diff --git a/src/Renci.SshNet.Tests/Classes/Security/Cryptography/RsaDigitalSignatureTest.cs b/src/Renci.SshNet.Tests/Classes/Security/Cryptography/RsaDigitalSignatureTest.cs
index 93a76bbee..0c5c7eb02 100644
--- a/src/Renci.SshNet.Tests/Classes/Security/Cryptography/RsaDigitalSignatureTest.cs
+++ b/src/Renci.SshNet.Tests/Classes/Security/Cryptography/RsaDigitalSignatureTest.cs
@@ -1,4 +1,9 @@
-using Microsoft.VisualStudio.TestTools.UnitTesting;
+using System;
+using System.Security.Cryptography;
+using System.Text;
+
+using Microsoft.VisualStudio.TestTools.UnitTesting;
+
 using Renci.SshNet.Security;
 using Renci.SshNet.Security.Cryptography;
 using Renci.SshNet.Tests.Common;
@@ -11,17 +16,156 @@ namespace Renci.SshNet.Tests.Classes.Security.Cryptography
     [TestClass]
     public class RsaDigitalSignatureTest : TestBase
     {
+        [TestMethod]
+        public void Sha1_SignAndVerify()
+        {
+            byte[] data = Encoding.UTF8.GetBytes("hello world");
+
+            RsaKey rsaKey = GetRsaKey();
+
+            var digitalSignature = new RsaDigitalSignature(rsaKey); // Verify SHA-1 is the default
+
+            byte[] signedBytes = digitalSignature.Sign(data);
+
+            byte[] expectedSignedBytes = new byte[]
+            {
+                // echo -n 'hello world' | openssl dgst -sha1 -sign Key.RSA.txt -out test.signed
+                0x41, 0x50, 0x12, 0x14, 0xd3, 0x7c, 0xe0, 0x40, 0x50, 0x65, 0xfb, 0x33, 0xd9, 0x17, 0x89, 0xbf,
+                0xb2, 0x4b, 0x85, 0x15, 0xbf, 0x9e, 0x57, 0x3b, 0x01, 0x15, 0x2b, 0x99, 0xfa, 0x62, 0x9b, 0x2a,
+                0x05, 0xa0, 0x73, 0xc7, 0xb7, 0x5b, 0xd9, 0x01, 0xaa, 0x56, 0x73, 0x95, 0x13, 0x41, 0x33, 0x0d,
+                0x7f, 0x83, 0x8a, 0x60, 0x4d, 0x19, 0xdc, 0x9b, 0xba, 0x8e, 0x61, 0xed, 0xd0, 0x8a, 0x3e, 0x38,
+                0x71, 0xee, 0x34, 0xc3, 0x55, 0x0f, 0x55, 0x65, 0x89, 0xbb, 0x3e, 0x41, 0xee, 0xdf, 0xf5, 0x2f,
+                0xab, 0x9e, 0x89, 0x37, 0x68, 0x1f, 0x9f, 0x38, 0x00, 0x81, 0x29, 0x93, 0xeb, 0x61, 0x37, 0xad,
+                0x8d, 0x35, 0xf1, 0x3d, 0x4b, 0x9b, 0x99, 0x74, 0x7b, 0xeb, 0xf4, 0xfb, 0x76, 0xb4, 0xb6, 0xb4,
+                0x09, 0x33, 0x5c, 0xfa, 0x6a, 0xad, 0x1e, 0xed, 0x1c, 0xe1, 0xb4, 0x4d, 0xf2, 0xa5, 0xc3, 0x64,
+                0x9a, 0x45, 0x81, 0xee, 0x1b, 0xa6, 0x1d, 0x01, 0x3c, 0x4d, 0xb5, 0x62, 0x9e, 0xff, 0x8e, 0xff,
+                0x6c, 0x18, 0xed, 0xe9, 0x8e, 0x03, 0x2c, 0xc5, 0x94, 0x81, 0xca, 0x8b, 0x18, 0x3f, 0x25, 0xcd,
+                0xe5, 0x42, 0x49, 0x43, 0x23, 0x1f, 0xdc, 0x3f, 0xa2, 0x43, 0xbc, 0xbd, 0x42, 0xf5, 0x60, 0xfb,
+                0x01, 0xd3, 0x67, 0x0d, 0x8d, 0x85, 0x7b, 0x51, 0x14, 0xec, 0x26, 0x53, 0x00, 0x61, 0x25, 0x16,
+                0x19, 0x10, 0x3c, 0x86, 0x16, 0x59, 0x84, 0x08, 0xd1, 0xf9, 0x1e, 0x05, 0x88, 0xbd, 0x4a, 0x01,
+                0x43, 0x4e, 0xec, 0x76, 0x0b, 0xd7, 0x2c, 0xe9, 0x98, 0xb1, 0x4c, 0x0a, 0x13, 0xc6, 0x95, 0xf9,
