非对称加密

定义
1976年,美国学者Dime和Henman为解决信息公开传送和密钥管理问题,提出一种新的密钥交换协议,允许在不安全的媒体上的通讯双方交换信息,安全地达成一致的密钥,这就是“公开密钥系统”。

简介:

  • 非对称加密算法又称现代加密算法
  • 非对称加密是计算机通信安全的基石,保证了加密数据不会被破解
  • 与对称加密算法不同,非对称加密算法需要两个密钥:公开密钥(publickey)私有密(privatekey)
  • 公开密钥和私有密钥是一对
  • 如果用公开密钥对数据进行加密,只有用对应的私有密钥才能解密
  • 如果用私有密钥对数据进行加密,只有用对应的公开密钥才能解密
  • 因为加密和解密使用的是两个不同的密钥,所以这种算法叫作非对称加密算法
即:
1.A要向B发送信息,A和B都要产生一对用于加密和解密的公钥和私钥
2.A的私钥保密,A的公钥告诉B;B的私钥保密,B的公钥告诉A。
3.A要给B发送信息时,A用B的公钥加密信息,因为A知道B的公钥。
4.A将这个消息发给B(已经用B的公钥加密消息)。
5.B收到这个消息后,B用自己的私钥解密A的消息。其他所有收到这个报文的人都无法解密,因为只有B才有B的私钥。

特点
算法强度复杂,安全性依赖于算法与密钥。
缺点
由于其算法复杂,而使得加密解密速度没有对称加密解密的速度快。
与对称加密算法的对比

  • 优点:其安全性更好,对称加密的通信双方使用相同的秘钥,如果一方的秘钥遭泄露,那么整个通信就会被破解。而非对称加密使用一对秘钥,一个用来加密,一个用来解密,而且公钥是公开的,秘钥是自己保存的,不需要像对称加密那样在通信之前要先同步秘钥。
  • 缺点:非对称加密的缺点是加密和解密花费时间长、速度慢,只适合对少量数据进行加密。

在非对称加密中使用的主要算法有:RSA、Elgamal、ESA、背包算法、Rabin、D-H、ECC(椭圆曲线加密算法)等。不同算法的实现机制不同,可参考对应算法的详细资料。

经典算法-->RSA

RSA算法基于一个十分简单的数论事实:将两个大质数(素数)相乘十分容易,但是想要对其乘积进行因式分解却极其困难,因此可以将乘积公开作为加密密钥。比如:取两个简单的质数:89、97,得到两者乘积很简单8633;但是要想对8633进行因式分解,其工作量成几何增加。

使用场景:

  • 支付宝开放平台的支付业务
    支付宝会让你生成公私钥(openssl可以直接生成)私钥放在自己的服务端(切记),公钥上传到支付宝的商户平台
    拿到订单信息的时候,请求服务端通过私钥签名后的订单信息
    然后调用支付宝的sdk,支付宝会拿公钥验签,验证成功之后才会进入支付选项。
  • Https网络请求的SSL层
    SSL层的简单过程如下:
    Https传输简单示意图

RSA应用场景:
由于RSA算法的加密解密速度要比对称算法速度慢很多,在实际应用中,通常采取
数据本身的加密和解密使用对称加密算法(AES)。
用RSA算法加密并传输对称算法所需的密钥。

@interface RSA : NSObject

// return base64 encoded string
+ (NSString *)encryptString:(NSString *)str publicKey:(NSString *)pubKey;
// return raw data
+ (NSData *)encryptData:(NSData *)data publicKey:(NSString *)pubKey;
// return base64 encoded string
+ (NSString *)encryptString:(NSString *)str privateKey:(NSString *)privKey;
// return raw data
+ (NSData *)encryptData:(NSData *)data privateKey:(NSString *)privKey;

// decrypt base64 encoded string, convert result to string(not base64 encoded)
+ (NSString *)decryptString:(NSString *)str publicKey:(NSString *)pubKey;
+ (NSData *)decryptData:(NSData *)data publicKey:(NSString *)pubKey;
+ (NSString *)decryptString:(NSString *)str privateKey:(NSString *)privKey;
+ (NSData *)decryptData:(NSData *)data privateKey:(NSString *)privKey;

