diff --git a/lib/internal/crypto/aes.js b/lib/internal/crypto/aes.js
index 2c74a49139a70a..324662e1f8b1b4 100644
--- a/lib/internal/crypto/aes.js
+++ b/lib/internal/crypto/aes.js
@@ -230,13 +230,17 @@ async function aesGenerateKey(algorithm, extractable, keyUsages) {
   validateInteger(length, 'algorithm.length');
   validateOneOf(length, 'algorithm.length', kAesKeyLengths);
 
-  const usageSet = new SafeSet(keyUsages);
+  const checkUsages = ['wrapKey', 'unwrapKey'];
+  if (name !== 'AES-KW')
+    ArrayPrototypePush(checkUsages, 'encrypt', 'decrypt');
 
-  if (hasAnyNotIn(usageSet, ['encrypt', 'decrypt', 'wrapKey', 'unwrapKey'])) {
+  const usagesSet = new SafeSet(keyUsages);
+  if (hasAnyNotIn(usagesSet, checkUsages)) {
     throw lazyDOMException(
       'Unsupported key usage for an AES key',
       'SyntaxError');
   }
+
   return new Promise((resolve, reject) => {
     generateKey('aes', { length }, (err, key) => {
       if (err) {
@@ -249,7 +253,7 @@ async function aesGenerateKey(algorithm, extractable, keyUsages) {
       resolve(new InternalCryptoKey(
         key,
         { name, length },
-        ArrayFrom(usageSet),
+        ArrayFrom(usagesSet),
         extractable));
     });
   });
diff --git a/lib/internal/crypto/diffiehellman.js b/lib/internal/crypto/diffiehellman.js
index 85f2be16007c74..036f661fad6be2 100644
--- a/lib/internal/crypto/diffiehellman.js
+++ b/lib/internal/crypto/diffiehellman.js
@@ -3,7 +3,7 @@
 const {
   ArrayBufferPrototypeSlice,
   FunctionPrototypeCall,
-  MathFloor,
+  MathCeil,
   ObjectDefineProperty,
   Promise,
   SafeSet,
@@ -386,9 +386,9 @@ async function asyncDeriveBitsECDH(algorithm, baseKey, length) {
   if (length === null)
     return bits;
 
-  // If the length is not a multiple of 8, it will be truncated
-  // down to the nearest multiple of 8.
-  length = MathFloor(length / 8);
+  // If the length is not a multiple of 8 the nearest ceiled
+  // multiple of 8 is sliced.
+  length = MathCeil(length / 8);
   const { byteLength } = bits;
 
   // If the length is larger than the derived secret, throw.
diff --git a/lib/internal/crypto/hash.js b/lib/internal/crypto/hash.js
index 6c502f52b66503..956053af0a8c2c 100644
--- a/lib/internal/crypto/hash.js
+++ b/lib/internal/crypto/hash.js
@@ -28,6 +28,10 @@ const {
   prepareSecretKey,
 } = require('internal/crypto/keys');
 
+const {
+  lazyDOMException,
+} = require('internal/util');
+
 const {
   Buffer,
 } = require('buffer');
@@ -171,11 +175,22 @@ async function asyncDigest(algorithm, data) {
   if (algorithm.length !== undefined)
     validateUint32(algorithm.length, 'algorithm.length');
 
-  return jobPromise(new HashJob(
-    kCryptoJobAsync,
-    normalizeHashName(algorithm.name),
-    data,
-    algorithm.length));
+  switch (algorithm.name) {
+    case 'SHA-1':
+      // Fall through
+    case 'SHA-256':
+      // Fall through
+    case 'SHA-384':
+      // Fall through
+    case 'SHA-512':
+      return jobPromise(new HashJob(
+        kCryptoJobAsync,
+        normalizeHashName(algorithm.name),
+        data,
+        algorithm.length));
+  }
+
+  throw lazyDOMException('Unrecognized name.', 'NotSupportedError');
 }
 
 module.exports = {
diff --git a/lib/internal/crypto/rsa.js b/lib/internal/crypto/rsa.js
index 27b5803db4f77d..728e4bd951cdc5 100644
--- a/lib/internal/crypto/rsa.js
+++ b/lib/internal/crypto/rsa.js
@@ -176,7 +176,7 @@ async function rsaKeyGenerate(
   return new Promise((resolve, reject) => {
     generateKeyPair('rsa', {
       modulusLength,
-      publicExponentConverted,
+      publicExponent: publicExponentConverted,
     }, (err, pubKey, privKey) => {
       if (err) {
         return reject(lazyDOMException(
diff --git a/lib/internal/crypto/webcrypto.js b/lib/internal/crypto/webcrypto.js
index a5f442b0e57cfb..dc2e94aae7770e 100644
--- a/lib/internal/crypto/webcrypto.js
+++ b/lib/internal/crypto/webcrypto.js
@@ -89,6 +89,11 @@ async function generateKey(
   algorithm = normalizeAlgorithm(algorithm);
   validateBoolean(extractable, 'extractable');
   validateArray(keyUsages, 'keyUsages');
+  if (keyUsages.length === 0) {
+    throw lazyDOMException(
+      'Usages cannot be empty when creating a key',
+      'SyntaxError');
+  }
   switch (algorithm.name) {
     case 'RSASSA-PKCS1-v1_5':
       // Fall through
diff --git a/test/parallel/test-webcrypto-derivebits-cfrg.js b/test/parallel/test-webcrypto-derivebits-cfrg.js
index ff3e4ef7de5470..2233d1a2d274c7 100644
--- a/test/parallel/test-webcrypto-derivebits-cfrg.js
+++ b/test/parallel/test-webcrypto-derivebits-cfrg.js
@@ -133,7 +133,7 @@ async function prepareKeys() {
 