+                0x8f, 0x95, 0x5c, 0x98, 0x4c, 0x8f, 0x97, 0x4a, 0xad, 0x0d, 0xfe, 0x84, 0xf0, 0x56, 0xc3, 0x29,
+                0x73, 0x75, 0x55, 0x3c, 0xd9, 0x5e, 0x5b, 0x6f, 0xf9, 0x81, 0xbc, 0xbc, 0x50, 0x75, 0x7d, 0xa8
+            };
+
+            CollectionAssert.AreEqual(expectedSignedBytes, signedBytes);
+
+            // Also verify RsaKey uses SHA-1 by default
+            CollectionAssert.AreEqual(expectedSignedBytes, rsaKey.Sign(data));
+
+            // The following fails due to the _isPrivate decision in RsaCipher.Transform. Is that really correct?
+            //Assert.IsTrue(digitalSignature.Verify(data, signedBytes));
+
+            // 'Workaround': use a key with no private key information
+            var digitalSignaturePublic = new RsaDigitalSignature(new RsaKey()
+            {
+                Public = rsaKey.Public
+            });
+            Assert.IsTrue(digitalSignaturePublic.Verify(data, signedBytes));
+        }
 
-        /// <summary>
-        ///A test for RsaDigitalSignature Constructor
-        ///</summary>
         [TestMethod]
-        [Ignore] // placeholder for actual test
-        public void RsaDigitalSignatureConstructorTest()
+        public void Sha256_SignAndVerify()
         {
-            RsaKey rsaKey = null; // TODO: Initialize to an appropriate value
-            RsaDigitalSignature target = new RsaDigitalSignature(rsaKey);
-            Assert.Inconclusive("TODO: Implement code to verify target");
+            byte[] data = Encoding.UTF8.GetBytes("hello world");
+
+            RsaKey rsaKey = GetRsaKey();
+
+            var digitalSignature = new RsaDigitalSignature(rsaKey, HashAlgorithmName.SHA256);
+
+            byte[] signedBytes = digitalSignature.Sign(data);
+
+            CollectionAssert.AreEqual(new byte[]
+            {
+                // echo -n 'hello world' | openssl dgst -sha256 -sign Key.RSA.txt -out test.signed
+                0x2e, 0xef, 0x01, 0x49, 0x5c, 0x66, 0x37, 0x56, 0xc2, 0xfb, 0x7b, 0xfa, 0x80, 0x2f, 0xdb, 0xaa,
+                0x0d, 0x15, 0xd9, 0x8d, 0xa9, 0xad, 0x81, 0x4f, 0x09, 0x2e, 0x53, 0x9e, 0xce, 0x5d, 0x68, 0x07,
+                0xae, 0xb9, 0xc0, 0x45, 0xfa, 0x30, 0xd0, 0xf7, 0xd6, 0xa6, 0x8d, 0x19, 0x24, 0x3a, 0xea, 0x91,
+                0x3e, 0xa2, 0x4a, 0x42, 0x2e, 0x21, 0xf1, 0x48, 0x57, 0xca, 0x2b, 0x6c, 0x9f, 0x79, 0x54, 0x91,
+                0x3e, 0x3a, 0x4d, 0xd1, 0x70, 0x87, 0x3d, 0xbe, 0x22, 0x97, 0xc9, 0xb0, 0x02, 0xf0, 0xa2, 0xae,
+                0x7a, 0xbb, 0x8b, 0xaf, 0xc0, 0x3b, 0xab, 0x71, 0xe8, 0x29, 0x1c, 0x18, 0x88, 0xca, 0x74, 0x1b,
+                0x34, 0x4f, 0xd1, 0x83, 0x39, 0x6e, 0x8f, 0x69, 0x3d, 0x7e, 0xef, 0xef, 0x57, 0x7c, 0xff, 0x21,
+                0x9c, 0x10, 0x2b, 0xd1, 0x4f, 0x26, 0xbe, 0xaa, 0xd2, 0xd9, 0x03, 0x14, 0x75, 0x97, 0x11, 0xaf,
