coding theory - Binary Code Generator Matrix (20, 10 or 11 ...
2020年10月8日 · According to this page, there should be a code of length 20 with hamming distance 6 and between 2048-2279 codewords (or in other words, that contains at least …
combinatorics - Generator matrix of a binary cyclic code
2014年12月2日 · I need to find the Generator and Parity check matrix of a binary cyclic [9,2] code. If I calculated right, the Generator polynomial is x^7 + x^6 + x^4 + x^3 + x + 1 and the check …
information theory - Generator matrix for linear $[8,5,3]$-code ...
2018年4月11日 · Consider the binary linear $(13, 64, 5)$-code $C_3$, or a $[13, 6, 5]$-code. Then, let $M$ be the generator matrix for $C_3$, such that we can rearrange the ...
Efficient computation of the minimum distance of a binary linear …
As pointed out by Snowball, the problem is inherently hard, see here and also here.. However, it can be done much faster in general than generating all the codewords.
Finding a standard generator matrix given a binary code
My question is how do I find the standard generator matrix of a binary [7,6,2] code? From what I ...
matrices - Finding generator matrix for binary linear code given …
2015年10月21日 · Finding generator matrix for binary linear code given parity check matrix. Ask Question Asked 9 years, ...
coding theory - Given binary codewords find generator matrix ...
2016年6月18日 · Given a set $\mathcal{C}$ of codewords, before we can construct a generator matrix, we need to verify that $\mathcal{C}$ is a linear subspace - ie, the sum (and also scalar …
Generator matrix of a binary Goppa code - Mathematics Stack …
2017年5月14日 · Generator matrix of a binary Goppa code. Ask Question Asked 7 years, 7 months ago. Modified 5 years, 6 ...
Finding the parity check matrix for $(15, 11)$ Hamming Codes
2013年4月12日 · For example a generator matrix of a binary Simplex code of dimension $4$ is given by $$\begin{pmatrix} 1 ...
Why the minimum distance of a binary code of length
2020年1月22日 · Binary Code Generator Matrix (20, 10 or 11) 1. Is the minimum distance of a linear code equal to the ...