diff --git a/inference_lib/src/aqlm/inference_kernels/kernel_selector.py b/inference_lib/src/aqlm/inference_kernels/kernel_selector.py
index ea55f342..d72fe6ed 100644
--- a/inference_lib/src/aqlm/inference_kernels/kernel_selector.py
+++ b/inference_lib/src/aqlm/inference_kernels/kernel_selector.py
@@ -5,6 +5,7 @@
 import torch.nn.functional as F
 from aqlm.utils import _dequantize_weight, unpack_int_data
 
+from .numba import numba_gemm_lut
 from .triton_kernel import triton_matmul
 
 
@@ -27,6 +28,8 @@ def forward_pass_quantized_linear(
             return cuda_gemm_2x8(input, codes, codebooks, scales, bias)
         case (True, _, _, _, _):
             return triton_matmul(input, codes, codebooks, scales, bias)
+        case (False, _, 256, 1, _):
+            return numba_gemm_lut(input, codes, codebooks, scales, bias)
         case _:
             dequantized_weight = _dequantize_weight(
                 unpack_int_data(codes, codebooks.shape[0].bit_length() - 1),
diff --git a/inference_lib/src/aqlm/inference_kernels/numba.py b/inference_lib/src/aqlm/inference_kernels/numba.py
new file mode 100644
index 00000000..aac6675b
--- /dev/null
+++ b/inference_lib/src/aqlm/inference_kernels/numba.py
@@ -0,0 +1,63 @@
+from typing import Optional
+
+import numba
+import numpy as np
+import torch
+
+COMPILED_KERNELS = {}
+
+
+def numba_gemm_lut(
+    input: torch.Tensor,  #  [..., in_features]
+    codes: torch.IntTensor,  #  [num_out_groups, num_in_groups, num_codebooks]
+    codebooks: torch.Tensor,  #  [num_codebooks, codebook_size, out_group_size, in_group_size]
+    scales: torch.Tensor,  #  [num_out_groups, 1, 1, 1]
+    bias: Optional[torch.Tensor],
+) -> torch.Tensor:
+    input_shape = input.shape
+    input = input.reshape(-1, input_shape[-1])
+
+    device, dtype = codebooks.device, codebooks.dtype
+    num_codebooks, codebook_size, out_group_size, in_group_size = codebooks.shape
+    in_features = input.shape[1]
+    out_features = codes.shape[0] * out_group_size
+    assert input.ndim == 2
+    assert scales.shape == (out_features // out_group_size, 1, 1, 1)
+    assert in_features % in_group_size == 0
+    assert codebook_size == 2**8
+    assert codes.dtype == torch.int8
+    assert input.dtype == torch.float32 and codebooks.dtype == torch.float32
+
+    kernel_key = (in_group_size, out_features, in_features, num_codebooks)
+    if kernel_key not in COMPILED_KERNELS:
+
+        @numba.njit(nopython=True, parallel=False)
+        def numba_gemv_lut_(x, codebooks, codes_alt, scales):
+            lut = x.reshape(-1, in_group_size) @ codebooks.reshape(-1, in_group_size).T
+            lut = lut.reshape(-1, num_codebooks, codebook_size)
+
+            output_vec = np.zeros(out_features, dtype=x.dtype)
+            for j in range(in_features // in_group_size):
+                for i in range(out_features):
+                    for c in range(num_codebooks):
+                        output_vec[i] += lut[j, c, codes_alt[j, i, c]]
+            output_vec *= scales.flatten()
+            return output_vec
+
+        COMPILED_KERNELS[kernel_key] = numba_gemv_lut_
+    compiled_kernel = COMPILED_KERNELS[kernel_key]
+
+    output = torch.zeros(input.shape[0], out_features, device=device, dtype=dtype)
+    for i in range(input.shape[0]):
+        output[i] = torch.tensor(
+            compiled_kernel(
+                input[i].numpy(),
+                codebooks.numpy(),
+                torch.permute(codes, (1, 0, 2)).contiguous().numpy(),
+                scales.numpy(),
+            )
+        )
+    output *= scales.flatten().unsqueeze(0)
+    if bias is not None:
+        output += bias
+    return output.reshape(input_shape[:-1] + (-1,))