Statement of The Bound
The minimum distance of a set of codewords of length is defined as
where is the Hamming distance between and . The expression represents the maximum number of possible codewords in a q-ary block code of length and minimum distance .
Then the Singleton bound states that
Read more about this topic: Singleton Bound
Famous quotes containing the words statement of, statement and/or bound:
“The most distinct and beautiful statement of any truth must take at last the mathematical form.”
—Henry David Thoreau (18171862)
“The honor my country shall never be stained by an apology from me for the statement of truth and the performance of duty; nor can I give any explanation of my official acts except such as is due to integrity and justice and consistent with the principles on which our institutions have been framed.”
—Andrew Jackson (17671845)
“Then comes my fit again. I had else been perfect,
Whole as the marble, founded as the rock,
As broad and general as the casing air.
But now I am cabined, cribbed, confined, bound in
To saucy doubts and fears.”
—William Shakespeare (15641616)