diff --git a/build/cmake/README.md b/build/cmake/README.md
index 854389ad8..73b30dc77 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 0365f1449..07503f052 100644
--- a/programs/fileio.c
+++ b/programs/fileio.c
@@ -2298,44 +2298,35 @@ 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 */
     char* outDirFilename = NULL;
+
+    const char* SUFFIX_LIST = ZSTD_EXTENSION "/" TZSTD_EXTENSION
+    #ifdef ZSTD_GZDECOMPRESS
+        "/" GZ_EXTENSION "/" TGZ_EXTENSION
+    #endif
+    #ifdef ZSTD_LZMADECOMPRESS
+        "/" XZ_EXTENSION "/" LZMA_EXTENSION "/" TXZ_EXTENSION
+    #endif
+    #ifdef ZSTD_LZ4DECOMPRESS
+        "/" LZ4_EXTENSION "/" TLZ4_EXTENSION
+    #endif
+    ;
+
     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);
+        DISPLAYLEVEL(1, "zstd: %s: missing suffix (%s expected). Can't derive the output file name so specify it with -o dstFileName. -- ignored \n",
+                        srcFileName, SUFFIX_LIST);
         return NULL;
     }
     suffixSize = strlen(suffixPtr);
 
     /* 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);
+        || (strstr(SUFFIX_LIST, suffixPtr) == NULL)) {
+        DISPLAYLEVEL(1, "zstd: %s: unknown suffix (%s expected). Can't derive the output file name so specify it with -o dstFileName. -- ignored \n",
+                     srcFileName, SUFFIX_LIST);
         return NULL;
     }
     if (outDirName) {
@@ -2355,13 +2346,23 @@ FIO_determineDstName(const char* srcFileName, const char* outDirName)
 
     /* return dst name == src name truncated from suffix */
     assert(dstFileNameBuffer != NULL);
+    size_t dstFileNameEndPos = sfnSize - suffixSize;
     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
+     * To check that the file is one of them we can check that it starts with "t"
+     */
+    if (suffixPtr[1] == 't') {
+        dstFileNameBuffer[dstFileNameEndPos++] = '.';
+        dstFileNameBuffer[dstFileNameEndPos++] = 't';
+        dstFileNameBuffer[dstFileNameEndPos++] = 'a';
+        dstFileNameBuffer[dstFileNameEndPos++] = 'r';
+    }
+    dstFileNameBuffer[dstFileNameEndPos] = '\0';
     return dstFileNameBuffer;
 
     /* note : dstFileNameBuffer memory is not going to be free */
diff --git a/programs/fileio.h b/programs/fileio.h
index 4b0143beb..42e2274ab 100644
--- a/programs/fileio.h
+++ b/programs/fileio.h
@@ -32,9 +32,13 @@ extern "C" {
 #endif
 #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"
 
 
 /*-*************************************