diff --git a/README.md b/README.md
index 6e37eb31a..b254f7b8a 100644
--- a/README.md
+++ b/README.md
@@ -95,7 +95,7 @@ conda env create -f alien-env.yml
 conda activate alien-env
 ```
 
-Then the CMAKE OPTIONS has to be activated in the Alien configuration step 
+Turn ON the ALIEN_GENERATE_DOCUMENTATION Option in the Alien configuration step.
 
 ```shell script
 cmake -S `pwd`/alien \
diff --git a/docs/sphinx/sycl/install.rst b/docs/sphinx/sycl/install.rst
index e80e09bde..53b87f420 100644
--- a/docs/sphinx/sycl/install.rst
+++ b/docs/sphinx/sycl/install.rst
@@ -7,7 +7,17 @@ How to install SYCL
 Installing SYCL
 ===============
 
-Alien's build system is based on CMake.
+Alien SYCL backend has been developped on top of the hipSYCL implementation of the SYCL API 2020 specification.
+
+hipSYCL depend on the LLVM infrastructure, Clang compiler to compile device codes.
+Our implementation still indevelopement has been tested with:
+
+- LLVM 10.0
+- Clang with GCC 10.2
+- CUDA 10.1
+
+AMD devices with ROCM and Intel device with OneAPI and DPC++ have not been already tested.
+
 
 Getting the sources
 -------------------
diff --git a/docs/sphinx/tutorial.rst b/docs/sphinx/tutorial.rst
index a08898f4a..6297e97c8 100644
--- a/docs/sphinx/tutorial.rst
+++ b/docs/sphinx/tutorial.rst
@@ -51,10 +51,12 @@ The Space concept enable to modelize the mathematical algebraic real space :math
 
 To build this concept several tools are provided:
 
-- the `IndexeManager` package provides helper tools to manage `Integer IndexSets`
+- the `IndexManager` package provides helper tools to manage `Integer IndexSets`
 
 - the `Distribution` package provides helper tools to manage the partition of `IndexSets` between MPI processes
 
+The following code illustrates how to build with an `IndexManager` object, families of unique indexes and different `IndexSet` objects.
+
 .. code-block:: bash
 
     int Nx = 10;
@@ -110,24 +112,24 @@ To build this concept several tools are provided:
     // Combine all index set and create Linear system index system
     index_manager.prepare();
 
+
+Once some `IndexSet` are built and enregistred in the `IndexManager`, matrix and vector `Distribution` objects
+are built to manage the distribution of indexes between MPI processes.
+
+The following code illustrates how to build theses objects.
+
+.. code-block:: bash
+
     auto global_size = index_manager.globalSize();
     auto local_size = index_manager.localSize();
 
     trace_mng->info() << "GLOBAL SIZE : " << global_size;
     trace_mng->info() << "LOCAL SIZE  : " << local_size;
 
-    /*
-     * DEFINITION of
-     * - Alien Space,
-     * - matrix and vector distributions
-     * to manage the distribution of indexes between all MPI processes
-     */
-
-    auto space = Alien::Space(global_size, "MySpace");
-
-    auto mdist =
-    Alien::MatrixDistribution(global_size, global_size, local_size, parallel_mng);
-    auto vdist = Alien::VectorDistribution(global_size, local_size, parallel_mng);
+    auto mdist = Alien::MatrixDistribution(global_size, global_size, 
+                                           local_size, parallel_mng);
+    auto vdist = Alien::VectorDistribution(global_size, 
+                                           local_size, parallel_mng);
 
     trace_mng->info() << "MATRIX DISTRIBUTION INFO";
     trace_mng->info() << "GLOBAL ROW SIZE : " << mdist.globalRowSize();
@@ -140,6 +142,19 @@ To build this concept several tools are provided:
     trace_mng->info() << "LOCAL SIZE  : " << vdist.localSize();
 
 
+Then `Space` objects can be built as follows:
+
+.. code-block:: bash
+
+    /*
+     * DEFINITION of
+     * - Alien Space,
+     * - matrix and vector distributions
+     * to manage the distribution of indexes between all MPI processes
+     */
+
+    auto space = Alien::Space(global_size, "MySpace");
+
 Matrix
 ------
 
@@ -295,4 +310,4 @@ Solving the linear system consists in finding the solution X such that :math:`A*
     }
     
     solver->end();
-    
\ No newline at end of file
+