         assert.strictEqual(
           Buffer.from(bits).toString('hex'),
-          result.slice(0, -4));
+          result.slice(0, -2));
       }
     }));
 
diff --git a/test/parallel/test-webcrypto-derivebits-ecdh.js b/test/parallel/test-webcrypto-derivebits-ecdh.js
index de19ac1cd4e415..826b591d37ca65 100644
--- a/test/parallel/test-webcrypto-derivebits-ecdh.js
+++ b/test/parallel/test-webcrypto-derivebits-ecdh.js
@@ -154,7 +154,7 @@ async function prepareKeys() {
 
         assert.strictEqual(
           Buffer.from(bits).toString('hex'),
-          result.slice(0, -4));
+          result.slice(0, -2));
       }
     }));
 
diff --git a/test/parallel/test-webcrypto-digest.js b/test/parallel/test-webcrypto-digest.js
index 78b12ea6a5574c..b8680564d1a1a3 100644
--- a/test/parallel/test-webcrypto-digest.js
+++ b/test/parallel/test-webcrypto-digest.js
@@ -168,3 +168,9 @@ async function testDigest(size, name) {
 
   await Promise.all(variations);
 })().then(common.mustCall());
+
+(async () => {
+  await assert.rejects(subtle.digest('RSA-OAEP', Buffer.alloc(1)), {
+    name: 'NotSupportedError',
+  });
+})().then(common.mustCall());
diff --git a/test/parallel/test-webcrypto-keygen.js b/test/parallel/test-webcrypto-keygen.js
index 948c755a9114bc..5d039fdf036344 100644
--- a/test/parallel/test-webcrypto-keygen.js
+++ b/test/parallel/test-webcrypto-keygen.js
@@ -1,3 +1,4 @@
+// Flags: --expose-internals
 'use strict';
 
 const common = require('../common');
@@ -10,8 +11,11 @@ const { types: { isCryptoKey } } = require('util');
 const {
   webcrypto: { subtle, CryptoKey },
   createSecretKey,
+  KeyObject,
 } = require('crypto');
 
+const { bigIntArrayToUnsignedBigInt } = require('internal/crypto/util');
+
 const allUsages = [
   'encrypt',
   'decrypt',
@@ -206,19 +210,30 @@ const vectors = {
 // Test bad usages
 {
   async function test(name) {
-    const invalidUsages = [];
-    allUsages.forEach((usage) => {
-      if (!vectors[name].usages.includes(usage))
-        invalidUsages.push(usage);
-    });
-    return assert.rejects(
+    await assert.rejects(
       subtle.generateKey(
         {
           name, ...vectors[name].algorithm
         },
         true,
-        invalidUsages),
-      { message: /Unsupported key usage/ });
+        []),
+      { message: /Usages cannot be empty/ });
+
+    const invalidUsages = [];
+    allUsages.forEach((usage) => {
+      if (!vectors[name].usages.includes(usage))
+        invalidUsages.push(usage);
+    });
+    for (const invalidUsage of invalidUsages) {
+      await assert.rejects(
+        subtle.generateKey(
+          {
+            name, ...vectors[name].algorithm
+          },
+          true,
+          [...vectors[name].usages, invalidUsage]),
+        { message: /Unsupported key usage/ });
+    }
   }
 
   const tests = Object.keys(vectors).map(test);
@@ -262,10 +277,16 @@ const vectors = {
     assert.strictEqual(publicKey.algorithm.name, name);
     assert.strictEqual(publicKey.algorithm.modulusLength, modulusLength);
     assert.deepStrictEqual(publicKey.algorithm.publicExponent, publicExponent);
+    assert.strictEqual(
+      KeyObject.from(publicKey).asymmetricKeyDetails.publicExponent,
+      bigIntArrayToUnsignedBigInt(publicExponent));
     assert.strictEqual(publicKey.algorithm.hash.name, hash);
     assert.strictEqual(privateKey.algorithm.name, name);
     assert.strictEqual(privateKey.algorithm.modulusLength, modulusLength);
     assert.deepStrictEqual(privateKey.algorithm.publicExponent, publicExponent);
+    assert.strictEqual(
+      KeyObject.from(privateKey).asymmetricKeyDetails.publicExponent,
+      bigIntArrayToUnsignedBigInt(publicExponent));
     assert.strictEqual(privateKey.algorithm.hash.name, hash);
 
     // Missing parameters
@@ -342,6 +363,17 @@ const vectors = {
         code: 'ERR_INVALID_ARG_TYPE'
       });
     }));
+
+    await Promise.all([[1], [1, 0, 0]].map((publicExponent) => {
+      return assert.rejects(subtle.generateKey({
+        name,
+        modulusLength,
+        publicExponent: new Uint8Array(publicExponent),
+        hash
+      }, true, usages), {
+        name: 'OperationError',
+      });
+    }));
   }
 
   const kTests = [
diff --git a/test/parallel/test-webcrypto-sign-verify-hmac.js b/test/parallel/test-webcrypto-sign-verify-hmac.js
index 3028816054ca76..0962773b132768 100644
--- a/test/parallel/test-webcrypto-sign-verify-hmac.js
+++ b/test/parallel/test-webcrypto-sign-verify-hmac.js
@@ -153,7 +153,7 @@ async function testSign({ hash,
   }
 
   await assert.rejects(
-    subtle.generateKey({ name }, false, []), {
+    subtle.generateKey({ name }, false, ['sign', 'verify']), {
       name: 'TypeError',
       code: 'ERR_MISSING_OPTION',
       message: 'algorithm.hash is required'