iOS中使用RSA加密详解

在ios中使用rsa加密解密，需要用到.der和.p12后缀格式的文件，其中.der格式的文件存放的是公钥（public key）用于加密，.p12格式的文件存放的是私钥（private key）用于解密. 首先需要先生成这些文件，然后再将文件导入工程使用，不多说，开始做！

一、使用openssl生成所需秘钥文件

生成环境是在mac系统下，使用openssl进行生成，首先打开终端，按下面这些步骤依次来做：

1. 生成模长为1024bit的私钥文件private_key.pem

openssl genrsa -out private_key.pem 1024

2. 生成证书请求文件rsacertreq.csr

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

注意：这一步会提示输入国家、省份、mail等信息，可以根据实际情况填写，或者全部不用填写，直接全部敲回车.

3. 生成证书rsacert.crt，并设置有效时间为1年

openssl x509 -req -days 3650 -in rsacerreq.csr -signkey private_key.pem -out rsacert.crt

4. 生成供ios使用的公钥文件public_key.der

openssl x509 -outform der -in rsacert.crt -out public_key.der

5. 生成供ios使用的私钥文件private_key.p12

openssl pkcs12 -export -out private_key.p12 -inkey private_key.pem -in rsacert.crt

注意：这一步会提示给私钥文件设置密码，直接输入想要设置密码即可，然后敲回车，然后再验证刚才设置的密码，再次输入密码，然后敲回车，完毕！

在解密时，private_key.p12文件需要和这里设置的密码配合使用，因此需要牢记此密码.

6. 生成供java使用的公钥rsa_public_key.pem

openssl rsa -in private_key.pem -out rsa_public_key.pem -pubout

7. 生成供java使用的私钥pkcs8_private_key.pem

openssl pkcs8 -topk8 -in private_key.pem -out pkcs8_private_key.pem -nocrypt

全部执行成功后，会生成如下文件，其中public_key.der和private_key.p12就是ios需要用到的文件，如下图：

生成的文件

二、将文件导入工程使用

1.新建工程, 并导入security.framework框架, 如下图:

新建工程并添加框架

2.导入秘钥文件

导入.der和.p12格式的秘钥文件, 如下图:

导入秘钥文件

3.新建用于加密、解密的类rsaencryptor, 并实现相关方法

新建rsaencryptor类, 如下图:

新建用于加密解密的类

下面开始上代码, 可以直接复制过去用:

rsaencryptor.h代码如下:

