Search results
Results From The WOW.Com Content Network
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.).
Formally, a parity check matrix H of a linear code C is a generator matrix of the dual code, C ⊥. This means that a codeword c is in C if and only if the matrix-vector product Hc ⊤ = 0 (some authors [1] would write this in an equivalent form, cH ⊤ = 0.) The rows of a parity check matrix are the coefficients of the parity check equations. [2]
The port numbers in the range from 0 to 1023 (0 to 2 10 − 1) are the well-known ports or system ports. [3] They are used by system processes that provide widely used types of network services. On Unix-like operating systems, a process must execute with superuser privileges to be able to bind a network socket to an IP address using one of the ...
Contents. Singleton bound. In coding theory, the Singleton bound, named after Richard Collom Singleton, is a relatively crude upper bound on the size of an arbitrary block code with block length , size and minimum distance . It is also known as the Joshibound. 1 proved by Joshi (1958) and even earlier by Komamiya (1953) .
Six defeats Weaver, and Rex is taken to Purgatory Base, located on a remote desert island in the South Pacific, to offload the remainder of his nanites. As Rex walks off to explore the island with Bobo, Six and Holiday privately discuss Rex's nature. 7. 7. "Leader of the Pack". Sam Montes. Alexx Van Dyne. June 4, 2010.
In modular arithmetic, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer a coprime to n, there is some integer k for which gk ≡ a (mod n ). Such a value k is called the index or discrete logarithm of a to the base g modulo n.
The BCH code with and higher has the generator polynomial. This code has minimal Hamming distance 15 and corrects 7 errors. It has 1 data bit and 14 checksum bits. It is also denoted as: (15, 1) BCH code. In fact, this code has only two codewords: 000000000000000 and 111111111111111 (a trivial repetition code ).
In a large, high-sided skillet over medium heat, melt butter. Add onion and 1/2 teaspoon salt and cook, stirring occasionally, until softened, about 7 minutes. Add tomato paste and cook, stirring ...