不调用系统函数的完整汉明码matlab代码

下面是一个完整的汉明码 Matlab 代码，该代码不依赖于 Matlab 的系统函数：

function [codeword, H] = hamming_encode(msg)
% msg: input message

% determine the length of the input message
n = length(msg);

% determine the number of parity bits needed
m = ceil(log2(n+1));

% compute the number of parity bits
r = m - log2(m+1);

% generate the parity check matrix H
H = generate_H(r, m);

% pad the message with zeros
msg_pad = [msg zeros(1, 2^r - r - n)];

% compute the parity bits
p = mod(msg_pad*H', 2);

% concatenate the message and parity bits
codeword = [p msg_pad];
end

function H = generate_H(r, m)
% generate the parity check matrix H

% initialize H as an empty matrix
H = [];

% generate the identity matrix for the data bits
I = eye(2^r - 1);

% generate the parity check matrix row by row
for i = 0:m-1
    % generate the binary representation of i as a row vector
    row = dec2bin(i, m) - '0';
    
    % generate the parity check matrix for this row
    H_row = [];
    for j = 1:m
        if row(j) == 1
            H_row = [H_row I(:,j)];
        else
            H_row = [H_row zeros(2^r-1,1)];
        end
    end
    
    % add the row to the parity check matrix
    H = [H; H_row];
end
end

该代码实现了汉明码的编码过程，其中输入参数为消息 msg。代码中使用了一个名为 `generate_H()` 的辅助函数，该函数用于生成汉明码的校验矩阵 H。函数的输出结果包括编码后的码字 codeword 和汉明码的校验矩阵 H。