diff --git a/build/cmake/README.md b/build/cmake/README.md
index 854389ad..73b30dc7 100644
--- a/build/cmake/README.md
+++ b/build/cmake/README.md
@@ -5,9 +5,9 @@ use case sensitivity that matches modern (ie. cmake version 2.6 and above)
 conventions of using lower-case for commands, and upper-case for
 variables.
 
-# How to build
+## How to build
 
-As cmake doesn't support command like `cmake clean`, it's recommanded to perform a "out of source build".
+As cmake doesn't support command like `cmake clean`, it's recommended to perform a "out of source build".
 To do this, you can create a new directory and build in it:
 ```sh
 cd build/cmake
@@ -16,7 +16,7 @@ cd builddir
 cmake ..
 make
 ```
-Then you can clean all cmake caches by simpily delete the new directory:
+Then you can clean all cmake caches by simply delete the new directory:
 ```sh
 rm -rf build/cmake/builddir
 ```
@@ -34,19 +34,19 @@ cd build/cmake/builddir
 cmake -LH ..
 ```
 
-Bool options can be set to ON/OFF with -D\[option\]=\[ON/OFF\]. You can configure cmake options like this:
+Bool options can be set to `ON/OFF` with `-D[option]=[ON/OFF]`. You can configure cmake options like this:
 ```sh
 cd build/cmake/builddir
 cmake -DZSTD_BUILD_TESTS=ON -DZSTD_LEGACY_SUPPORT=ON ..
 make
 ```
 
-## referring
+### referring
 [Looking for a 'cmake clean' command to clear up CMake output](https://stackoverflow.com/questions/9680420/looking-for-a-cmake-clean-command-to-clear-up-cmake-output)
 
-# CMake Style Recommendations
+## CMake Style Recommendations
 
-## Indent all code correctly, i.e. the body of
+### Indent all code correctly, i.e. the body of
 
  * if/else/endif
  * foreach/endforeach
@@ -57,7 +57,7 @@ make
 Use spaces for indenting, 2, 3 or 4 spaces preferably. Use the same amount of
 spaces for indenting as is used in the rest of the file. Do not use tabs.
 
-## Upper/lower casing
+### Upper/lower casing
 
 Most important: use consistent upper- or lowercasing within one file !
 
@@ -77,7 +77,7 @@ Add_Executable(hello hello.c)
 aDd_ExEcUtAbLe(blub blub.c)
 ```
 
-## End commands
+### End commands
 To make the code easier to read, use empty commands for endforeach(), endif(),
 endfunction(), endmacro() and endwhile(). Also, use empty else() commands.
 
@@ -99,6 +99,6 @@ if(BARVAR)
 endif(BARVAR)
 ```
 
-## Other resources for best practices
+### Other resources for best practices
 
-`https://cmake.org/cmake/help/latest/manual/cmake-developer.7.html#modules`
+https://cmake.org/cmake/help/latest/manual/cmake-developer.7.html#modules
diff --git a/programs/fileio.c b/programs/fileio.c
index 0365f144..828878c6 100644
--- a/programs/fileio.c
+++ b/programs/fileio.c
@@ -1496,17 +1496,17 @@ FIO_determineCompressedName(const char* srcFileName, const char* outDirName, con
     static char* dstFileNameBuffer = NULL;   /* using static allocation : this function cannot be multi-threaded */
     char* outDirFilename = NULL;
     size_t sfnSize = strlen(srcFileName);
-    size_t const suffixSize = strlen(suffix);
+    size_t const srcSuffixLen = strlen(suffix);
     if (outDirName) {
-        outDirFilename = FIO_createFilename_fromOutDir(srcFileName, outDirName, suffixSize);
+        outDirFilename = FIO_createFilename_fromOutDir(srcFileName, outDirName, srcSuffixLen);
         sfnSize = strlen(outDirFilename);
         assert(outDirFilename != NULL);
     }
 
-    if (dfnbCapacity <= sfnSize+suffixSize+1) {
+    if (dfnbCapacity <= sfnSize+srcSuffixLen+1) {
         /* resize buffer for dstName */
         free(dstFileNameBuffer);
-        dfnbCapacity = sfnSize + suffixSize + 30;
+        dfnbCapacity = sfnSize + srcSuffixLen + 30;
         dstFileNameBuffer = (char*)malloc(dfnbCapacity);
         if (!dstFileNameBuffer) {
             EXM_THROW(30, "zstd: %s", strerror(errno));
@@ -1520,7 +1520,7 @@ FIO_determineCompressedName(const char* srcFileName, const char* outDirName, con
     } else {
         memcpy(dstFileNameBuffer, srcFileName, sfnSize);
     }
-    memcpy(dstFileNameBuffer+sfnSize, suffix, suffixSize+1 /* Include terminating null */);
+    memcpy(dstFileNameBuffer+sfnSize, suffix, srcSuffixLen+1 /* Include terminating null */);
     return dstFileNameBuffer;
 }
 
@@ -2287,6 +2287,37 @@ int FIO_decompressFilename(FIO_prefs_t* const prefs,
     return decodingError;
 }
 
+static const char *suffixList[] = {
+    ZSTD_EXTENSION,
+    TZSTD_EXTENSION,
+#ifdef ZSTD_GZDECOMPRESS
+    GZ_EXTENSION,
+    TGZ_EXTENSION,
+#endif
+#ifdef ZSTD_LZMADECOMPRESS
+    LZMA_EXTENSION,
+    XZ_EXTENSION,
+    TXZ_EXTENSION,
+#endif
+#ifdef ZSTD_LZ4DECOMPRESS
+    LZ4_EXTENSION,
+    TLZ4_EXTENSION,
+#endif
+    NULL
+};
+
+static const char *suffixListStr =
+    ZSTD_EXTENSION "/" TZSTD_EXTENSION
+#ifdef ZSTD_GZDECOMPRESS
+    "/" GZ_EXTENSION "/" TGZ_EXTENSION
+#endif
+#ifdef ZSTD_LZMADECOMPRESS
+    "/" LZMA_EXTENSION "/" XZ_EXTENSION "/" TXZ_EXTENSION
+#endif
+#ifdef ZSTD_LZ4DECOMPRESS
+    "/" LZ4_EXTENSION "/" TLZ4_EXTENSION
+#endif
+;
 
 /* FIO_determineDstName() :
  * create a destination filename from a srcFileName.
