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 the, statement of, statement and/or bound:
“Eroticism has its own moral justification because it says that pleasure is enough for me; it is a statement of the individuals sovereignty.”
—Mario Vargas Llosa (b. 1936)
“Eloquence must be grounded on the plainest narrative. Afterwards, it may warm itself until it exhales symbols of every kind and color, speaks only through the most poetic forms; but first and last, it must still be at bottom a biblical statement of fact.”
—Ralph Waldo Emerson (18031882)
“The new statement is always hated by the old, and, to those dwelling in the old, comes like an abyss of skepticism.”
—Ralph Waldo Emerson (18031882)
“Behind the concept of womans strangeness is the idea that a woman may do anything: she is below society, not bound by its law, unpredictable; an attribute given to every member of the league of the unfortunate.”
—Christina Stead (19021983)