Singleton Bound - Statement of The Bound

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)

    One is apt to be discouraged by the frequency with which Mr. Hardy has persuaded himself that a macabre subject is a poem in itself; that, if there be enough of death and the tomb in one’s theme, it needs no translation into art, the bold statement of it being sufficient.
    Rebecca West (1892–1983)

    Most personal correspondence of today consists of letters the first half of which are given over to an indexed statement of why the writer hasn’t written before, followed by one paragraph of small talk, with the remainder devoted to reasons why it is imperative that the letter be brought to a close.
    Robert Benchley (1889–1945)

    We are all bound to the throne of the Supreme Being by a flexible chain which restrains without enslaving us. The most wonderful aspect of the universal scheme of things is the action of free beings under divine guidance.
    Joseph De Maistre (1753–1821)