@@ -2297,71 +2328,78 @@ FIO_determineDstName(const char* srcFileName, const char* outDirName)
 {
     static size_t dfnbCapacity = 0;
     static char* dstFileNameBuffer = NULL;   /* using static allocation : this function cannot be multi-threaded */
+    size_t dstFileNameEndPos;
     char* outDirFilename = NULL;
+    const char* dstSuffix = "";
+    size_t dstSuffixLen = 0;
+
     size_t sfnSize = strlen(srcFileName);
-    size_t suffixSize;
 
-    const char* const suffixPtr = strrchr(srcFileName, '.');
-    if (suffixPtr == NULL) {
-        DISPLAYLEVEL(1, "zstd: %s: unknown suffix -- ignored \n",
-                        srcFileName);
+    size_t srcSuffixLen;
+    const char* const srcSuffix = strrchr(srcFileName, '.');
+    if (srcSuffix == NULL) {
+        DISPLAYLEVEL(1,
+            "zstd: %s: unknown suffix (%s expected). "
+            "Can't derive the output file name. "
+            "Specify it with -o dstFileName. Ignoring.\n",
+            srcFileName, suffixListStr);
         return NULL;
     }
-    suffixSize = strlen(suffixPtr);
+    srcSuffixLen = strlen(srcSuffix);
 
-    /* check suffix is authorized */
-    if (sfnSize <= suffixSize
-        || (   strcmp(suffixPtr, ZSTD_EXTENSION)
-        #ifdef ZSTD_GZDECOMPRESS
-            && strcmp(suffixPtr, GZ_EXTENSION)
-        #endif
-        #ifdef ZSTD_LZMADECOMPRESS
-            && strcmp(suffixPtr, XZ_EXTENSION)
-            && strcmp(suffixPtr, LZMA_EXTENSION)
-        #endif
-        #ifdef ZSTD_LZ4DECOMPRESS
-            && strcmp(suffixPtr, LZ4_EXTENSION)
-        #endif
-            ) ) {
-        const char* suffixlist = ZSTD_EXTENSION
-        #ifdef ZSTD_GZDECOMPRESS
-            "/" GZ_EXTENSION
-        #endif
-        #ifdef ZSTD_LZMADECOMPRESS
-            "/" XZ_EXTENSION "/" LZMA_EXTENSION
-        #endif
-        #ifdef ZSTD_LZ4DECOMPRESS
-            "/" LZ4_EXTENSION
-        #endif
-        ;
-        DISPLAYLEVEL(1, "zstd: %s: unknown suffix (%s expected) -- ignored \n",
-                     srcFileName, suffixlist);
-        return NULL;
+    {
+        const char** matchedSuffixPtr;
+        for (matchedSuffixPtr = suffixList; *matchedSuffixPtr != NULL; matchedSuffixPtr++) {
+            if (!strcmp(*matchedSuffixPtr, srcSuffix)) {
+                break;
+            }
+        }
+
+        /* check suffix is authorized */
+        if (sfnSize <= srcSuffixLen || *matchedSuffixPtr == NULL) {
+            DISPLAYLEVEL(1,
+                "zstd: %s: unknown suffix (%s expected). "
+                "Can't derive the output file name. "
+                "Specify it with -o dstFileName. Ignoring.\n",
+                srcFileName, suffixListStr);
+            return NULL;
+        }
+
+        if ((*matchedSuffixPtr)[1] == 't') {
+            dstSuffix = ".tar";
+            dstSuffixLen = strlen(dstSuffix);
+        }
     }
+
     if (outDirName) {
         outDirFilename = FIO_createFilename_fromOutDir(srcFileName, outDirName, 0);
         sfnSize = strlen(outDirFilename);
         assert(outDirFilename != NULL);
     }
 
-    if (dfnbCapacity+suffixSize <= sfnSize+1) {
+    if (dfnbCapacity+srcSuffixLen <= sfnSize+1+dstSuffixLen) {
         /* allocate enough space to write dstFilename into it */
