帮我写一段带输出的NTRU数字签名的MATLAB代码

好的，以下是带输出的NTRU数字签名的MATLAB代码：

% Key Generation
p = 3; % Degree of polynomial
q = 64; % Modulus
n = 701; % Length of polynomial
f = 2; % Number of factors
g = 2; % Structure of factors

% Generate random polynomial f
F = ntru_rand_tern(n, p, f, g);

% Generate invertible polynomial h
while true
H = ntru_rand_tern(n, p, f, g);
if isequal(gcd(F, H), 1)
break;
end
end

% Compute modulo inverse of h
Hinv = modinv(H, q);

% Public key
PublicKey = (H * modpow(F, q-2, q)) mod q;

% Private key
PrivateKey.f = F;
PrivateKey.hinv = Hinv;

% Signing
message = 'Hello, World!';
h = ntru_hash(message, n);
m = ntru_pad(h, p, n);
r = ntru_rand_tern(n, p, f, g);
e = (m - (r * PublicKey)) mod q;
Signature = [e; r];

% Verification
h = ntru_hash(message, n);
m = ntru_pad(h, p, n);
e = Signature(1);
r = Signature(2:end);
v1 = (e * Hinv) mod q;
v2 = (modpow(PublicKey, r, q) * modpow(modinv(v1, q), m, q)) mod q;
if isequal(v2, modpow(gcd(PublicKey, H), 1, q)) % accept signature
disp('Signature is valid');
else % reject signature
disp('Signature is invalid');
end