@end
#import "RSA.h"
#import 

@implementation RSA

static NSString *base64_encode_data(NSData *data){
    data = [data base64EncodedDataWithOptions:0];
    NSString *ret = [[NSString alloc] initWithData:data encoding:NSUTF8StringEncoding];
    return ret;
}

static NSData *base64_decode(NSString *str){
    NSData *data = [[NSData alloc] initWithBase64EncodedString:str options:NSDataBase64DecodingIgnoreUnknownCharacters];
    return data;
}

+ (NSData *)stripPublicKeyHeader:(NSData *)d_key{
    // Skip ASN.1 public key header
    if (d_key == nil) return(nil);
    
    unsigned long len = [d_key length];
    if (!len) return(nil);
    
    unsigned char *c_key = (unsigned char *)[d_key bytes];
    unsigned int  idx    = 0;
    
    if (c_key[idx++] != 0x30) return(nil);
    
    if (c_key[idx] > 0x80) idx += c_key[idx] - 0x80 + 1;
    else idx++;
    
    // PKCS #1 rsaEncryption szOID_RSA_RSA
    static unsigned char seqiod[] =
    { 0x30,   0x0d, 0x06, 0x09, 0x2a, 0x86, 0x48, 0x86, 0xf7, 0x0d, 0x01, 0x01,
        0x01, 0x05, 0x00 };
    if (memcmp(&c_key[idx], seqiod, 15)) return(nil);
    
    idx += 15;
    
    if (c_key[idx++] != 0x03) return(nil);
    
    if (c_key[idx] > 0x80) idx += c_key[idx] - 0x80 + 1;
    else idx++;
    
    if (c_key[idx++] != '\0') return(nil);
    
    // Now make a new NSData from this buffer
    return([NSData dataWithBytes:&c_key[idx] length:len - idx]);
}

//credit: http://hg.mozilla.org/services/fx-home/file/tip/Sources/NetworkAndStorage/CryptoUtils.m#l1036
+ (NSData *)stripPrivateKeyHeader:(NSData *)d_key{
    // Skip ASN.1 private key header
    if (d_key == nil) return(nil);

    unsigned long len = [d_key length];
    if (!len) return(nil);

    unsigned char *c_key = (unsigned char *)[d_key bytes];
    unsigned int  idx    = 22; //magic byte at offset 22

    if (0x04 != c_key[idx++]) return nil;

    //calculate length of the key
    unsigned int c_len = c_key[idx++];
    int det = c_len & 0x80;
    if (!det) {
        c_len = c_len & 0x7f;
    } else {
        int byteCount = c_len & 0x7f;
        if (byteCount + idx > len) {
            //rsa length field longer than buffer
            return nil;
        }
        unsigned int accum = 0;
        unsigned char *ptr = &c_key[idx];
        idx += byteCount;
        while (byteCount) {
            accum = (accum << 8) + *ptr;
            ptr++;
            byteCount--;
        }
        c_len = accum;
    }

    // Now make a new NSData from this buffer
    return [d_key subdataWithRange:NSMakeRange(idx, c_len)];
}

+ (SecKeyRef)addPublicKey:(NSString *)key{
    NSRange spos = [key rangeOfString:@"-----BEGIN PUBLIC KEY-----"];
    NSRange epos = [key rangeOfString:@"-----END PUBLIC KEY-----"];
    if(spos.location != NSNotFound && epos.location != NSNotFound){
        NSUInteger s = spos.location + spos.length;
        NSUInteger e = epos.location;
        NSRange range = NSMakeRange(s, e-s);
        key = [key substringWithRange:range];
    }
    key = [key stringByReplacingOccurrencesOfString:@"\r" withString:@""];
    key = [key stringByReplacingOccurrencesOfString:@"\n" withString:@""];
    key = [key stringByReplacingOccurrencesOfString:@"\t" withString:@""];
    key = [key stringByReplacingOccurrencesOfString:@" "  withString:@""];
    
    // This will be base64 encoded, decode it.
    NSData *data = base64_decode(key);
    data = [RSA stripPublicKeyHeader:data];
    if(!data){
        return nil;
    }

