diff --git a/src/runtime/CL/tuners/CLTuningParametersList.cpp b/src/runtime/CL/tuners/CLTuningParametersList.cpp
new file mode 100644
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+++ b/src/runtime/CL/tuners/CLTuningParametersList.cpp
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+/*
+ * Copyright (c) 2019-2021 Arm Limited.
+ *
+ * SPDX-License-Identifier: MIT
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to
+ * deal in the Software without restriction, including without limitation the
+ * rights to use, copy, modify, merge, publish, distribute, sublicense, and/or
+ * sell copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in all
+ * copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+#include "arm_compute/runtime/CL/tuners/CLTuningParametersList.h"
+
+namespace arm_compute
+{
+namespace cl_tuner
+{
+constexpr unsigned int max_lws_supported_x{ 64u };
+constexpr unsigned int max_lws_supported_y{ 32u };
+constexpr unsigned int max_lws_supported_z{ 32u };
+
+/** Non instantiable base class for Tuning parameters combinations that use Index2Cooard mapping */
+class CLTuningParametersList : public ICLTuningParametersList
+{
+protected:
+    /* Shape of 3-D search space */
+    TensorShape search_space_shape{ 0, 0, 0 };
+
+    /** Constructor */
+    CLTuningParametersList() = default;
+    /** Copy Constructor */
+    CLTuningParametersList(const CLTuningParametersList &) = default;
+    /** Move Constructor */
+    CLTuningParametersList(CLTuningParametersList &&) noexcept(true) = default;
+    /** Assignment */
+    CLTuningParametersList &operator=(const CLTuningParametersList &) = default;
+    /** Move Assignment */
+    CLTuningParametersList &operator=(CLTuningParametersList &&) noexcept(true) = default;
+    /** Destructor */
+    virtual ~CLTuningParametersList() = default;
+
+    // Inherited methods overridden:
+    virtual size_t size() override;
+};
+
+/** Exhaustive list of all possible Tuning parameters (lws) values */
+class CLTuningParametersListExhaustive : public CLTuningParametersList
+{
+public:
+    /** Prevent default constructor calls */
+    CLTuningParametersListExhaustive() = delete;
+    /** Constructor */
+    CLTuningParametersListExhaustive(const cl::NDRange &gws);
+    /** Copy Constructor */
+    CLTuningParametersListExhaustive(const CLTuningParametersListExhaustive &) = default;
+    /** Move Constructor */
+    CLTuningParametersListExhaustive(CLTuningParametersListExhaustive &&) noexcept(true) = default;
+    /** Assignment */
+    CLTuningParametersListExhaustive &operator=(const CLTuningParametersListExhaustive &) = default;
+    /** Move Assignment */
+    CLTuningParametersListExhaustive &operator=(CLTuningParametersListExhaustive &&) noexcept(true) = default;
+    /** Destructor */
+    ~CLTuningParametersListExhaustive() = default;
+
+    // Inherited methods overridden:
+    CLTuningParams operator[](size_t) override;
+};
+
+/** A subset of LWS values that are either factors of gws when gws[2] < 16 or power of 2 */
+class CLTuningParametersListNormal : public CLTuningParametersList
+{
+public:
+    /** Constructor */
+    CLTuningParametersListNormal(const cl::NDRange &gws);
+    /** Copy Constructor */
+    CLTuningParametersListNormal(const CLTuningParametersListNormal &) = default;
+    /** Move Constructor */
+    CLTuningParametersListNormal(CLTuningParametersListNormal &&) noexcept(true) = default;
+    /** Assignment */
+    CLTuningParametersListNormal &operator=(const CLTuningParametersListNormal &) = default;
+    /** Move Assignment */
+    CLTuningParametersListNormal &operator=(CLTuningParametersListNormal &&) noexcept(true) = default;
+    /** Destructor */
+    ~CLTuningParametersListNormal() = default;
+
+    // Inherited methods overridden:
+    CLTuningParams operator[](size_t) override;
+
+protected:
+    std::vector<unsigned int> _lws_x{};
+    std::vector<unsigned int> _lws_y{};
+    std::vector<unsigned int> _lws_z{};
+
+    /** Prevent default constructor calls */
+    CLTuningParametersListNormal() = default;
+
+private:
+    /** Utility function used to initialize the LWS values to test.
+     *  Only the LWS values which are power of 2 or satisfy the modulo conditions with GWS are taken into account by the CLTuner
+     *
+     * @param[in, out] lws         Vector of LWS to test
+     * @param[in]      gws         Size of the specific GWS
+     * @param[in]      lws_max     Max LWS value allowed to be tested
+     * @param[in]      mod_let_one True if the results of the modulo operation between gws and the lws can be less than one.
+     */
+    void initialize_lws_values(std::vector<unsigned int> &lws, unsigned int gws, unsigned int lws_max, bool mod_let_one);
+};
+
+/** A minimal subset of LWS values that only have 1,2 and 4/8 */
+class CLTuningParametersListRapid : public CLTuningParametersListNormal
+{
+public:
+    /** Prevent default constructor calls */
+    CLTuningParametersListRapid() = delete;
+    /** Constructor */
+    CLTuningParametersListRapid(const cl::NDRange &gws);
+    /** Copy Constructor */
+    CLTuningParametersListRapid(const CLTuningParametersListRapid &) = default;
+    /** Move Constructor */
+    CLTuningParametersListRapid(CLTuningParametersListRapid &&) noexcept(true) = default;
+    /** Assignment */
+    CLTuningParametersListRapid &operator=(const CLTuningParametersListRapid &) = default;
+    /** Move Assignment */
+    CLTuningParametersListRapid &operator=(CLTuningParametersListRapid &&) noexcept(true) = default;
+    /** Destructor */
+    virtual ~CLTuningParametersListRapid() = default;
+
+private:
+    /** Utility function used to initialize the LWS values to test.
