diff --git a/include/mbedtls/md.h b/include/mbedtls/md.h
index 5831e12d72..dde95c563c 100644
--- a/include/mbedtls/md.h
+++ b/include/mbedtls/md.h
@@ -467,8 +467,8 @@ const int *mbedtls_md_list(void);
 const mbedtls_md_info_t *mbedtls_md_info_from_string(const char *md_name);
 
 /**
- * \brief           This function extracts the message-digest name from the
- *                  message-digest information structure.
+ * \brief           This function returns the name of the message digest for
+ *                  the message-digest information structure given.
  *
  * \param md_info   The information structure of the message-digest algorithm
  *                  to use.
diff --git a/library/md.c b/library/md.c
index 3589d633ef..2cac50c715 100644
--- a/library/md.c
+++ b/library/md.c
@@ -76,102 +76,75 @@
 #error "Internal error: MBEDTLS_MD_MAX_SIZE < PSA_HASH_MAX_SIZE"
 #endif
 
+#if defined(MBEDTLS_MD_C)
+#define MD_INFO(type, out_size, block_size) type, out_size, block_size,
+#else
+#define MD_INFO(type, out_size, block_size) type, out_size,
+#endif
+
 #if defined(MBEDTLS_MD_CAN_MD5)
-const mbedtls_md_info_t mbedtls_md5_info = {
-    "MD5",
-    MBEDTLS_MD_MD5,
-    16,
-    64,
+static const mbedtls_md_info_t mbedtls_md5_info = {
+    MD_INFO(MBEDTLS_MD_MD5, 16, 64)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_RIPEMD160)
-const mbedtls_md_info_t mbedtls_ripemd160_info = {
-    "RIPEMD160",
-    MBEDTLS_MD_RIPEMD160,
-    20,
-    64,
+static const mbedtls_md_info_t mbedtls_ripemd160_info = {
+    MD_INFO(MBEDTLS_MD_RIPEMD160, 20, 64)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA1)
-const mbedtls_md_info_t mbedtls_sha1_info = {
-    "SHA1",
-    MBEDTLS_MD_SHA1,
-    20,
-    64,
+static const mbedtls_md_info_t mbedtls_sha1_info = {
+    MD_INFO(MBEDTLS_MD_SHA1, 20, 64)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA224)
-const mbedtls_md_info_t mbedtls_sha224_info = {
-    "SHA224",
-    MBEDTLS_MD_SHA224,
-    28,
-    64,
+static const mbedtls_md_info_t mbedtls_sha224_info = {
+    MD_INFO(MBEDTLS_MD_SHA224, 28, 64)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA256)
-const mbedtls_md_info_t mbedtls_sha256_info = {
-    "SHA256",
-    MBEDTLS_MD_SHA256,
-    32,
-    64,
+static const mbedtls_md_info_t mbedtls_sha256_info = {
+    MD_INFO(MBEDTLS_MD_SHA256, 32, 64)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA384)
-const mbedtls_md_info_t mbedtls_sha384_info = {
-    "SHA384",
-    MBEDTLS_MD_SHA384,
-    48,
-    128,
+static const mbedtls_md_info_t mbedtls_sha384_info = {
+    MD_INFO(MBEDTLS_MD_SHA384, 48, 128)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA512)
-const mbedtls_md_info_t mbedtls_sha512_info = {
-    "SHA512",
-    MBEDTLS_MD_SHA512,
-    64,
-    128,
+static const mbedtls_md_info_t mbedtls_sha512_info = {
+    MD_INFO(MBEDTLS_MD_SHA512, 64, 128)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA3_224)
-const mbedtls_md_info_t mbedtls_sha3_224_info = {
-    "SHA3-224",
-    MBEDTLS_MD_SHA3_224,
-    28,
-    144,
+static const mbedtls_md_info_t mbedtls_sha3_224_info = {
+    MD_INFO(MBEDTLS_MD_SHA3_224, 28, 144)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA3_256)
-const mbedtls_md_info_t mbedtls_sha3_256_info = {
-    "SHA3-256",
-    MBEDTLS_MD_SHA3_256,
-    32,
-    136,
+static const mbedtls_md_info_t mbedtls_sha3_256_info = {
+    MD_INFO(MBEDTLS_MD_SHA3_256, 32, 136)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA3_384)
-const mbedtls_md_info_t mbedtls_sha3_384_info = {
-    "SHA3-384",
-    MBEDTLS_MD_SHA3_384,
-    48,
-    104,
+static const mbedtls_md_info_t mbedtls_sha3_384_info = {
+    MD_INFO(MBEDTLS_MD_SHA3_384, 48, 104)
 };
 #endif
 