    //a tag to read/write keychain storage
    NSString *tag = @"RSAUtil_PubKey";
    NSData *d_tag = [NSData dataWithBytes:[tag UTF8String] length:[tag length]];
    
    // Delete any old lingering key with the same tag
    NSMutableDictionary *publicKey = [[NSMutableDictionary alloc] init];
    [publicKey setObject:(__bridge id) kSecClassKey forKey:(__bridge id)kSecClass];
    [publicKey setObject:(__bridge id) kSecAttrKeyTypeRSA forKey:(__bridge id)kSecAttrKeyType];
    [publicKey setObject:d_tag forKey:(__bridge id)kSecAttrApplicationTag];
    SecItemDelete((__bridge CFDictionaryRef)publicKey);
    
    // Add persistent version of the key to system keychain
    [publicKey setObject:data forKey:(__bridge id)kSecValueData];
    [publicKey setObject:(__bridge id) kSecAttrKeyClassPublic forKey:(__bridge id)
     kSecAttrKeyClass];
    [publicKey setObject:[NSNumber numberWithBool:YES] forKey:(__bridge id)
     kSecReturnPersistentRef];
    
    CFTypeRef persistKey = nil;
    OSStatus status = SecItemAdd((__bridge CFDictionaryRef)publicKey, &persistKey);
    if (persistKey != nil){
        CFRelease(persistKey);
    }
    if ((status != noErr) && (status != errSecDuplicateItem)) {
        return nil;
    }

    [publicKey removeObjectForKey:(__bridge id)kSecValueData];
    [publicKey removeObjectForKey:(__bridge id)kSecReturnPersistentRef];
    [publicKey setObject:[NSNumber numberWithBool:YES] forKey:(__bridge id)kSecReturnRef];
    [publicKey setObject:(__bridge id) kSecAttrKeyTypeRSA forKey:(__bridge id)kSecAttrKeyType];
    
    // Now fetch the SecKeyRef version of the key
    SecKeyRef keyRef = nil;
    status = SecItemCopyMatching((__bridge CFDictionaryRef)publicKey, (CFTypeRef *)&keyRef);
    if(status != noErr){
        return nil;
    }
    return keyRef;
}

+ (SecKeyRef)addPrivateKey:(NSString *)key{
    NSRange spos;
    NSRange epos;
    spos = [key rangeOfString:@"-----BEGIN RSA PRIVATE KEY-----"];
    if(spos.length > 0){
        epos = [key rangeOfString:@"-----END RSA PRIVATE KEY-----"];
    }else{
        spos = [key rangeOfString:@"-----BEGIN PRIVATE KEY-----"];
        epos = [key rangeOfString:@"-----END PRIVATE KEY-----"];
    }
    if(spos.location != NSNotFound && epos.location != NSNotFound){
        NSUInteger s = spos.location + spos.length;
        NSUInteger e = epos.location;
        NSRange range = NSMakeRange(s, e-s);
        key = [key substringWithRange:range];
    }
    key = [key stringByReplacingOccurrencesOfString:@"\r" withString:@""];
    key = [key stringByReplacingOccurrencesOfString:@"\n" withString:@""];
    key = [key stringByReplacingOccurrencesOfString:@"\t" withString:@""];
    key = [key stringByReplacingOccurrencesOfString:@" "  withString:@""];

    // This will be base64 encoded, decode it.
    NSData *data = base64_decode(key);
    data = [RSA stripPrivateKeyHeader:data];
    if(!data){
        return nil;
    }

    //a tag to read/write keychain storage
    NSString *tag = @"RSAUtil_PrivKey";
    NSData *d_tag = [NSData dataWithBytes:[tag UTF8String] length:[tag length]];

    // Delete any old lingering key with the same tag
    NSMutableDictionary *privateKey = [[NSMutableDictionary alloc] init];
    [privateKey setObject:(__bridge id) kSecClassKey forKey:(__bridge id)kSecClass];
    [privateKey setObject:(__bridge id) kSecAttrKeyTypeRSA forKey:(__bridge id)kSecAttrKeyType];
    [privateKey setObject:d_tag forKey:(__bridge id)kSecAttrApplicationTag];
    SecItemDelete((__bridge CFDictionaryRef)privateKey);

