing thetas after a linear regression with gradient descent
- How to calculate percentage when old value is ZERO
- Intuitive Understanding of GCD algorithm
- What's the simplest way to extend a numpy array in 2 dimensions?
- Why do I divide Z by W in a perspective projection in OpenGL?
- How to calculate with googol or even larger numbers in java?
- How to check for NaN values
- how to make this function periodic in MATLAB?