 #if defined(MBEDTLS_MD_CAN_SHA3_512)
-const mbedtls_md_info_t mbedtls_sha3_512_info = {
-    "SHA3-512",
-    MBEDTLS_MD_SHA3_512,
-    64,
-    72,
+static const mbedtls_md_info_t mbedtls_sha3_512_info = {
+    MD_INFO(MBEDTLS_MD_SHA3_512, 64, 72)
 };
 #endif
 
@@ -856,69 +829,77 @@ const int *mbedtls_md_list(void)
     return supported_digests;
 }
 
+typedef struct {
+    const char *md_name;
+    mbedtls_md_type_t md_type;
+} md_name_entry;
+
+static const md_name_entry md_names[] = {
+#if defined(MBEDTLS_MD_CAN_MD5)
+    { "MD5", MBEDTLS_MD_MD5 },
+#endif
+#if defined(MBEDTLS_MD_CAN_RIPEMD160)
+    { "RIPEMD160", MBEDTLS_MD_RIPEMD160 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA1)
+    { "SHA1", MBEDTLS_MD_SHA1 },
+    { "SHA", MBEDTLS_MD_SHA1 }, // compatibility fallback
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA224)
+    { "SHA224", MBEDTLS_MD_SHA224 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA256)
+    { "SHA256", MBEDTLS_MD_SHA256 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA384)
+    { "SHA384", MBEDTLS_MD_SHA384 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA512)
+    { "SHA512", MBEDTLS_MD_SHA512 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA3_224)
+    { "SHA3-224", MBEDTLS_MD_SHA3_224 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA3_256)
+    { "SHA3-256", MBEDTLS_MD_SHA3_256 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA3_384)
+    { "SHA3-384", MBEDTLS_MD_SHA3_384 },
+#endif
+#if defined(MBEDTLS_MD_CAN_SHA3_512)
+    { "SHA3-512", MBEDTLS_MD_SHA3_512 },
+#endif
+    { NULL, MBEDTLS_MD_NONE },
+};
+
 const mbedtls_md_info_t *mbedtls_md_info_from_string(const char *md_name)
 {
     if (NULL == md_name) {
         return NULL;
     }
 
-    /* Get the appropriate digest information */
-#if defined(MBEDTLS_MD_CAN_MD5)
-    if (!strcmp("MD5", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_MD5);
+    const md_name_entry *entry = md_names;
+    while (entry->md_name != NULL &&
+           strcmp(entry->md_name, md_name) != 0) {
+        ++entry;
     }
-#endif
-#if defined(MBEDTLS_MD_CAN_RIPEMD160)
-    if (!strcmp("RIPEMD160", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_RIPEMD160);
+
+    return mbedtls_md_info_from_type(entry->md_type);
+}
+
+const char *mbedtls_md_get_name(const mbedtls_md_info_t *md_info)
+{
+    if (md_info == NULL) {
+        return NULL;
     }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA1)
-    if (!strcmp("SHA1", md_name) || !strcmp("SHA", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA1);
+
+    const md_name_entry *entry = md_names;
+    while (entry->md_type != MBEDTLS_MD_NONE &&
+           entry->md_type != md_info->type) {
+        ++entry;
     }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA224)
-    if (!strcmp("SHA224", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA224);
-    }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA256)
-    if (!strcmp("SHA256", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA256);
-    }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA384)
-    if (!strcmp("SHA384", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA384);
-    }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA512)
-    if (!strcmp("SHA512", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA512);
-    }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA3_224)
-    if (!strcmp("SHA3-224", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA3_224);
-    }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA3_256)
-    if (!strcmp("SHA3-256", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA3_256);
-    }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA3_384)
-    if (!strcmp("SHA3-384", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA3_384);
-    }
-#endif
-#if defined(MBEDTLS_MD_CAN_SHA3_512)
-    if (!strcmp("SHA3-512", md_name)) {
-        return mbedtls_md_info_from_type(MBEDTLS_MD_SHA3_512);
-    }
-#endif
-    return NULL;
+
+    return entry->md_name;
 }
 
