/**** 
* Classes
****/ 
var QRCode = Container.expand(function (string) {
	var self = Container.call(this);
	// Initialize QR code properties
	self.pixelSize = 32;
	self.modules = [];
	self.string = string;
	self.countBitLength = 10;
	self.dataCodeWord = "";
	self.eccCodeWord = "";
	self.size = 21;
	// Block = 8 bits
	self.maxDataBlock = 19;
	self.maxErrorBlock = 7;
	self.placePixel = function (x, y, isBlack) {
		// Initialize row if it doesn't exist
		if (!self.modules[y]) {
			self.modules[y] = [];
		}
		// Mark pixel in modules array
		self.modules[y][x] = isBlack;
	};
	self.drawPositionPattern = function (centerX, centerY) {
		// Draw 7x7 position pattern
		for (var y = -3; y <= 3; y++) {
			for (var x = -3; x <= 3; x++) {
				var absX = Math.abs(x);
				var absY = Math.abs(y);
				// Outer black ring, white ring, inner black square
				if (absX === 3 || absY === 3 || absX <= 1 && absY <= 1) {
					self.placePixel(centerX + x, centerY + y, true);
				} else if (absX === 2 || absY === 2) {
					// White middle ring
					self.placePixel(centerX + x, centerY + y, false);
				}
			}
		}
	};
	self.drawToScreen = function () {
		// Draw all pixels from modules array
		for (var y = 0; y < self.size; y++) {
			if (self.modules[y]) {
				for (var x = 0; x < self.size; x++) {
					if (self.modules[y][x] !== undefined) {
						var pixel = self.attachAsset('QRCodePixel', {
							x: x * self.pixelSize,
							y: y * self.pixelSize,
							scaleX: self.pixelSize,
							scaleY: self.pixelSize,
							tint: self.modules[y][x] ? 0 : 0xFFFFFF
						});
					}
				}
			}
		}
	};
	self.createPattern = function () {
		var size = 21; // Standard QR code size
		// Draw position patterns at three corners
		self.drawPositionPattern(3, 3); // Top-left
		self.drawPositionPattern(self.size - 4, 3); // Top-right
		self.drawPositionPattern(3, self.size - 4); // Bottom-left
		self.placePixel(8, self.size - 8, true);
		// timing pattern
		for (var i = 8; i <= self.size - 8; i += 2) {
			self.placePixel(i, 6, true);
			self.placePixel(6, i, true);
		}
		// Draw all pixels from modules array
		self.drawToScreen();
	};
	// Convert to hexadecimal and split into bytes
	self.binToHex = function (bin) {
		var hexBytes = "";
		for (var i = 0; i < bin.length; i += 8) {
			var _byte = bin.substr(i, 8);
			var hexValue = parseInt(_byte, 2).toString(16).toUpperCase();
			if (hexValue.length === 1) {
				hexValue = "0" + hexValue;
			}
			hexBytes += hexValue + " ";
		}
		return hexBytes;
	};
	self.encodeECC = function () {
		var LOG_TABLE = new Array(256);
		var EXP_TABLE = new Array(256);
		var p = 1;
		for (var i = 0; i < 255; i++) {
			EXP_TABLE[i] = p;
			LOG_TABLE[p] = i;
			p = p << 1;
			if (p > 255) {
				p = p ^ 285;
			}
		}
		EXP_TABLE[255] = 1;
		var gf_multiply = function gf_multiply(a, b) {
			if (a === 0 || b === 0) {
				return 0;
			}
			return EXP_TABLE[(LOG_TABLE[a] + LOG_TABLE[b]) % 255];
		};
		var getGeneratorPolynomial = function getGeneratorPolynomial(numEccBytes) {
			var g = [1];
			for (var i = 0; i < numEccBytes; i++) {
				var next_g = new Array(g.length + 1);
				for (var k = 0; k < next_g.length; k++) {
					next_g[k] = 0;
				}
				var alpha_pow_i = EXP_TABLE[i];
				for (var j = 0; j < g.length; j++) {
					next_g[j] = g[j];
				}
				for (var j = 0; j < g.length; j++) {
					next_g[j + 1] ^= gf_multiply(g[j], alpha_pow_i);
				}
				g = next_g;
			}
			return g;
		};
		// 1. Convert dataCodeWord to bytes
		var dataBytes = [];
		for (var i = 0; i < self.dataCodeWord.length; i += 8) {
			var byteString = self.dataCodeWord.substr(i, 8);
			dataBytes.push(parseInt(byteString, 2));
		}
		// 2. Get generator polynomial
		var generator = getGeneratorPolynomial(self.maxErrorBlock);
		// 3. Perform polynomial division to get ECC
		var dataLen = dataBytes.length;
		var eccLen = self.maxErrorBlock;
		var msg_out = new Array(dataLen + eccLen);
