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 individual’s sovereignty.”
—Mario Vargas Llosa (b. 1936)
“After the first powerful plain manifesto
The black statement of pistons, without more fuss
But gliding like a queen, she leaves the station.”
—Stephen Spender (1909–1995)
“I think, therefore I am is the statement of an intellectual who underrates toothaches.”
—Milan Kundera (b. 1929)
“Poetry is a very complex art.... It is an art of pure sound bound in through an art of arbitrary and conventional symbols.”
—Ezra Pound (1885–1972)