+     *  Only the LWS values that have 1,2 and 4/8 for each dimension are taken into account by the CLTuner
+     *
+     * @param[in, out] lws     Vector of LWS to test
+     * @param[in]      lws_max Max LWS value allowed to be tested
+     */
+    void initialize_lws_values(std::vector<unsigned int> &lws, unsigned int lws_max);
+};
+
+size_t CLTuningParametersList::size()
+{
+    return search_space_shape.total_size();
+}
+
+CLTuningParams CLTuningParametersListExhaustive::operator[](size_t index)
+{
+    ARM_COMPUTE_ERROR_ON(index >= size());
+    auto coords = index2coords(search_space_shape, index);
+    return CLTuningParams(coords[0] + 1U, coords[1] + 1U, coords[2] + 1U);
+}
+
+CLTuningParametersListExhaustive::CLTuningParametersListExhaustive(const cl::NDRange &gws)
+{
+    ARM_COMPUTE_UNUSED(gws);
+    search_space_shape = TensorShape(max_lws_supported_x,
+                                     max_lws_supported_y,
+                                     max_lws_supported_z);
+}
+
+CLTuningParams CLTuningParametersListNormal::operator[](size_t index)
+{
+    ARM_COMPUTE_ERROR_ON(index >= size());
+    auto coords = index2coords(search_space_shape, index);
+    return CLTuningParams(_lws_x[coords[0]], _lws_y[coords[1]], _lws_z[coords[2]]);
+}
+
+CLTuningParametersListNormal::CLTuningParametersListNormal(const cl::NDRange &gws)
+{
+    auto lws_x_max = std::min(static_cast<unsigned int>(gws[0]), max_lws_supported_x);
+    auto lws_y_max = std::min(static_cast<unsigned int>(gws[1]), max_lws_supported_y);
+    auto lws_z_max = std::min(static_cast<unsigned int>(gws[2]), max_lws_supported_z);
+
+    // Initialize the LWS values to test
+    initialize_lws_values(_lws_x, gws[0], lws_x_max, gws[2] > 16); // Explore lws that are not factors of gws only when gws[2] > 16
+    initialize_lws_values(_lws_y, gws[1], lws_y_max, gws[2] > 16); // Explore lws that are not factors of gws only when gws[2] > 16
+    initialize_lws_values(_lws_z, gws[2], lws_z_max, false);
+
+    search_space_shape = TensorShape(_lws_x.size(), _lws_y.size(), _lws_z.size());
+}
+
+void CLTuningParametersListNormal::initialize_lws_values(std::vector<unsigned int> &lws, unsigned int gws, unsigned int lws_max, bool mod_let_one)
+{
+    lws.push_back(1);
+
+    for(unsigned int i = 2; i <= lws_max; ++i)
+    {
+        // Power of two condition
+        const bool is_power_of_two = (i & (i - 1)) == 0;
+
+        // Condition for the module accordingly with the mod_let_one flag
+        const bool mod_cond = mod_let_one ? (gws % i) <= 1 : (gws % i) == 0;
+
+        if(mod_cond || is_power_of_two)
+        {
+            lws.push_back(i);
+        }
+    }
+}
+
+CLTuningParametersListRapid::CLTuningParametersListRapid(const cl::NDRange &gws)
+{
+    auto lws_x_max = std::min(static_cast<unsigned int>(gws[0]), 8u); // Limit exploration to 1 - 8
+    auto lws_y_max = std::min(static_cast<unsigned int>(gws[1]), 4u); // Limit exploration to 1 - 4
+    auto lws_z_max = std::min(static_cast<unsigned int>(gws[2]), 4u); // Limit exploration to 1 - 4
+
+    // Initialize the LWS values to test
+    initialize_lws_values(_lws_x, lws_x_max);
+    initialize_lws_values(_lws_y, lws_y_max);
+    initialize_lws_values(_lws_z, lws_z_max);
+
+    search_space_shape = TensorShape(_lws_x.size(), _lws_y.size(), _lws_z.size());
+}
+
+void CLTuningParametersListRapid::initialize_lws_values(std::vector<unsigned int> &lws, unsigned int lws_max)
+{
+    lws.push_back(1);
+
+    for(unsigned int i = 2; i <= lws_max; i *= 4)
+    {
+        lws.push_back(i);
+    }
+}
+
+std::unique_ptr<ICLTuningParametersList> get_tuning_parameters_list(CLTunerMode mode, const cl::NDRange &gws)
+{
+    switch(mode)
+    {
+        case CLTunerMode::EXHAUSTIVE:
+            return std::make_unique<CLTuningParametersListExhaustive>(gws);
+        case CLTunerMode::NORMAL:
+            return std::make_unique<CLTuningParametersListNormal>(gws);
+        case CLTunerMode::RAPID:
+            return std::make_unique<CLTuningParametersListRapid>(gws);
+        default:
+            return nullptr;
+    }
+}
+} // namespace cl_tuner
+} // namespace arm_compute