+                0xf0, 0x28, 0xf2, 0xd3, 0x07, 0x79, 0x5b, 0x27, 0xdc, 0x97, 0xd8, 0xce, 0x4e, 0x78, 0x89, 0x16,
+                0x91, 0x2a, 0xb2, 0x47, 0x53, 0x94, 0xe9, 0xa1, 0x15, 0x98, 0x29, 0x0c, 0xa1, 0xf5, 0xe2, 0x8e,
+                0x11, 0xdc, 0x0c, 0x1c, 0x10, 0xa4, 0xf2, 0x46, 0x5c, 0x78, 0x0c, 0xc1, 0x4a, 0x65, 0x21, 0x8a,
+                0x2e, 0x32, 0x6c, 0x72, 0x06, 0xf9, 0x7f, 0xa1, 0x6c, 0x2e, 0x13, 0x06, 0x41, 0xaa, 0x23, 0xdd,
+                0xc8, 0x1c, 0x61, 0xb6, 0x96, 0x87, 0xc4, 0x84, 0xc8, 0x61, 0xec, 0x4e, 0xdd, 0x49, 0x9e, 0x4f,
+                0x0d, 0x8c, 0xf1, 0x7f, 0xf2, 0x6c, 0x73, 0x5a, 0xa6, 0x3b, 0xbf, 0x4e, 0xba, 0x57, 0x6b, 0xb3,
+                0x1e, 0x6c, 0x57, 0x76, 0x87, 0x9f, 0xb4, 0x3b, 0xcb, 0xcd, 0xe5, 0x10, 0x7a, 0x4c, 0xeb, 0xc0,
+                0xc4, 0xc3, 0x75, 0x51, 0x5f, 0xb7, 0x7c, 0xbc, 0x55, 0x8d, 0x05, 0xc7, 0xed, 0xc7, 0x52, 0x4a
+            }, signedBytes);
+
+
+            // The following fails due to the _isPrivate decision in RsaCipher.Transform. Is that really correct?
+            //Assert.IsTrue(digitalSignature.Verify(data, signedBytes));
+
+            // 'Workaround': use a key with no private key information
+            var digitalSignaturePublic = new RsaDigitalSignature(new RsaKey()
+            {
+                Public = rsaKey.Public
+            }, HashAlgorithmName.SHA256);
+            Assert.IsTrue(digitalSignaturePublic.Verify(data, signedBytes));
+        }
+
+        [TestMethod]
+        public void Sha512_SignAndVerify()
+        {
+            byte[] data = Encoding.UTF8.GetBytes("hello world");
+
+            RsaKey rsaKey = GetRsaKey();
+
+            var digitalSignature = new RsaDigitalSignature(rsaKey, HashAlgorithmName.SHA512);
+
+            byte[] signedBytes = digitalSignature.Sign(data);
+
+            CollectionAssert.AreEqual(new byte[]
+            {
+                // echo -n 'hello world' | openssl dgst -sha512 -sign Key.RSA.txt -out test.signed
+                0x69, 0x70, 0xb5, 0x9f, 0x32, 0x86, 0x3b, 0xae, 0xc0, 0x79, 0x6e, 0xdb, 0x35, 0xd5, 0xa6, 0x22,
+                0xcd, 0x2b, 0x4b, 0xd2, 0x68, 0x1a, 0x65, 0x41, 0xa6, 0xd9, 0x20, 0x54, 0x31, 0x9a, 0xb1, 0x44,
+                0x6e, 0x8f, 0x56, 0x4b, 0xfc, 0x27, 0x7f, 0x3f, 0xe7, 0x47, 0xcb, 0x78, 0x03, 0x05, 0x79, 0x8a,
+                0x16, 0x7b, 0x12, 0x01, 0x3a, 0xa2, 0xd5, 0x0d, 0x2b, 0x16, 0x38, 0xef, 0x84, 0x6b, 0xd7, 0x19,
+                0xeb, 0xac, 0x54, 0x01, 0x9d, 0xa6, 0x80, 0x74, 0x43, 0xa8, 0x6e, 0x5e, 0x33, 0x05, 0x06, 0x1d,
+                0x6d, 0xfe, 0x32, 0x4f, 0xe3, 0xcb, 0x3e, 0x2d, 0x4e, 0xe1, 0x47, 0x03, 0x69, 0xb4, 0x59, 0x80,
+                0x59, 0x05, 0x15, 0xa0, 0x11, 0x34, 0x47, 0x58, 0xd7, 0x93, 0x2d, 0x40, 0xf2, 0x2c, 0x37, 0x48,
+                0x6b, 0x3c, 0xd3, 0x03, 0x09, 0x32, 0x74, 0xa0, 0x2d, 0x33, 0x11, 0x99, 0x10, 0xb4, 0x09, 0x31,
+                0xec, 0xa3, 0x2c, 0x63, 0xba, 0x50, 0xd1, 0x02, 0x45, 0xae, 0xb5, 0x75, 0x7e, 0xfa, 0xfc, 0x06,
