{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# !pip install bitstring"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from bitstring import BitArray"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[7,4] Hamming code with an additional parity bit from wiki\n",
    "https://en.wikipedia.org/wiki/Hamming_code#Construction_of_G_and_H"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "G=[[1,0,0,0,1,1,0],[0,1,0,0,1,0,1],[0,0,1,0,0,1,1],[0,0,0,1,1,1,1]]\n",
    "H=[[1,1,0,1,1,0,0],[1,0,1,1,0,1,0],[0,1,1,1,0,0,1]]\n",
    "S=[0,1,2,5,3,6,7,4] # syndrome table opint out error address"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "G[0][1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# encode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0, 0]\n",
      "[0, 0, 0, 1, 1, 1, 1]\n",
      "[0, 0, 1, 0, 0, 1, 1]\n",
      "[0, 0, 1, 1, 1, 0, 0]\n",
      "[0, 1, 0, 0, 1, 0, 1]\n",
      "[0, 1, 0, 1, 0, 1, 0]\n",
      "[0, 1, 1, 0, 1, 1, 0]\n",
      "[0, 1, 1, 1, 0, 0, 1]\n",
      "[1, 0, 0, 0, 1, 1, 0]\n",
      "[1, 0, 0, 1, 0, 0, 1]\n",
      "[1, 0, 1, 0, 1, 0, 1]\n",
      "[1, 0, 1, 1, 0, 1, 0]\n",
      "[1, 1, 0, 0, 0, 1, 1]\n",
      "[1, 1, 0, 1, 1, 0, 0]\n",
      "[1, 1, 1, 0, 0, 0, 0]\n",
      "[1, 1, 1, 1, 1, 1, 1]\n"
     ]
    }
   ],
   "source": [
    "encode_table=[]\n",
    "for mes in range(16):\n",
    "    integer = mes\n",
    "    # Format integer as a binary string with padding of zeros\n",
    "    binary_string = format(integer, '04b')\n",
    "    # Convert string into bit array\n",
    "    bit_array = [int(bit) for bit in binary_string]\n",
    "    result_array=[0,0,0,0,0,0,0]\n",
    "    for i in range(7):\n",
    "        mux=[0,0,0,0]\n",
    "        for j in range(4):\n",
    "            mux[j] = bit_array[j]*G[j][i]\n",
    "            result_array[i]= result_array[i] + mux[j]\n",
    "        result_array[i] = result_array[i]%2\n",
    "    print(result_array)\n",
    "\n",
    "    b = BitArray(result_array)\n",
    "    encode_table.append(b.uint)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 15, 19, 28, 37, 42, 54, 57, 70, 73, 85, 90, 99, 108, 112, 127]\n"
     ]
    }
   ],
   "source": [
    "print(encode_table)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# decode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 2, 0, 4, 8, 1, 0, 9, 5, 1, 3, 1, 1, 1, 0, 2, 2, 2, 3, 10, 6, 2, 3, 7, 11, 2, 3, 3, 3, 1, 0, 4, 5, 12, 4, 4, 6, 4, 5, 7, 5, 5, 13, 4, 5, 1, 14, 7, 6, 2, 6, 4, 6, 6, 7, 7, 5, 7, 3, 7, 6, 15, 0, 9, 8, 12, 8, 10, 8, 8, 9, 9, 11, 9, 13, 9, 8, 1, 14, 10, 11, 2, 10, 10, 8, 10, 11, 9, 11, 11, 3, 10, 11, 15, 14, 12, 12, 12, 13, 4, 8, 12, 13, 9, 5, 12, 13, 13, 13, 15, 14, 14, 14, 12, 14, 10, 6, 15, 14, 7, 11, 15, 13, 15, 15, 15]\n"
     ]
    }
   ],
   "source": [
    "count=0\n",
    "decode_table=[]\n",
    "syndrome_table=[]\n",
    "for mes in range(128):\n",
    "# for mes in encode_table:\n",
    "    integer = mes\n",
    "    # Format integer as a binary string with padding of zeros\n",
    "    binary_string = format(integer, '07b')\n",
    "    # Convert string into bit array\n",
    "    bit_array = [int(bit) for bit in binary_string]\n",
    "    # print(bit_array)\n",
    "    syndrome_array=[0,0,0]\n",
    "    for i in range(3):\n",
    "        mux=[0,0,0,0,0,0,0]\n",
    "        for j in range(7):\n",
    "            mux[j] = H[i][j]*bit_array[j]\n",
    "            syndrome_array[i]= syndrome_array[i] + mux[j]\n",
    "        syndrome_array[i] = syndrome_array[i]%2\n",
    "    # print(syndrome_array)\n",
    "    b = BitArray(syndrome_array)\n",
    "    c = b.uint\n",
    "    if c != 0:\n",
    "        # print(c)\n",
    "        x=S[c]\n",
    "        bit_array[7-x]=(bit_array[7-x]+1)%2\n",
    "        # print(f'c:{bit_array}')\n",
    "    # else:\n",
    "    #     print(bit_array)\n",
    "    ss = BitArray(bit_array)\n",
    "    message=BitArray(bit_array[:4])\n",
    "    if ss.uint not in encode_table:\n",
    "        # print(ss)\n",
    "        # decode_table.append(message.uint+128)\n",
    "        decode_table.append(message.uint)\n",
    "        syndrome_table.append(c)\n",
    "    else:\n",
    "        # print(message)\n",
    "        count+=1\n",
    "\n",
    "        decode_table.append(message.uint)\n",
    "        syndrome_table.append(0)\n",
    "\n",
    "print(decode_table)\n",
    "# print(syndrome_table)\n",
    "# print(count)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ryzen-ai-1.2.0",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}