IDX10632: SymmetricSecurityKey.GetKeyedHashAlgorithm( 'HS512' ) threw an exception when validating JWT using HS512 ALGO

I'm using the NuGet package System.IdentityModel.Tokens.Jwt version 4.0.4.403061554.

I have an implementation that validates a JWT and it works fine for algo HS256.

However if I change my JWT to be generated using algo HS512 then I receive an error during validation.

System.IdentityModel.SignatureVerificationFailedException
  HResult=0x80131501
  Message=IDX10503: Signature validation failed. Keys tried: 'System.IdentityModel.Tokens.InMemorySymmetricSecurityKey
'.
Exceptions caught:
 'System.InvalidOperationException: IDX10632: SymmetricSecurityKey.GetKeyedHashAlgorithm( 'HS512' ) threw an exception.
SymmetricSecurityKey: 'System.IdentityModel.Tokens.InMemorySymmetricSecurityKey'
SignatureAlgorithm: 'HS512', check to make sure the SignatureAlgorithm is supported.

I've tried to generate 512 bit keys, I've also tried smaller keys like 256 bit keys (the ones that work with algo HS256) but nothing works.

My implementation is this:

                    InMemorySymmetricSecurityKey signingKey = new InMemorySymmetricSecurityKey(Encoding.UTF8.GetBytes("secretsigningkey"));
                    TokenValidationParameters tokenValidationParameters = new TokenValidationParameters()
                    {
                        ValidAudiences = validAudiences,
                        ValidIssuers = validIssuers,
                        IssuerSigningKey = signingKey
                    };
                    JwtSecurityTokenHandler tokenHandler = new JwtSecurityTokenHandler();
                    var claimsPrincipal = tokenHandler.ValidateToken(token, tokenValidationParameters, out SecurityToken validatedToken);

and the exception is thrown by this method tokenHandler.ValidateToken.

How can I change my code to allow for HS512 (and any other type of JWT supported algos)??

1. According to this MSDN document, SecurityAlgorithms doesn't support validating HS512 algorithm.

2. Install the jwt decode/validation library : JWT and it's project site: https://github.com/jwt-dotnet/jwt

PM> Install-Package JWT -Version 7.2.1

3. Use the JWT official document and modify your sample code by using HS512 algorithm, it will be like this:

try
{
    IJsonSerializer serializer = new JsonNetSerializer();
    var provider = new UtcDateTimeProvider();
    IJwtValidator validator = new JwtValidator(serializer, provider);
    IBase64UrlEncoder urlEncoder = new JwtBase64UrlEncoder();
    IJwtAlgorithm algorithm = new HMACSHA512Algorithm();
    IJwtDecoder decoder = new JwtDecoder(serializer, validator, urlEncoder, algorithm);

    json = decoder.Decode(token, "secretsigningkey", verify: true);
    Console.WriteLine(json);
}
catch (TokenExpiredException)
{
    Console.WriteLine("Token has expired");
}
catch (SignatureVerificationException)
{
    Console.WriteLine("Token has invalid signature");
}
catch (Exception ex)
{
    Console.WriteLine("Other exception: " + ex.Message);
}