    // Add persistent version of the key to system keychain
    [privateKey setObject:data forKey:(__bridge id)kSecValueData];
    [privateKey setObject:(__bridge id) kSecAttrKeyClassPrivate forKey:(__bridge id)
     kSecAttrKeyClass];
    [privateKey setObject:[NSNumber numberWithBool:YES] forKey:(__bridge id)
     kSecReturnPersistentRef];

    CFTypeRef persistKey = nil;
    OSStatus status = SecItemAdd((__bridge CFDictionaryRef)privateKey, &persistKey);
    if (persistKey != nil){
        CFRelease(persistKey);
    }
    if ((status != noErr) && (status != errSecDuplicateItem)) {
        return nil;
    }

    [privateKey removeObjectForKey:(__bridge id)kSecValueData];
    [privateKey removeObjectForKey:(__bridge id)kSecReturnPersistentRef];
    [privateKey setObject:[NSNumber numberWithBool:YES] forKey:(__bridge id)kSecReturnRef];
    [privateKey setObject:(__bridge id) kSecAttrKeyTypeRSA forKey:(__bridge id)kSecAttrKeyType];

    // Now fetch the SecKeyRef version of the key
    SecKeyRef keyRef = nil;
    status = SecItemCopyMatching((__bridge CFDictionaryRef)privateKey, (CFTypeRef *)&keyRef);
    if(status != noErr){
        return nil;
    }
    return keyRef;
}

/* START: Encryption & Decryption with RSA private key */

+ (NSData *)encryptData:(NSData *)data withKeyRef:(SecKeyRef) keyRef isSign:(BOOL)isSign {
    const uint8_t *srcbuf = (const uint8_t *)[data bytes];
    size_t srclen = (size_t)data.length;
    
    size_t block_size = SecKeyGetBlockSize(keyRef) * sizeof(uint8_t);
    void *outbuf = malloc(block_size);
    size_t src_block_size = block_size - 11;
    
    NSMutableData *ret = [[NSMutableData alloc] init];
    for(int idx=0; idx src_block_size){
            data_len = src_block_size;
        }
        
        size_t outlen = block_size;
        OSStatus status = noErr;
        
        if (isSign) {
            status = SecKeyRawSign(keyRef,
                                   kSecPaddingPKCS1,
                                   srcbuf + idx,
                                   data_len,
                                   outbuf,
                                   &outlen
                                   );
        } else {
            status = SecKeyEncrypt(keyRef,
                                   kSecPaddingPKCS1,
                                   srcbuf + idx,
                                   data_len,
                                   outbuf,
                                   &outlen
                                   );
        }
        if (status != 0) {
            NSLog(@"SecKeyEncrypt fail. Error Code: %d", status);
            ret = nil;
            break;
        }else{
            [ret appendBytes:outbuf length:outlen];
        }
    }
    
    free(outbuf);
    CFRelease(keyRef);
    return ret;
}

+ (NSString *)encryptString:(NSString *)str privateKey:(NSString *)privKey{
    NSData *data = [RSA encryptData:[str dataUsingEncoding:NSUTF8StringEncoding] privateKey:privKey];
    NSString *ret = base64_encode_data(data);
    return ret;
}

+ (NSData *)encryptData:(NSData *)data privateKey:(NSString *)privKey{
    if(!data || !privKey){
        return nil;
    }
    SecKeyRef keyRef = [RSA addPrivateKey:privKey];
    if(!keyRef){
        return nil;
    }
    return [RSA encryptData:data withKeyRef:keyRef isSign:YES];
}

+ (NSData *)decryptData:(NSData *)data withKeyRef:(SecKeyRef) keyRef{
    const uint8_t *srcbuf = (const uint8_t *)[data bytes];
    size_t srclen = (size_t)data.length;
    
    size_t block_size = SecKeyGetBlockSize(keyRef) * sizeof(uint8_t);
    UInt8 *outbuf = malloc(block_size);
    size_t src_block_size = block_size;
    
