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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]
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Matrix digital rain, or Matrix code, is the computer code featured in the “Ghost in the shell” and the Matrix series. The falling green code is a way of representing the activity of the simulated reality environment of the Matrix on screen by kinetic typography. All four Matrix movies, as well as the spin-off The Animatrix episodes, open ...
In coding theory, the dual code of a linear code. is the linear code defined by. where. is a scalar product. In linear algebra terms, the dual code is the annihilator of C with respect to the bilinear form . The dimension of C and its dual always add up to the length n : A generator matrix for the dual code is the parity-check matrix for the ...
Srinagar Office: Sher-i-Kashmir Stadium, Srinagar. Jammu and Kashmir Cricket Association ( JKCA) is an organisation that governs and manages cricket in the Indian union territory of Jammu and Kashmir. [ 1] It fields the Jammu and Kashmir cricket team in the Ranji Trophy domestic tournament. [ 1] It is a member of the Board of Control for ...
1. Official website. Website. Bourne Cricket Club, is an amateur cricket club based in Bourne, Lincolnshire, England. Bourne’s 1st XI Team play in the ECB Lincolnshire County Board Premier League, [ 1] the 2nd XI compete in the South Lincs & Border League. [ 2] Bourne also field a Sunday XI team in the Rutland and District Cricket League, [ 3 ...