使用 Elliptic-Curves Diffie-Hellman,我想连接客户端上的 SLCL - JS (文档)和服务器上的 OpenSSL - Ruby (文档)。
我在这里找到了一个类似的问题,但它并没有真正得到正确的回答,而且它也不是我真正想要的,因为它使用了sjcl.ecc.elGamal.generateKeys(384, 10)
,而我希望使用sjcl.ecc.curves['c384']
<- NIST
尽管如此,我仍然使用并修改了他的代码来测试,因为我在使用sjcl.ecc.curves['c384']
生成单个公共点密钥时遇到了问题,这就是我想出的。
//Javascript
keypair = sjcl.ecc.elGamal.generateKeys(384, 10);
console.log(keypair.pub._point.toBits()); //Changed from his serialize()
这输出到
[-1992414123, 638637875, 1917312913, 73389700, -425224557, 743777818, 970253455, 723842951, -1751664279, 982132367, -1949786746, 1067402923, -869929568, 157928816, 1651634060, 1968161300, -216192372, -1858642177, -1345910998, -2128793177, -1325754797, 143080818, 1868787479, -484135391]
使用 ruby 的输出:
#Ruby
pointArr = [-1992414123, 638637875, 1917312913, 73389700, -425224557, 743777818, 970253455, 723842951, -1751664279, 982132367, -1949786746, 1067402923, -869929568, 157928816, 1651634060, 1968161300, -216192372, -1858642177, -1345910998, -2128793177, -1325754797, 143080818, 1868787479, -484135391]
# ugly bit magic to somehow convert the above array into a proper byte array (in form of a string)
pointStr = [(pointArr.map { |i| (i>=0)?('0'*(8-i.to_s(16).length)+i.to_s(16)):("%08X" % (2**32-1+i+1)) }*'').upcase].pack("H*")
#My modified code
pointInt = pointStr.unpack('B*').first.to_i(2) #Convert BitStr to integer
pointBN = OpenSSL::BN.new(pointInt.to_s, 10) #Int to BigNumber (to be used as param below)
group = OpenSSL::PKey::EC::Group.new('secp384r1') #EC Group to be used
client_pub_point = OpenSSL::PKey::EC::Point.new(group, pointBN)
# ^
# ^ ABOVE'S MY PROBLEM -> OpenSSL::PKey::EC::Point::Error: invalid encoding
# ^
#Server EC: code taken and modified from https://www.ruby-forum.com/topic/3966195
ec = OpenSSL::PKey::EC.new(group)
ec.generate_key
pub = OpenSSL::PKey::EC.new(group)
pub.public_key = client_pub_point
#Compute Shared Key
shared_key = ec.dh_compute_key(pub.public_key)
puts shared_key.unpack('I>*')
当使用上面 [(link)] ( https://www.ruby-forum.com/topic/3966195 )中的原始代码时,此“放置”如下所示
3747233514
2683763564
475565567
1087119841
857380668
2490387914
3548975947
2348082236
2093543365
1477205987
4289120093
3330807042
应该是这样,但以防万一这是我的测试
irb(main):113:0> ec = OpenSSL::PKey::EC.new(group)
=> #<OpenSSL::PKey::EC:0x37f4250>
irb(main):114:0> ec.generate_key
=> #<OpenSSL::PKey::EC:0x37f4250>
irb(main):115:0> pub = OpenSSL::PKey::EC.new(group)
=> #<OpenSSL::PKey::EC:0x374f070>
irb(main):116:0> pub.public_key = ec.public_key
=> #<OpenSSL::PKey::EC::Point:0x37f8090>
irb(main):117:0> pub.public_key.to_bn
=> 7699789176960498967958014210931326569901199635665512831714857096185925821659134057981449113945854620725216613989823482205311316333140754760317456176281271361802541262755346331375041208726203461213190230560617504850860621520632944763
irb(main):119:0> OpenSSL::PKey::EC::Point.new(group, pub.public_key.to_bn)
=> #<OpenSSL::PKey::EC:0x4029f48>
#The ABOVE FORMAT works, unlike the error I got like the following
irb(main):122:0> pointBN
=> 832312614609895991150696681555479456971598284480953722479085426901428295415600048953528780331647571635767075686130334170313461289491500162782258792834115040597490936949579748064005380309022482780162833924377801386781542770068991521
irb(main):123:0> OpenSSL::PKey::EC::Point.new(group, pointBN)
OpenSSL::PKey::EC::Point::Error: invalid encoding
但是比较上面的工作和不工作,似乎小数位数的总数是相同的,所以我认为我有点走上正轨,但我真的无法解决。
对于那些可能遇到此类问题的人,这些是我的参考代码(1) (2) (3) (4) (5)
我被困在这两天了,网上似乎没有太多关于这方面的文章,而且我找不到任何其他支持椭圆曲线的 JS 库。任何帮助将非常感激。