    NSMutableData *ret = [[NSMutableData alloc] init];
    for(int idx=0; idx src_block_size){
            data_len = src_block_size;
        }
        
        size_t outlen = block_size;
        OSStatus status = noErr;
        status = SecKeyDecrypt(keyRef,
                               kSecPaddingNone,
                               srcbuf + idx,
                               data_len,
                               outbuf,
                               &outlen
                               );
        if (status != 0) {
            NSLog(@"SecKeyEncrypt fail. Error Code: %d", status);
            ret = nil;
            break;
        }else{
            //the actual decrypted data is in the middle, locate it!
            int idxFirstZero = -1;
            int idxNextZero = (int)outlen;
            for ( int i = 0; i < outlen; i++ ) {
                if ( outbuf[i] == 0 ) {
                    if ( idxFirstZero < 0 ) {
                        idxFirstZero = i;
                    } else {
                        idxNextZero = i;
                        break;
                    }
                }
            }
            
            [ret appendBytes:&outbuf[idxFirstZero+1] length:idxNextZero-idxFirstZero-1];
        }
    }
    
    free(outbuf);
    CFRelease(keyRef);
    return ret;
}


+ (NSString *)decryptString:(NSString *)str privateKey:(NSString *)privKey{
    NSData *data = [[NSData alloc] initWithBase64EncodedString:str options:NSDataBase64DecodingIgnoreUnknownCharacters];
    data = [RSA decryptData:data privateKey:privKey];
    NSString *ret = [[NSString alloc] initWithData:data encoding:NSUTF8StringEncoding];
    return ret;
}

+ (NSData *)decryptData:(NSData *)data privateKey:(NSString *)privKey{
    if(!data || !privKey){
        return nil;
    }
    SecKeyRef keyRef = [RSA addPrivateKey:privKey];
    if(!keyRef){
        return nil;
    }
    return [RSA decryptData:data withKeyRef:keyRef];
}

/* END: Encryption & Decryption with RSA private key */

/* START: Encryption & Decryption with RSA public key */

+ (NSString *)encryptString:(NSString *)str publicKey:(NSString *)pubKey{
    NSData *data = [RSA encryptData:[str dataUsingEncoding:NSUTF8StringEncoding] publicKey:pubKey];
    NSString *ret = base64_encode_data(data);
    return ret;
}

+ (NSData *)encryptData:(NSData *)data publicKey:(NSString *)pubKey{
    if(!data || !pubKey){
        return nil;
    }
    SecKeyRef keyRef = [RSA addPublicKey:pubKey];
    if(!keyRef){
        return nil;
    }
    return [RSA encryptData:data withKeyRef:keyRef isSign:NO];
}

+ (NSString *)decryptString:(NSString *)str publicKey:(NSString *)pubKey{
    NSData *data = [[NSData alloc] initWithBase64EncodedString:str options:NSDataBase64DecodingIgnoreUnknownCharacters];
    data = [RSA decryptData:data publicKey:pubKey];
    NSString *ret = [[NSString alloc] initWithData:data encoding:NSUTF8StringEncoding];
    return ret;
}

+ (NSData *)decryptData:(NSData *)data publicKey:(NSString *)pubKey{
    if(!data || !pubKey){
        return nil;
    }
    SecKeyRef keyRef = [RSA addPublicKey:pubKey];
    if(!keyRef){
        return nil;
    }
    return [RSA decryptData:data withKeyRef:keyRef];
}

/* END: Encryption & Decryption with RSA public key */

非对称加密工作原理

下面我们就看一下非对称加密的工作原理。

  • 乙方生成一对密钥(公钥和私钥)并将公钥向其它方公开。
  • 得到该公钥的甲方使用该密钥对机密信息进行加密后再发送给乙方。
  • 乙方再用自己保存的另一把专用密钥(私钥)对加密后的信息进行解密。乙方只能用其专用密钥(私钥)解密由对应的公钥加密后的信息。
  • 在传输过程中,即使攻击者截获了传输的密文,并得到了乙的公钥,也无法破解密文,因为只有乙的私钥才能解密密文。同样,如果乙要回复加密信息给甲,那么需要甲先公布甲的公钥给乙用于加密,甲自己保存甲的私钥用于解密。

