Bitcoin Improvement Proposals : BIP 0066
BIP: 66 Title: Strict DER signatures Author: Pieter Wuille <[email protected]> Status: Final Type: Standards Track Created: 20150110
Table of Contents 
Abstract
This document specifies proposed changes to the Bitcoin transaction validity rules to restrict signatures to strict DER encoding.
Motivation
Bitcoin's reference implementation currently relies on OpenSSL for signature validation, which means it is implicitly defining Bitcoin's block validity rules. Unfortunately, OpenSSL is not designed for consensuscritical behaviour (it does not guarantee bugforbug compatibility between versions), and thus changes to it can  and have  affected Bitcoin software.
One specifically critical area is the encoding of signatures. Until recently, OpenSSL's releases would accept various deviations from the DER standard and accept signatures as valid. When this changed in OpenSSL 1.0.0p and 1.0.1k, it made some nodes reject the chain.
This document proposes to restrict valid signatures to exactly what is mandated by DER, to make the consensus rules not depend on OpenSSL's signature parsing. A change like this is required if implementations would want to remove all of OpenSSL from the consensus code.
Specification
Every signature passed to OP_CHECKSIG, OP_CHECKSIGVERIFY, OP_CHECKMULTISIG, or OP_CHECKMULTISIGVERIFY, to which ECDSA verification is applied, must be encoded using strict DER encoding (see further).
These operators all perform ECDSA verifications on pubkey/signature pairs, iterating from the top of the stack backwards. For each such verification, if the signature does not pass the IsValidSignatureEncoding
check below, the entire script evaluates to false immediately. If the signature is valid DER, but does not pass ECDSA verification, opcode execution continues as it used to, causing opcode execution to stop and push false on the stack (but not immediately fail the script) in some cases, which potentially skips further signatures (and thus does not subject them to IsValidSignatureEncoding
).
DER encoding reference
The following code specifies the behaviour of strict DER checking. Note that this function tests a signature byte vector which includes the 1byte sighash flag that Bitcoin adds, even though that flag falls outside of the DER specification, and is unaffected by this proposal. The function is also not called for cases where the length of sig is 0, in order to provide a simple, short and efficientlyverifiable encoding for deliberately invalid signatures.
DER is specified in http://www.itu.int/rec/TRECX.690200811I/en .
bool static IsValidSignatureEncoding(const std::vector<unsigned char> &sig) { // Format: 0x30 [totallength] 0x02 [Rlength] [R] 0x02 [Slength] [S] [sighash] // * totallength: 1byte length descriptor of everything that follows, // excluding the sighash byte. // * Rlength: 1byte length descriptor of the R value that follows. // * R: arbitrarylength bigendian encoded R value. It must use the shortest // possible encoding for a positive integers (which means no null bytes at // the start, except a single one when the next byte has its highest bit set). // * Slength: 1byte length descriptor of the S value that follows. // * S: arbitrarylength bigendian encoded S value. The same rules apply. // * sighash: 1byte value indicating what data is hashed (not part of the DER // signature) // Minimum and maximum size constraints. if (sig.size() < 9) return false; if (sig.size() > 73) return false; // A signature is of type 0x30 (compound). if (sig[0] != 0x30) return false; // Make sure the length covers the entire signature. if (sig[1] != sig.size()  3) return false; // Extract the length of the R element. unsigned int lenR = sig[3]; // Make sure the length of the S element is still inside the signature. if (5 + lenR >= sig.size()) return false; // Extract the length of the S element. unsigned int lenS = sig[5 + lenR]; // Verify that the length of the signature matches the sum of the length // of the elements. if ((size_t)(lenR + lenS + 7) != sig.size()) return false; // Check whether the R element is an integer. if (sig[2] != 0x02) return false; // Zerolength integers are not allowed for R. if (lenR == 0) return false; // Negative numbers are not allowed for R. if (sig[4] & 0x80) return false; // Null bytes at the start of R are not allowed, unless R would // otherwise be interpreted as a negative number. if (lenR > 1 && (sig[4] == 0x00) && !(sig[5] & 0x80)) return false; // Check whether the S element is an integer. if (sig[lenR + 4] != 0x02) return false; // Zerolength integers are not allowed for S. if (lenS == 0) return false; // Negative numbers are not allowed for S. if (sig[lenR + 6] & 0x80) return false; // Null bytes at the start of S are not allowed, unless S would otherwise be // interpreted as a negative number. if (lenS > 1 && (sig[lenR + 6] == 0x00) && !(sig[lenR + 7] & 0x80)) return false; return true; }
Examples
Notation: P1 and P2 are valid, serialized, public keys. S1 and S2 are valid signatures using respective keys P1 and P2. S1' and S2' are nonDER but otherwise valid signatures using those same keys. F is any invalid but DERcompliant signature (including 0, the empty string). F' is any invalid and nonDERcompliant signature.

S1' P1 CHECKSIG
fails (changed) 
S1' P1 CHECKSIG NOT
fails (unchanged) 
F P1 CHECKSIG
fails (unchanged) 
F P1 CHECKSIG NOT
can succeed (unchanged) 
F' P1 CHECKSIG
fails (unchanged) 
F' P1 CHECKSIG NOT
fails (changed) 
0 S1' S2 2 P1 P2 2 CHECKMULTISIG
fails (changed) 
0 S1' S2 2 P1 P2 2 CHECKMULTISIG NOT
fails (unchanged) 
0 F S2' 2 P1 P2 2 CHECKMULTISIG
fails (unchanged) 
0 F S2' 2 P1 P2 2 CHECKMULTISIG NOT
fails (changed) 
0 S1' F 2 P1 P2 2 CHECKMULTISIG
fails (unchanged) 
0 S1' F 2 P1 P2 2 CHECKMULTISIG NOT
can succeed (unchanged)
Deployment
We reuse the doublethreshold switchover mechanism from BIP 34, with the same thresholds, but for nVersion = 3. The new rules are in effect for every block (at height H) with nVersion = 3 and at least 750 out of 1000 blocks preceding it (with heights H1000..H1) also have nVersion = 3. Furthermore, when 950 out of the 1000 blocks preceding a block do have nVersion = 3, nVersion = 2 blocks become invalid, and all further blocks enforce the new rules.
Compatibility
The requirement to have signatures that comply strictly with DER has been enforced as a relay policy by the reference client since v0.8.0, and very few transactions violating it are being added to the chain as of January 2015. In addition, every noncompliant signature can trivially be converted into a compliant one, so there is no loss of functionality by this requirement. This proposal has the added benefit of reducing transaction malleability (see BIP 62).
Implementation
An implementation for the reference client is available at https://github.com/bitcoin/bitcoin/pull/5713
Acknowledgements
This document is extracted from the previous BIP62 proposal, which had input from various people, in particular Greg Maxwell and Peter Todd, who gave feedback about this document as well.