+                0xb6, 0x6a, 0xb2, 0xa1, 0x73, 0x14, 0xa5, 0xaa, 0x17, 0x88, 0x03, 0x19, 0x14, 0x9b, 0xe1, 0x10,
+                0xf8, 0x2f, 0x73, 0x01, 0xc7, 0x8d, 0x37, 0xef, 0x98, 0x69, 0xc2, 0xe2, 0x7a, 0x11, 0xd5, 0xb8,
+                0xc9, 0x35, 0x45, 0xcb, 0x56, 0x4b, 0x92, 0x4a, 0xe0, 0x4c, 0xd6, 0x82, 0xae, 0xad, 0x5b, 0xe9,
+                0x40, 0x7e, 0x2a, 0x48, 0x7d, 0x57, 0xc5, 0xfd, 0xe9, 0x98, 0xe0, 0xbb, 0x09, 0xa1, 0xf5, 0x48,
+                0x45, 0xcb, 0xee, 0xb9, 0x99, 0x81, 0x44, 0x15, 0x2e, 0x50, 0x39, 0x64, 0x58, 0x4c, 0x34, 0x86,
+                0xf8, 0x81, 0x9e, 0x1d, 0xb6, 0x97, 0xe0, 0xce, 0x16, 0xca, 0x20, 0x46, 0xe9, 0x49, 0x8f, 0xe6,
+                0xa0, 0x23, 0x08, 0x80, 0xa6, 0x37, 0x70, 0x06, 0xcc, 0x8f, 0xf4, 0xa0, 0x74, 0x53, 0x26, 0x38
+            }, signedBytes);
+
+            // The following fails due to the _isPrivate decision in RsaCipher.Transform. Is that really correct?
+            //Assert.IsTrue(digitalSignature.Verify(data, signedBytes));
+
+            // 'Workaround': use a key with no private key information
+            var digitalSignaturePublic = new RsaDigitalSignature(new RsaKey()
+            {
+                Public = rsaKey.Public
+            }, HashAlgorithmName.SHA512);
+            Assert.IsTrue(digitalSignaturePublic.Verify(data, signedBytes));
+        }
+
+        [TestMethod]
+        public void Constructor_InvalidHashAlgorithm_ThrowsArgumentException()
+        {
+            ArgumentException exception = Assert.ThrowsException<ArgumentException>(
+                () => new RsaDigitalSignature(new RsaKey(), new HashAlgorithmName("invalid")));
+
+            Assert.AreEqual("hashAlgorithmName", exception.ParamName);
+        }
+
+        private static RsaKey GetRsaKey()
+        {
+            using (var stream = GetData("Key.RSA.txt"))
+            {
+                return (RsaKey) ((KeyHostAlgorithm) new PrivateKeyFile(stream).HostKey).Key;
+            }
         }
 
         /// <summary>
@@ -37,4 +181,4 @@ public void DisposeTest()
             Assert.Inconclusive("A method that does not return a value cannot be verified.");
         }
     }
-}
\ No newline at end of file
+}
diff --git a/src/Renci.SshNet.Tests/Common/TestBase.cs b/src/Renci.SshNet.Tests/Common/TestBase.cs
index 4ae86fb41..5973aa4a3 100644
--- a/src/Renci.SshNet.Tests/Common/TestBase.cs
+++ b/src/Renci.SshNet.Tests/Common/TestBase.cs
@@ -49,9 +49,9 @@ protected void CreateTestFile(string fileName, int size)
             }
         }
 
-        protected Stream GetData(string name)
+        protected static Stream GetData(string name)
         {
             return ExecutingAssembly.GetManifestResourceStream(string.Format("Renci.SshNet.Tests.Data.{0}", name));
         }
     }
-}
\ No newline at end of file
+}
diff --git a/src/Renci.SshNet/Common/ObjectIdentifier.cs b/src/Renci.SshNet/Common/ObjectIdentifier.cs