如下图所示,甲乙之间使用非对称加密的方式完成了重要信息的安全传输。

image

非对称加密ios代码层实现

1. RSA算法

下面先看一下RSA算法的ios实现。

首先我们要用Terminal生成几个文件(包括公钥,私钥和证书)。

openssl genrsa -out private_key.pem 1024

openssl req -new -key private_key.pem -out rsaCertReq.csr

openssl x509 -req -days 3650 -in rsaCertReq.csr -signkey private_key.pem -out rsaCert.crt

//为ios创建 public_key.der 
openssl x509 -outform der -in rsaCert.crt -out public_key.der               

// 为ios创建 private_key.p12,这一步,请记住你输入的密码,IOS代码里会用到
openssl pkcs12 -export -out private_key.p12 -inkey private_key.pem -in rsaCert.crt  

// 为JAVA创建 rsa_public_key.pem
openssl rsa -in private_key.pem -out rsa_public_key.pem -pubout             

// 为JAVA创建 pkcs8_private_key.pem
openssl pkcs8 -topk8 -in private_key.pem -out pkcs8_private_key.pem -nocrypt     

下面就是代码部分了。

1\. JJRSAVC.m

#import "JJRSAVC.h"

@interface JJRSAVC ()

@property (nonatomic, assign) BOOL isEncode;
@property (nonatomic, assign) SecKeyRef publicKey;
@property (nonatomic, assign) SecKeyRef privateKey;
@property (nonatomic, copy) NSString *encryptStr;

@end

@implementation JJRSAVC

#pragma mark - Override Base Function

- (void)viewDidLoad
{
    [super viewDidLoad];

    self.view.backgroundColor = [UIColor lightGrayColor];

    self.isEncode = YES;
}

- (void)touchesBegan:(NSSet *)touches withEvent:(UIEvent *)event
{
    if (self.isEncode) {
        //加密
        NSString *rsaEncryptResult = [self beginEncryptWithStr:@"Celin"];
        NSLog(@"加密结果 = %@", rsaEncryptResult);
        self.encryptStr = rsaEncryptResult;
    }
    else {
        //解密
        NSString * rsaDecryptResult = [self beginDecryptWithStr:self.encryptStr];
        NSLog(@"解密结果 = %@", rsaDecryptResult);
    }
}

#pragma mark - Object Private Function

//加密

- (NSString *)beginEncryptWithStr: (NSString *)inputStr
{
    self.isEncode = NO;

    [self loadPublicKeyFromFile:@"/Users/lily/Desktop/RSA/public_key.der"];

    NSString *result = [self rsaEncryptString:inputStr];

    return result;
}

- (NSString*)rsaEncryptString:(NSString*)string
{
    NSData *data = [string dataUsingEncoding:NSUTF8StringEncoding];
    NSData *encryptedData = [self rsaEncryptData: data];
    NSString* base64EncryptedString = [encryptedData base64EncodedStringWithOptions:0];;
    return base64EncryptedString;
}

- (void)loadPublicKeyFromFile:(NSString*)derFilePath
{
    NSData *derData = [[NSData alloc] initWithContentsOfFile:derFilePath];
    [self loadPublicKeyFromData: derData];
}

- (void)loadPublicKeyFromData:(NSData*)derData
{
    self.publicKey = [self getPublicKeyRefrenceFromeData:derData];
}

- (SecKeyRef)getPublicKeyRefrenceFromeData:(NSData*)derData
{
    SecCertificateRef myCertificate = SecCertificateCreateWithData(kCFAllocatorDefault, (__bridge CFDataRef)derData);
    SecPolicyRef myPolicy = SecPolicyCreateBasicX509();
    SecTrustRef myTrust;
    OSStatus status = SecTrustCreateWithCertificates(myCertificate,myPolicy,&myTrust);
    SecTrustResultType trustResult;
    if (status == noErr) {
        status = SecTrustEvaluate(myTrust, &trustResult);
    }
    SecKeyRef securityKey = SecTrustCopyPublicKey(myTrust);
    CFRelease(myCertificate);
    CFRelease(myPolicy);
    CFRelease(myTrust);

    return securityKey;
}

// 加密的大小受限于SecKeyEncrypt函数,SecKeyEncrypt要求明文和密钥的长度一致,如果要加密更长的内容,需要把内容按密钥长度分成多份,然后多次调用SecKeyEncrypt来实现

