(Objective-C) Understanding a few ECDSA Public Key Formats

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Describes a few ECDSA public key formats.

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#import <CkoStringBuilder.h>
#import <CkoPublicKey.h>
#import <CkoBinData.h>

// Here we have the output of the following openssl command:  openssl ec -in key.pem -pubout -text

// Private-Key: (256 bit)
// priv:
//     0e:63:25:8a:73:3c:71:b6:c0:e7:a3:0f:94:b9:74:
//     e0:be:bd:46:18:be:40:7e:66:9e:21:99:85:0e:ed:
//     87:2d
// pub:
//     04:5d:1a:4f:d9:bd:49:9e:e4:fd:55:2c:0d:ea:6d:
//     b1:66:64:7a:71:91:13:63:86:fe:ca:94:d4:47:51:
//     39:66:ff:43:d5:62:de:f2:f2:41:3c:2e:3f:95:18:
//     2d:23:f7:e7:8e:75:19:3b:c6:50:fb:d9:90:f5:e8:
//     12:b7:b8:6a:43
// ASN1 OID: prime256v1
// NIST CURVE: P-256
// writing EC key
// -----BEGIN PUBLIC KEY-----
// MFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEXRpP2b1JnuT9VSwN6m2xZmR6cZET
// Y4b+ypTUR1E5Zv9D1WLe8vJBPC4/lRgtI/fnjnUZO8ZQ+9mQ9egSt7hqQw==
// -----END PUBLIC KEY-----

// The public key is shown in two different formats.
// The first is this:

// pub:
//     04:5d:1a:4f:d9:bd:49:9e:e4:fd:55:2c:0d:ea:6d:
//     b1:66:64:7a:71:91:13:63:86:fe:ca:94:d4:47:51:
//     39:66:ff:43:d5:62:de:f2:f2:41:3c:2e:3f:95:18:
//     2d:23:f7:e7:8e:75:19:3b:c6:50:fb:d9:90:f5:e8:
//     12:b7:b8:6a:43

// It is the ANSI X9.63 format.
// 65-bytes are the uncompressed public key (04 || X || Y) 

// This is the same public key, but in PEM format

// -----BEGIN PUBLIC KEY-----
// MFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEXRpP2b1JnuT9VSwN6m2xZmR6cZET
// Y4b+ypTUR1E5Zv9D1WLe8vJBPC4/lRgtI/fnjnUZO8ZQ+9mQ9egSt7hqQw==
// -----END PUBLIC KEY-----

// It contains ASN.1 that more explicitly identifies the key type.
// 
// SEQUENCE (2 elem)
//   SEQUENCE (2 elem)
//     OBJECT IDENTIFIER 1.2.840.10045.2.1 ecPublicKey (ANSI X9.62 public key type)
//     OBJECT IDENTIFIER 1.2.840.10045.3.1.7 prime256v1 (ANSI X9.62 named elliptic curve)
//   BIT STRING (520 bit) 000001000101110100011010010011111101100110111101010010011001111011100...

BOOL success;

// PEM format can be loaded into a Chilkat public key object like this:

CkoStringBuilder *sbPem = [[CkoStringBuilder alloc] init];
[sbPem Append: @"-----BEGIN PUBLIC KEY-----\r\n"];
[sbPem Append: @"MFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEXRpP2b1JnuT9VSwN6m2xZmR6cZET\r\n"];
[sbPem Append: @"Y4b+ypTUR1E5Zv9D1WLe8vJBPC4/lRgtI/fnjnUZO8ZQ+9mQ9egSt7hqQw==\r\n"];
[sbPem Append: @"-----END PUBLIC KEY-----\r\n"];

CkoPublicKey *pubKey1 = [[CkoPublicKey alloc] init];
success = [pubKey1 LoadFromString: [sbPem GetAsString]];
if (success == NO) {
    NSLog(@"%@",pubKey1.LastErrorText);
    return;
}

// The X9.63 format can be loaded like this:
CkoStringBuilder *sbHex = [[CkoStringBuilder alloc] init];
[sbHex Append: @"04:5d:1a:4f:d9:bd:49:9e:e4:fd:55:2c:0d:ea:6d:"];
[sbHex Append: @"b1:66:64:7a:71:91:13:63:86:fe:ca:94:d4:47:51:"];
[sbHex Append: @"39:66:ff:43:d5:62:de:f2:f2:41:3c:2e:3f:95:18:"];
[sbHex Append: @"2d:23:f7:e7:8e:75:19:3b:c6:50:fb:d9:90:f5:e8:"];
[sbHex Append: @"12:b7:b8:6a:43"];

// Get rid of the ":" chars.
int numReplaced = [[sbHex Replace: @":" replacement: @""] intValue];

// We'll need to convert hex to base64..
CkoBinData *bdKey = [[CkoBinData alloc] init];
[bdKey AppendEncoded: [sbHex GetAsString] encoding: @"hex"];

CkoPublicKey *pubKey2 = [[CkoPublicKey alloc] init];
success = [pubKey2 LoadFromString: [bdKey GetEncoded: @"base64"]];
if (success == NO) {
    NSLog(@"%@",pubKey2.LastErrorText);
    return;
}

// Let's get the key in pubKey2 as PEM.
// It should be idential to the PEM above.
NSLog(@"%@",[pubKey2 GetPem: YES]);

// Here's the output.  You can see it's the same as the PEM above..

// -----BEGIN PUBLIC KEY-----
// MFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAEXRpP2b1JnuT9VSwN6m2xZmR6cZET
// Y4b+ypTUR1E5Zv9D1WLe8vJBPC4/lRgtI/fnjnUZO8ZQ+9mQ9egSt7hqQw==
// -----END PUBLIC KEY-----