 const mbedtls_md_info_t *mbedtls_md_info_from_ctx(
@@ -1119,15 +1100,6 @@ cleanup:
     return ret;
 }
 
-const char *mbedtls_md_get_name(const mbedtls_md_info_t *md_info)
-{
-    if (md_info == NULL) {
-        return NULL;
-    }
-
-    return md_info->name;
-}
-
 #endif /* MBEDTLS_MD_C */
 
 #endif /* MBEDTLS_MD_LIGHT */
diff --git a/library/md_wrap.h b/library/md_wrap.h
index 5e1e327e7d..166b43b999 100644
--- a/library/md_wrap.h
+++ b/library/md_wrap.h
@@ -39,47 +39,18 @@ extern "C" {
  * Allows message digest functions to be called in a generic way.
  */
 struct mbedtls_md_info_t {
-    /** Name of the message digest */
-    const char *name;
-
     /** Digest identifier */
     mbedtls_md_type_t type;
 
     /** Output length of the digest function in bytes */
     unsigned char size;
 
+#if defined(MBEDTLS_MD_C)
     /** Block length of the digest function in bytes */
     unsigned char block_size;
+#endif
 };
 
-#if defined(MBEDTLS_MD5_C)
-extern const mbedtls_md_info_t mbedtls_md5_info;
-#endif
-#if defined(MBEDTLS_RIPEMD160_C)
-extern const mbedtls_md_info_t mbedtls_ripemd160_info;
-#endif
-#if defined(MBEDTLS_SHA1_C)
-extern const mbedtls_md_info_t mbedtls_sha1_info;
-#endif
-#if defined(MBEDTLS_SHA224_C)
-extern const mbedtls_md_info_t mbedtls_sha224_info;
-#endif
-#if defined(MBEDTLS_SHA256_C)
-extern const mbedtls_md_info_t mbedtls_sha256_info;
-#endif
-#if defined(MBEDTLS_SHA384_C)
-extern const mbedtls_md_info_t mbedtls_sha384_info;
-#endif
-#if defined(MBEDTLS_SHA512_C)
-extern const mbedtls_md_info_t mbedtls_sha512_info;
-#endif
-#if defined(MBEDTLS_SHA3_C)
-extern const mbedtls_md_info_t mbedtls_sha3_224_info;
-extern const mbedtls_md_info_t mbedtls_sha3_256_info;
-extern const mbedtls_md_info_t mbedtls_sha3_384_info;
-extern const mbedtls_md_info_t mbedtls_sha3_512_info;
-#endif
-
 #ifdef __cplusplus
 }
 #endif
diff --git a/library/psa_crypto.c b/library/psa_crypto.c
index c890e12b76..3244831b23 100644
--- a/library/psa_crypto.c
+++ b/library/psa_crypto.c
@@ -72,7 +72,6 @@
 #include "mbedtls/gcm.h"
 #include "mbedtls/md5.h"
 #include "mbedtls/md.h"
-#include "md_wrap.h"
 #include "mbedtls/pk.h"
 #include "pk_wrap.h"
 #include "mbedtls/platform_util.h"
diff --git a/library/psa_crypto_hash.h b/library/psa_crypto_hash.h
index d6bbd3feec..2dfb0115e8 100644
--- a/library/psa_crypto_hash.h
+++ b/library/psa_crypto_hash.h
@@ -23,8 +23,6 @@
 
 #include <psa/crypto.h>
 
-#include "md_wrap.h"
-
 /** Calculate the hash (digest) of a message using Mbed TLS routines.
  *
  * \note The signature of this function is that of a PSA driver hash_compute