I can reproduce this message by adding many https repositories to sources.list. For example, with these sources (which are public, so you can try this yourself):
$ sudo rm /var/lib/apt/lists/debathena*
$ sudo apt-get update
…
W: Size of file /var/lib/apt/lists/partial/debathena.mit.edu_apt_dists_quantal_debathena_source_Sources.bz2 is not what the server reported 31194 16209
W: Size of file /var/lib/apt/lists/partial/debathena.mit.edu_apt_dists_saucy_debathena_source_Sources.bz2 is not what the server reported 31029 24393
W: Size of file /var/lib/apt/lists/partial/debathena.mit.edu_apt_dists_trusty_debathena_source_Sources.bz2 is not what the server reported 26334 16209
W: Size of file /var/lib/apt/lists/partial/debathena.mit.edu_apt_dists_utopic_debathena_source_Sources.bz2 is not what the server reported 26237 16209
W: Size of file /var/lib/apt/lists/partial/debathena.mit.edu_apt_dists_vivid_debathena_source_Sources.bz2 is not what the server reported 14 251
This does not happen with the same repositories over plain http.
I can reproduce this message by adding many https repositories to sources.list. For example, with these sources (which are public, so you can try this yourself):
deb https:/ /debathena. mit.edu/ apt precise debathena /debathena. mit.edu/ apt precise debathena /debathena. mit.edu/ apt quantal debathena /debathena. mit.edu/ apt quantal debathena /debathena. mit.edu/ apt raring debathena /debathena. mit.edu/ apt raring debathena /debathena. mit.edu/ apt saucy debathena /debathena. mit.edu/ apt saucy debathena /debathena. mit.edu/ apt trusty debathena /debathena. mit.edu/ apt trusty debathena /debathena. mit.edu/ apt utopic debathena /debathena. mit.edu/ apt utopic debathena /debathena. mit.edu/ apt vivid debathena /debathena. mit.edu/ apt vivid debathena
deb-src https:/
deb https:/
deb-src https:/
deb https:/
deb-src https:/
deb https:/
deb-src https:/
deb https:/
deb-src https:/
deb https:/
deb-src https:/
deb https:/
deb-src https:/
I get:
$ sudo rm /var/lib/ apt/lists/ debathena* apt/lists/ partial/ debathena. mit.edu_ apt_dists_ quantal_ debathena_ source_ Sources. bz2 is not what the server reported 31194 16209 apt/lists/ partial/ debathena. mit.edu_ apt_dists_ saucy_debathena _source_ Sources. bz2 is not what the server reported 31029 24393 apt/lists/ partial/ debathena. mit.edu_ apt_dists_ trusty_ debathena_ source_ Sources. bz2 is not what the server reported 26334 16209 apt/lists/ partial/ debathena. mit.edu_ apt_dists_ utopic_ debathena_ source_ Sources. bz2 is not what the server reported 26237 16209 apt/lists/ partial/ debathena. mit.edu_ apt_dists_ vivid_debathena _source_ Sources. bz2 is not what the server reported 14 251
$ sudo apt-get update
…
W: Size of file /var/lib/
W: Size of file /var/lib/
W: Size of file /var/lib/
W: Size of file /var/lib/
W: Size of file /var/lib/
This does not happen with the same repositories over plain http.