		for (var i = 0; i < msg_out.length; i++) {
			msg_out[i] = 0;
		}
		for (var i = 0; i < dataLen; i++) {
			msg_out[i] = dataBytes[i];
		}
		for (var i = 0; i < dataLen; i++) {
			var coef = msg_out[i];
			if (coef !== 0) {
				for (var j = 0; j < generator.length; j++) {
					msg_out[i + j] ^= gf_multiply(generator[j], coef);
				}
			}
		}
		var eccBytes = [];
		for (var i = 0; i < eccLen; i++) {
			eccBytes.push(msg_out[dataLen + i]);
		}
		// 4. Convert ECC bytes to binary string
		var eccBinaryString = "";
		for (var i = 0; i < eccBytes.length; i++) {
			var binary = eccBytes[i].toString(2);
			while (binary.length < 8) {
				binary = "0" + binary;
			}
			eccBinaryString += binary;
		}
		self.eccCodeWord = eccBinaryString;
		console.log("eccCodeWord: " + self.binToHex(self.eccCodeWord));
	};
	// Encode numeric data method
	self.encodeNumeric = function () {
		// Split into groups of 3 digits
		var groups = [];
		for (var i = 0; i < self.string.length; i += 3) {
			var group = self.string.substr(i, Math.min(3, self.string.length - i));
			groups.push(group);
		}
		console.log("Groups of 3: " + groups.join(", "));
		// Convert each group to binary
		var binaryGroups = [];
		for (var j = 0; j < groups.length; j++) {
			var num = parseInt(groups[j], 10);
			var bitLength;
			// Determine bit length based on group size
			if (groups[j].length === 3) {
				bitLength = 10; // 3 digits need 10 bits (0-999)
			} else if (groups[j].length === 2) {
				bitLength = 7; // 2 digits need 7 bits (0-99)
			} else {
				bitLength = 4; // 1 digit needs 4 bits (0-9)
			}
			// Convert to binary with proper padding
			var binary = num.toString(2);
			while (binary.length < bitLength) {
				binary = "0" + binary;
			}
			binaryGroups.push(binary);
			console.log("Group " + num + " -> " + binary + " (" + bitLength + " bits)");
		}
		console.log("Message Binary: " + binaryGroups.join(" ") + " (" + binaryGroups.join("").length + " bits)");
		self.dataCodeWord += "0001";
		var binary = string.length.toString(2);
		// Convert to binary with proper padding
		while (binary.length < self.countBitLength) {
			binary = "0" + binary;
		}
		self.dataCodeWord += binary;
		self.dataCodeWord += binaryGroups.join("");
		self.dataCodeWord += "0000"; // Terminator
		// Add byte padding
		var currentBytes = self.dataCodeWord.length / 8;
		var bytesNeeded = self.maxDataBlock - currentBytes;
		// Pad to byte boundary first
		var bitsToNextByte = self.dataCodeWord.length % 8;
		if (bitsToNextByte > 0) {
			var padBits = 8 - bitsToNextByte;
			for (var p = 0; p < padBits; p++) {
				self.dataCodeWord += "0";
			}
		}
		console.log("dataCodeWord: " + self.dataCodeWord + " (" + self.dataCodeWord.length / 8 + " bytes)");
		// Add alternating padding bytes (11101100 and 00010001)
		var paddingBytes = ["11101100", "00010001"];
		var paddingIndex = 0;
		while (self.dataCodeWord.length / 8 < self.maxDataBlock) {
			self.dataCodeWord += paddingBytes[paddingIndex];
			paddingIndex = (paddingIndex + 1) % 2;
		}
		console.log("dataCodeWord with padding: " + self.binToHex(self.dataCodeWord));
	};
	self.encodeNumeric();
	self.encodeECC();
	self.createPattern();
	return self;
});

/**** 
* Initialize Game
****/ 
var game = new LK.Game({
	backgroundColor: 0xAAAAAA
});

/**** 
* Game Code
****/ 
// Create QR code container
var qrCode = new QRCode("8675309");
qrCode.x = (2048 - qrCode.width) / 2;
qrCode.y = (2732 - qrCode.height) / 2;
game.addChild(qrCode);

===================================================================
--- original.js
+++ change.js
@@ -30,8 +30,11 @@
 				var absY = Math.abs(y);
 				// Outer black ring, white ring, inner black square
 				if (absX === 3 || absY === 3 || absX <= 1 && absY <= 1) {
 					self.placePixel(centerX + x, centerY + y, true);
+				} else if (absX === 2 || absY === 2) {
+					// White middle ring
+					self.placePixel(centerX + x, centerY + y, false);
 				}
 			}
 		}
 	};