#import <foundation/foundation.h>
@interface rsaencryptor : nsobject
/**
 * 加密方法
 *
 * @param str 需要加密的字符串
 * @param path '.der'格式的公钥文件路径
 */
+ (nsstring *)encryptstring:(nsstring *)str publickeywithcontentsoffile:(nsstring *)path;
/**
 * 解密方法
 *
 * @param str 需要解密的字符串
 * @param path '.p12'格式的私钥文件路径
 * @param password 私钥文件密码
 */
+ (nsstring *)decryptstring:(nsstring *)str privatekeywithcontentsoffile:(nsstring *)path password:(nsstring *)password;
/**
 * 加密方法
 *
 * @param str 需要加密的字符串
 * @param pubkey 公钥字符串
 */
+ (nsstring *)encryptstring:(nsstring *)str publickey:(nsstring *)pubkey;
/**
 * 解密方法
 *
 * @param str 需要解密的字符串
 * @param privkey 私钥字符串
 */
+ (nsstring *)decryptstring:(nsstring *)str privatekey:(nsstring *)privkey;
@end
rsaencryptor.m代码如下:
#import "rsaencryptor.h"
#import <security/security.h>
@implementation rsaencryptor
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;
}
#pragma mark - 使用'.der'公钥文件加密
//加密
+ (nsstring *)encryptstring:(nsstring *)str publickeywithcontentsoffile:(nsstring *)path{
 if (!str || !path) return nil;
 return [self encryptstring:str publickeyref:[self getpublickeyrefwithcontentsoffile:path]];
}
//获取公钥
+ (seckeyref)getpublickeyrefwithcontentsoffile:(nsstring *)filepath{
 nsdata *certdata = [nsdata datawithcontentsoffile:filepath];
 if (!certdata) {
 return nil;
 }
 seccertificateref cert = seccertificatecreatewithdata(null, (cfdataref)certdata);
 seckeyref key = null;
 sectrustref trust = null;
 secpolicyref policy = null;
 if (cert != null) {
 policy = secpolicycreatebasicx509();
 if (policy) {
  if (sectrustcreatewithcertificates((cftyperef)cert, policy, &trust) == noerr) {
  sectrustresulttype result;
  if (sectrustevaluate(trust, &result) == noerr) {
   key = sectrustcopypublickey(trust);
  }
  }
 }
 }
 if (policy) cfrelease(policy);
 if (trust) cfrelease(trust);
 if (cert) cfrelease(cert);
 return key;
}
+ (nsstring *)encryptstring:(nsstring *)str publickeyref:(seckeyref)publickeyref{
 if(![str datausingencoding:nsutf8stringencoding]){
 return nil;
 }
 if(!publickeyref){
 return nil;
 }
 nsdata *data = [self encryptdata:[str datausingencoding:nsutf8stringencoding] withkeyref:publickeyref];
 nsstring *ret = base64_encode_data(data);
 return ret;
}
#pragma mark - 使用'.12'私钥文件解密
//解密
+ (nsstring *)decryptstring:(nsstring *)str privatekeywithcontentsoffile:(nsstring *)path password:(nsstring *)password{
 if (!str || !path) return nil;
 if (!password) password = @"";
 return [self decryptstring:str privatekeyref:[self getprivatekeyrefwithcontentsoffile:path password:password]];
}
//获取私钥
+ (seckeyref)getprivatekeyrefwithcontentsoffile:(nsstring *)filepath password:(nsstring*)password{
 nsdata *p12data = [nsdata datawithcontentsoffile:filepath];
 if (!p12data) {
 return nil;
 }
 seckeyref privatekeyref = null;
 nsmutabledictionary * options = [[nsmutabledictionary alloc] init];
 [options setobject: password forkey:(__bridge id)ksecimportexportpassphrase];
 cfarrayref items = cfarraycreate(null, 0, 0, null);
 osstatus securityerror = secpkcs12import((__bridge cfdataref) p12data, (__bridge cfdictionaryref)options, &items);
 if (securityerror == noerr && cfarraygetcount(items) > 0) {
 cfdictionaryref identitydict = cfarraygetvalueatindex(items, 0);
 secidentityref identityapp = (secidentityref)cfdictionarygetvalue(identitydict, ksecimportitemidentity);
 securityerror = secidentitycopyprivatekey(identityapp, &privatekeyref);
 if (securityerror != noerr) {
  privatekeyref = null;
 }
 }
 cfrelease(items);
 return privatekeyref;
}
+ (nsstring *)decryptstring:(nsstring *)str privatekeyref:(seckeyref)privkeyref{
 nsdata *data = [[nsdata alloc] initwithbase64encodedstring:str options:nsdatabase64decodingignoreunknowncharacters];
 if (!privkeyref) {
 return nil;
 }
 data = [self decryptdata:data withkeyref:privkeyref];
 nsstring *ret = [[nsstring alloc] initwithdata:data encoding:nsutf8stringencoding];
 return ret;
}
#pragma mark - 使用公钥字符串加密
/* start: encryption with rsa public key */
//使用公钥字符串加密
+ (nsstring *)encryptstring:(nsstring *)str publickey:(nsstring *)pubkey{
 nsdata *data = [self 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 = [self addpublickey:pubkey];
 if(!keyref){
 return nil;
 }
 return [self encryptdata:data withkeyref:keyref];
}
+ (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 = [self 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;
}
+ (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]);
}
+ (nsdata *)encryptdata:(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);
 void *outbuf = malloc(block_size);
 size_t src_block_size = block_size - 11;
 nsmutabledata *ret = [[nsmutabledata alloc] init];
 for(int idx=0; idx<srclen; idx+=src_block_size){
 //nslog(@"%d/%d block_size: %d", idx, (int)srclen, (int)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 = noerr;
 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;
}
/* end: encryption with rsa public key */
#pragma mark - 使用私钥字符串解密
/* start: decryption with rsa private key */
//使用私钥字符串解密
+ (nsstring *)decryptstring:(nsstring *)str privatekey:(nsstring *)privkey{
 if (!str) return nil;
 nsdata *data = [[nsdata alloc] initwithbase64encodedstring:str options:nsdatabase64decodingignoreunknowncharacters];
 data = [self 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 = [self addprivatekey:privkey];
 if(!keyref){
 return nil;
 }
 return [self decryptdata:data withkeyref:keyref];
}
+ (seckeyref)addprivatekey:(nsstring *)key{
 nsrange spos = [key rangeofstring:@"-----begin rsa private key-----"];
 nsrange epos = [key rangeofstring:@"-----end rsa 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 = [self 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;
}
+ (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)];
}
+ (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<srclen; idx+=src_block_size){
 //nslog(@"%d/%d block_size: %d", idx, (int)srclen, (int)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 = 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;
}
/* end: decryption with rsa private key */
@end