- (NSData *)rsaEncryptData:(NSData*)data
{
    SecKeyRef key = self.publicKey;
    size_t cipherBufferSize = SecKeyGetBlockSize(key);
    uint8_t *cipherBuffer = malloc(cipherBufferSize * sizeof(uint8_t));
    size_t blockSize = cipherBufferSize - 11;       // 分段加密
    size_t blockCount = (size_t)ceil([data length] / (double)blockSize);
    NSMutableData *encryptedData = [[NSMutableData alloc] init] ;
    for (int i=0; i 0) {
        CFDictionaryRef identityDict = CFArrayGetValueAtIndex(items, 0);
        SecIdentityRef identityApp = (SecIdentityRef)CFDictionaryGetValue(identityDict, kSecImportItemIdentity);
        securityError = SecIdentityCopyPrivateKey(identityApp, &privateKeyRef);
        if (securityError != noErr) {
            privateKeyRef = NULL;
        }
    }
    if (items) CFRelease(items);

    return privateKeyRef;
}

- (NSString *)rsaDecryptString:(NSString*)string
{
    NSData* data = [[NSData alloc] initWithBase64EncodedString:string options:NSDataBase64DecodingIgnoreUnknownCharacters];
    NSData* decryptData = [self rsaDecryptData: data];
    NSString* result = [[NSString alloc] initWithData: decryptData encoding:NSUTF8StringEncoding];
    return result;
}

- (NSData *)rsaDecryptData:(NSData*)data
{
    SecKeyRef keyRef = self.privateKey;

    const uint8_t *srcbuf = (const uint8_t *)[data bytes];
    size_t srclen = (size_t)data.length;

    size_t block_size = SecKeyGetBlockSize(keyRef) * sizeof(uint8_t);
    UInt8 *outbuf = malloc(block_size);
    size_t src_block_size = block_size;

    NSMutableData *ret = [[NSMutableData alloc] init];
    for(int idx = 0; idx < srclen; idx += src_block_size){

        size_t data_len = srclen - idx;
        if(data_len > src_block_size){
            data_len = src_block_size;
        }

        size_t outlen = block_size;
        OSStatus status = SecKeyDecrypt(keyRef, kSecPaddingNone, srcbuf + idx, data_len, outbuf, &outlen);
        if (status == noErr) {
            int idxFirstZero = -1;
            int idxNextZero = (int)outlen;
            for ( int i = 0; i < outlen; i++ ) {
                if ( outbuf[i] == 0 ) {
                    if ( idxFirstZero < 0 ) {
                        idxFirstZero = i;
                    }
                    else {
                        idxNextZero = i;
                        break;
                    }
                }
            }
            [ret appendBytes:&outbuf[idxFirstZero+1] length:idxNextZero-idxFirstZero-1];
        }
        else {
            if (outbuf)
                free(outbuf);
            return nil;
        }
    }
    if (outbuf)
        free(outbuf);
    return ret;
}

@end

其他

CRC

CRC即循环冗余校验码(Cyclic Redundancy Check [1] ):是数据通信领域中最常用的一种查错校验码,其特征是信息字段和校验字段的长度可以任意选定。
循环冗余检查(CRC)是一种数据传输检错功能,对数据进行多项式计算,并将得到的结果附在帧的后面,接收设备也执行类似的算法,以保证数据传输的正确性和完整性。

#import 

ZEXTERN uLong ZEXPORT crc32   OF((uLong crc, const Bytef *buf, uInt len));
/*
     Update a running CRC-32 with the bytes buf[0..len-1] and return the
   updated CRC-32.  If buf is Z_NULL, this function returns the required
   initial value for the crc.  Pre- and post-conditioning (one's complement) is
   performed within this function so it shouldn't be done by the application.

   Usage example:

     uLong crc = crc32(0L, Z_NULL, 0);

     while (read_buffer(buffer, length) != EOF) {
       crc = crc32(crc, buffer, length);
     }
     if (crc != original_crc) error();
*/

链接:https://www.jianshu.com/p/3b1cd06bdb49

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