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Hence the rate of Hamming codes is R = k / n = 1 − r / (2 r − 1), which is the highest possible for codes with minimum distance of three (i.e., the minimal number of bit changes needed to go from any code word to any other code word is three) and block length 2 r − 1.
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted F n . The sequence commonly starts from 0 and 1, although some authors start the sequence from 1 and 1 or sometimes (as did Fibonacci ...
The first female registered born on 2 January 1975 has number 75 (1975) 01 (January + 0) 02 (2nd) 001 (district has numbers, say, 0-50, and this is first female of this date) & check digit, i.e. 750102001 & check digit.
A generator matrix for a linear [,,]-code has format , where n is the length of a codeword, k is the number of information bits (the dimension of C as a vector subspace), d is the minimum distance of the code, and q is size of the finite field, that is, the number of symbols in the alphabet (thus, q = 2 indicates a binary code, etc.).
ASCII reserves the first 32 code points (numbers 0–31 decimal) and the last one (number 127 decimal) for control characters. These are codes intended to control peripheral devices (such as printers), or to provide meta-information about data streams, such as those stored on magnetic tape. Despite their name, these code points do not represent ...
As for the generation of Sobol’ numbers, they are clearly aided by the use of Gray code () = ⌊ / ⌋ instead of n for constructing the n-th point draw. Suppose we have already generated all the Sobol’ sequence draws up to n − 1 and kept in memory the values x n −1, j for all the required dimensions.
A ChipTAN generator is not tied to a particular account; instead, the user must insert their bank card during use. The TAN generated is specific to the bank card as well as to the current transaction details. There are two variants: In the older variant, the transaction details (at least amount and account number) must be entered manually.
The problem in the running code was discovered in 1995 by Ian Goldberg and David Wagner, [4] who had to reverse engineer the object code because Netscape refused to reveal the details of its random number generation (security through obscurity). That RNG was fixed in later releases (version 2 and higher) by more robust (i.e., more random and so ...
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