index f1b2d88df..a02a40908 100644
--- a/src/Renci.SshNet/Common/ObjectIdentifier.cs
+++ b/src/Renci.SshNet/Common/ObjectIdentifier.cs
@@ -1,4 +1,6 @@
 using System;
+using System.Linq;
+using System.Security.Cryptography;
 
 namespace Renci.SshNet.Common
 {
@@ -32,5 +34,19 @@ public ObjectIdentifier(params ulong[] identifiers)
 
             Identifiers = identifiers;
         }
+
+        internal static ObjectIdentifier FromHashAlgorithmName(HashAlgorithmName hashAlgorithmName)
+        {
+            var oid = CryptoConfig.MapNameToOID(hashAlgorithmName.Name);
+
+            if (oid is null)
+            {
+                throw new ArgumentException($"Could not map `{hashAlgorithmName}` to OID.", nameof(hashAlgorithmName));
+            }
+
+            var identifiers = oid.Split('.').Select(ulong.Parse).ToArray();
+
+            return new ObjectIdentifier(identifiers);
+        }
     }
 }
diff --git a/src/Renci.SshNet/Security/Cryptography/RsaDigitalSignature.cs b/src/Renci.SshNet/Security/Cryptography/RsaDigitalSignature.cs
index 9af398b46..790a0da64 100644
--- a/src/Renci.SshNet/Security/Cryptography/RsaDigitalSignature.cs
+++ b/src/Renci.SshNet/Security/Cryptography/RsaDigitalSignature.cs
@@ -1,6 +1,5 @@
 using System;
 using System.Security.Cryptography;
-using Renci.SshNet.Abstractions;
 using Renci.SshNet.Common;
 using Renci.SshNet.Security.Cryptography.Ciphers;
 
@@ -14,13 +13,23 @@ public class RsaDigitalSignature : CipherDigitalSignature, IDisposable
         private HashAlgorithm _hash;
 
         /// <summary>
-        /// Initializes a new instance of the <see cref="RsaDigitalSignature"/> class.
+        /// Initializes a new instance of the <see cref="RsaDigitalSignature"/> class with the SHA-1 hash algorithm.
         /// </summary>
         /// <param name="rsaKey">The RSA key.</param>
         public RsaDigitalSignature(RsaKey rsaKey)
-            : base(new ObjectIdentifier(1, 3, 14, 3, 2, 26), new RsaCipher(rsaKey))
+            : this(rsaKey, HashAlgorithmName.SHA1)
+        { }
+
+        /// <summary>
+        /// Initializes a new instance of the <see cref="RsaDigitalSignature"/> class.
+        /// </summary>
+        /// <param name="rsaKey">The RSA key.</param>
+        /// <param name="hashAlgorithmName">The hash algorithm to use in the digital signature.</param>
+        public RsaDigitalSignature(RsaKey rsaKey, HashAlgorithmName hashAlgorithmName)
+            : base(ObjectIdentifier.FromHashAlgorithmName(hashAlgorithmName), new RsaCipher(rsaKey))
         {
-            _hash = CryptoAbstraction.CreateSHA1();
+            _hash = CryptoConfig.CreateFromName(hashAlgorithmName.Name) as HashAlgorithm
+                ?? throw new ArgumentException($"Could not create {nameof(HashAlgorithm)} from `{hashAlgorithmName}`.", nameof(hashAlgorithmName));
         }
 
         /// <summary>