4. 测试加密、解密

首先先测试使用.der和.p12秘钥文件进行加密、解密, 在viewcontroller.m中进行测试, 代码如下:

#import "viewcontroller.h"
#import "rsaencryptor.h"
@interface viewcontroller ()
@end
@implementation viewcontroller
- (void)viewdidload {
 [super viewdidload];
 //原始数据
 nsstring *originalstring = @"这是一段将要使用'.der'文件加密的字符串!";
 //使用.der和.p12中的公钥私钥加密解密
 nsstring *public_key_path = [[nsbundle mainbundle] pathforresource:@"public_key.der" oftype:nil];
 nsstring *private_key_path = [[nsbundle mainbundle] pathforresource:@"private_key.p12" oftype:nil];
 nsstring *encryptstr = [rsaencryptor encryptstring:originalstring publickeywithcontentsoffile:public_key_path];
 nslog(@"加密前:%@", originalstring);
 nslog(@"加密后:%@", encryptstr);
 nslog(@"解密后:%@", [rsaencryptor decryptstring:encryptstr privatekeywithcontentsoffile:private_key_path password:@"123456"]);

}
- (void)didreceivememorywarning {
 [super didreceivememorywarning];
 // dispose of any resources that can be recreated.
}
@end

运行后, 输出信息如下:

输出结果

可以看到已经可以成功加密、解密了.

下面接着测试使用秘钥字符串进行加密、解密, 那么秘钥字符串从哪里来? 可以来这里:http://web.chacuo.net/netrsakeypair, 这是一个在线生成rsa秘钥的网站, 生成公钥和秘钥后, 复制出来用于测试. 然后在viewcontroller.m中使用rsaentryptor.h头文件中对应的加密方法进行加密, viewcontroller.m中代码如下:

#import "viewcontroller.h"
#import "rsaencryptor.h"
@interface viewcontroller ()
@end
@implementation viewcontroller
- (void)viewdidload {
 [super viewdidload];

 //原始数据
 nsstring *originalstring = @"这是一段将要使用'秘钥字符串'进行加密的字符串!";

 //使用字符串格式的公钥私钥加密解密
 nsstring *encryptstr = [rsaencryptor encryptstring:originalstring publickey:@"migfma0gcsqgsib3dqebaquaa4gnadcbiqkbgqdtbz6cnh9pgdf60aqkvelz3ftalyzhqwbp601y77szmghx3f5novuzbdk7umdoclk4fbzitewyd9dwvaerxzo9bfui96baop8wfl1vkzyyhtcznxnjfgsqd/b70/exmgmbpewkaadyuqijidvgh1fqk/4acws39yxwbs+ilhspsqidaqab"];
 nslog(@"加密前:%@", originalstring);
 nslog(@"加密后:%@", encryptstr);
 nslog(@"解密后:%@", [rsaencryptor decryptstring:encryptstr privatekey:@"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"]);
}
- (void)didreceivememorywarning {
 [super didreceivememorywarning];
 // dispose of any resources that can be recreated.
}
@end

运行后, 输出信息如下:

输出结果

可以看到,也成功加密、解密了.

至此, rsa加密演示完毕!

以上就是本文的全部内容，希望本文的内容对大家的学习或者工作能带来一定的帮助，同时也希望多多支持！