Nit: redundant leading 00 (or FF) in an INTEGER is VALID *B*ER
but INVALID *D*ER. And signed things like certs are *D*ER
for exactly this reason, so a reconstructed encoding is
bit for bit identical and hashes and signatures etc. work.
BER is already 'distinguished" concerning the content octets of an
INTEGER.

X.690:

8 Basic encoding rules

...

8.3 Encoding of an integer value
8.3.1 The encoding of an integer value shall be primitive. The contents octets shall consist of one or more octets. 8.3.2 If the contents octets of an integer value encoding consist of more than one octet, then the bits of the first octet
and bit 8 of the second octet:
a) shall not all be ones; and
b) shall not all be zero.
NOTE – These rules ensure that an integer value is always encoded in the smallest possible number of octets. 8.3.3 The contents octets shall be a two's complement binary number equal to the integer value, and consisting of bits 8 to 1 of the first octet, followed by bits 8 to 1 of the second octet, followed by bits 8 to 1 of each octet in turn up to
and including the last octet of the contents octets.
NOTE – The value of a two's complement binary number is derived by numbering the bits in the contents octets, starting with bit 1 of the last octet as bit zero and ending the numbering with bit 8 of the first octet. Each bit is assigned a numerical value of 2N,where N is its position in the above numbering sequence. The value of the two's complement binary number is obtained by summing the numerical values assigned to each bit for those bits which are set to one, excluding bit 8 of the first octet, and then reducing this value by the numerical value assigned to bit 8 of the first octet if that bit is set to one.

Chapter 10 and 11 don't say anything about INTEGER.

The length field in definite encoding may have redundant zeros though in BER

DER:
10.1 Length forms
The definite form of length encoding shall be used, encoded in the minimum number of octets. [Contrast
with 8.1.3.2 b).]




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