Decryption of files that have been encrypted to a specific public key and also
to my own key, which is stored on an OpenPGP card, fails with an error:

gpg: public key decryption failed: Missing item in object

A similar problem has been reported on the gnupg-user list before, without
resolution:
https://lists.gnupg.org/pipermail/gnupg-users/2015-September/054352.html

Using other public keys as a recipient, in addition to the same on-card private
key, works.

Here is a detailed reproduction of the problem, sensitive info removed:

$ gpg2 --version
gpg (GnuPG) 2.0.26
libgcrypt 1.6.3
Copyright (C) 2013 Free Software Foundation, Inc.
License GPLv3+: GNU GPL version 3 or later http://gnu.org/licenses/gpl.html
This is free software: you are free to change and redistribute it.
There is NO WARRANTY, to the extent permitted by law.

Home: ~/.gnupg
Supported algorithms:
Pubkey: RSA, RSA, RSA, ELG, DSA
Cipher: IDEA, 3DES, CAST5, BLOWFISH, AES, AES192, AES256, TWOFISH,

CAMELLIA128, CAMELLIA192, CAMELLIA256

Hash: MD5, SHA1, RIPEMD160, SHA256, SHA384, SHA512, SHA224
Compression: Uncompressed, ZIP, ZLIB, BZIP2

My key is E1E4240C, with three subkeys:

$ gpg2 --list-secret-keys E1E4240C
sec# 4096R/0x811D6940E1E4240C 2015-07-29 [expires: 2016-07-28]

Key fingerprint = 263A 9EB0 29CF C77A 3D06  FD13 811D 6940 E1E4 240C

uid Jean-Luc Picard (Lead Developer of The Nxt
Generation) <jlp@secure.mailbox.org>
uid Jean-Luc Picard (Lead Developer of The Nxt
Generation) <jlp@mailbox.org>
uid Jean-Luc Picard (Lead Developer of The Nxt
Generation) <jlp666@yandex.ru>
ssb> 4096R/0xDAAF6B191688FE19 2015-07-29 [expires: 2016-07-28]
ssb> 4096R/0x6680CC7534D723A6 2015-07-29 [expires: 2016-07-28]
ssb> 4096R/0x4795F071203F4B56 2015-07-29 [expires: 2016-07-28]

The subkeys are available on the smart card:

$ gpg2 --card-status
Application ID ...: {removed for privacy}
Version ..........: 2.1
Manufacturer .....: ZeitControl
Serial number ....: {removed for privacy}
Name of cardholder: [not set]
Language prefs ...: en
Sex ..............: unspecified
URL of public key : [not set]
Login data .......: [not set]
Signature PIN ....: forced
Key attributes ...: 4096R 4096R 4096R
Max. PIN lengths .: 32 32 32
PIN retry counter : 3 3 3
Signature counter : 1089
Signature key ....: CC45 5265 FF23 E437 3001 74BC DAAF 6B19 1688 FE19

created ....: 2015-07-29 23:02:34

Encryption key....: 63B2 3D39 557F 903D C1C5 49F0 6680 CC75 34D7 23A6

created ....: 2015-07-29 23:04:30

Authentication key: CDB1 6EE8 7CE2 85C2 1697 D1A2 4795 F071 203F 4B56

created ....: 2015-07-29 23:06:38

General key info..: pub 4096R/0xDAAF6B191688FE19 2015-07-29 Jean-Luc Picard
(Lead Developer of The Nxt Generation) <jlp@secure.mailbox.org>
sec# 4096R/0x811D6940E1E4240C created: 2015-07-29 expires: 2016-07-28
ssb> 4096R/0xDAAF6B191688FE19 created: 2015-07-29 expires: 2016-07-28

card-no: {removed for privacy}

ssb> 4096R/0x6680CC7534D723A6 created: 2015-07-29 expires: 2016-07-28

card-no: {removed for privacy}

ssb> 4096R/0x4795F071203F4B56 created: 2015-07-29 expires: 2016-07-28

                      card-no: {removed for privacy}

These are the two public keys to which I am testing encryption in addition to my
own:

$ gpg2 --list-keys riker
pub 2048R/0x1752ECBD29712427 2016-03-11 [expires: 2026-03-09]

Key fingerprint = E3A2 681A 5FD1 58F5 D345  1746 1752 ECBD 2971 2427

uid [ full ] Riker <riker@mailbox.org>
uid [ full ] {removed for privacy} <riker@mailbox.org>
sub 2048R/0xEA5FEB25110053DD 2016-03-11 [expires: 2026-03-09]

pub 2048R/0xD30FDF6E06022130 2016-03-12 [expires: 2026-03-10]

Key fingerprint = 6ACF 480D C422 20F9 9DEC  EA53 D30F DF6E 0602 2130

uid [ full ] {removed for privacy} <riker@mailbox.org>
sub 2048R/0x22D1006BB6C92DB2 2016-03-12 [expires: 2026-03-10]

Encrypting a text file to my key and also to 29712427 works:

$ echo qwerty > a.txt
$ gpg2 -r 29712427 -r E1E4240C -o bad.gpg -e a.txt

Trying to decrypt the resulting bad.gpg file however fails:

$ gpg2 -o a1.txt -d bad.gpg
gpg: encrypted with 4096-bit RSA key, ID 0x6680CC7534D723A6, created 2015-07-29

"Jean-Luc Picard (Lead Developer of The Nxt Generation)

<jlp@secure.mailbox.org>"
gpg: public key decryption failed: Missing item in object
gpg: encrypted with 2048-bit RSA key, ID 0xEA5FEB25110053DD, created 2016-03-11

"Riker <riker@mailbox.org>"

gpg: decryption failed: No secret key

Encrypting the same text file to my key and also to 06022130 works:

$ gpg2 -r 06022130 -r E1E4240C -o good.gpg -e a.txt

And decryption of good.gpg also works:

$ gpg2 -o a2.txt -d good.gpg
gpg: encrypted with 2048-bit RSA key, ID 0x22D1006BB6C92DB2, created 2016-03-12

"{removed for privacy} <riker@mailbox.org>"

gpg: encrypted with 4096-bit RSA key, ID 0x6680CC7534D723A6, created 2015-07-29

"Jean-Luc Picard (Lead Developer of The Nxt Generation)

<jlp@secure.mailbox.org>"

$ more a2.txt
qwerty
$ more a.txt
qwerty

This is the public key with which the problem occurs:

$ gpg2 --armour --export 29712427
-----BEGIN PGP PUBLIC KEY BLOCK-----
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ZLC1

-----END PGP PUBLIC KEY BLOCK-----