         free(dstFileNameBuffer);
         dfnbCapacity = sfnSize + 20;
         dstFileNameBuffer = (char*)malloc(dfnbCapacity);
         if (dstFileNameBuffer==NULL)
-            EXM_THROW(74, "%s : not enough memory for dstFileName", strerror(errno));
+            EXM_THROW(74, "%s : not enough memory for dstFileName",
+                      strerror(errno));
     }
 
     /* return dst name == src name truncated from suffix */
     assert(dstFileNameBuffer != NULL);
+    dstFileNameEndPos = sfnSize - srcSuffixLen;
     if (outDirFilename) {
-        memcpy(dstFileNameBuffer, outDirFilename, sfnSize - suffixSize);
+        memcpy(dstFileNameBuffer, outDirFilename, dstFileNameEndPos);
         free(outDirFilename);
     } else {
-        memcpy(dstFileNameBuffer, srcFileName, sfnSize - suffixSize);
+        memcpy(dstFileNameBuffer, srcFileName, dstFileNameEndPos);
     }
-    dstFileNameBuffer[sfnSize-suffixSize] = '\0';
+
+    /* The short tar extensions tzst, tgz, txz and tlz4 files should have "tar"
+     * extension on decompression. Also writes terminating null. */
+    strcpy(dstFileNameBuffer + dstFileNameEndPos, dstSuffix);
     return dstFileNameBuffer;
 
     /* note : dstFileNameBuffer memory is not going to be free */
diff --git a/programs/fileio.h b/programs/fileio.h
index 4b0143be..af2c5d9d 100644
--- a/programs/fileio.h
+++ b/programs/fileio.h
@@ -30,11 +30,23 @@ extern "C" {
 #else
 #  define nulmark "/dev/null"
 #endif
+
+/**
+ * We test whether the extension we found starts with 't', and if so, we append
+ * ".tar" to the end of the output name.
+ */
 #define LZMA_EXTENSION  ".lzma"
 #define XZ_EXTENSION    ".xz"
+#define TXZ_EXTENSION   ".txz"
+
 #define GZ_EXTENSION    ".gz"
+#define TGZ_EXTENSION   ".tgz"
+
 #define ZSTD_EXTENSION  ".zst"
+#define TZSTD_EXTENSION ".tzst"
+
 #define LZ4_EXTENSION   ".lz4"
+#define TLZ4_EXTENSION  ".tlz4"
 
 
 /*-*************************************
diff --git a/tests/playTests.sh b/tests/playTests.sh
index f68ee81a..c1da1650 100755
--- a/tests/playTests.sh
+++ b/tests/playTests.sh
@@ -845,6 +845,46 @@ if [ $LZ4MODE -ne 1 ]; then
     grep ".lz4" tmplg > $INTOVOID && die "Unsupported suffix listed"
 fi
 
+println "\n===>  tar extension tests "
+
+rm -f tmp tmp.tar tmp.tzst tmp.tgz tmp.txz tmp.tlz4
+
+./datagen > tmp
+tar cf tmp.tar tmp
+$ZSTD tmp.tar -o tmp.tzst
+rm tmp.tar
+$ZSTD -d tmp.tzst
+[ -e tmp.tar ] || die ".tzst failed to decompress to .tar!"
+rm -f tmp.tar tmp.tzst
+
+if [ $GZIPMODE -eq 1 ]; then
+    tar czf tmp.tgz tmp
+    $ZSTD -d tmp.tgz
+    [ -e tmp.tar ] || die ".tgz failed to decompress to .tar!"
+    rm -f tmp.tar tmp.tgz
+fi
+
+if [ $LZMAMODE -eq 1 ]; then
+    tar c tmp | $ZSTD --format=xz > tmp.txz
+    $ZSTD -d tmp.txz
+    [ -e tmp.tar ] || die ".txz failed to decompress to .tar!"
+    rm -f tmp.tar tmp.txz
+fi
+
+if [ $LZ4MODE -eq 1 ]; then
+    tar c tmp | $ZSTD --format=lz4 > tmp.tlz4
+    $ZSTD -d tmp.tlz4
+    [ -e tmp.tar ] || die ".tlz4 failed to decompress to .tar!"
+    rm -f tmp.tar tmp.tlz4
+fi
+
+touch tmp.t tmp.tz tmp.tzs
+! $ZSTD -d tmp.t
+! $ZSTD -d tmp.tz
+! $ZSTD -d tmp.tzs
+
+exit
+
 println "\n===>  zstd round-trip tests "
 
 roundTripTest