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 (1817–1862)
“A sentence is made up of words, a statement is made in words.... Statements are made, words or sentences are used.”
—J.L. (John Langshaw)
“Think not, thou noble Roman,
That ever Brutus will go bound to Rome.
He bears too great a mind.”
—William Shakespeare (1564–1616)