The DF21C MRBM according to US source is road mobile, solid
propellan TBM similar to US Pershing II MRBM. The Pershing II
MRBNs CEP is less than 50M, and the deck length of A Nimitz grade
Aircraft carrier is 176M
http://www.uscc.gov/researchpapers/2000_2003/pdfs/strat.pdf
...
Mark Stokes has identified articles about a conventionally armed
variant of the DF-21 the 21C -- has been under development since
at least 1995. This system may adopt a terminal guidance package
that uses on board computers to correlate stored images with
landmarks that theoretically could achieve a CEP of 50 meters or
better.26 Such a capability naturally would require maneuverable
re-entry vehicle. The reentry speed of the DF-21C is likely to be
fast enough to preclude engagement by lower-tier missile defense
systems, such as the PAC-3. Equipped with a conventional warhead as
large as 1500 kilograms, the DF-21C could force defenders such as
Taiwan to move toward upper tier, mid-course engagement solutions,
such as the Theater High Altitude Area Defense (THAAD) and Navy
Theater Wide (NTW) systems. As many as two conventional DF-21
brigades could be in operation before 2010...
Its a misunderstanding that the anti-ship Derivates of DF21C
TBM must directly hit the Aircraft carrier then will delivery the
necessary damage. On the contrary, its warhead will probably not
work in the way as most sea-skimming cruise missiles do. The
re-entry vehicle can carry an EMP warhead that destroys all the
electronic sensors like Aegis Radars/Antenna/ communication
equipments in the scene while kills no mortal life, in this
scenario, 1 DF21C ( Hmmm, no 30-50 requested)will delivery enough
damage to the battle group that disable it in front of follow on
kills by traditional anti-ship cruise missiles. It also can carry
the cluster of small bombs or just solid articles in huge amount
that rely on the kinetic energy to penetrate the deck of the
aircraft carrier so as that the fighter jets couldnt be launched
from the mothership. In this way, the PLA could possibly comprise
the previous invincible ability of the CVGs while without sinking
its core assertthe aircraft carrier and minimize the casualty of
the US personnel which could trigger the war upgrading if the US
symbolthe Aircraft carrier had been sunk and heavy US personnel
casualty occurred.