id author title date pages extension mime words sentence flesch summary cache txt w6634170r13 Ryan Durward Hutchinson Generic Properties of Convolutional Codes 2006 .txt text/plain 225 8 33 More specifically, ideas from linear systems theory and algebraic geometry are used to 1. give an affirmative answer to the conjecture in~cite{gl03r} that convolutional codes possessing both the MDP and sMDS properties exist for arbitrary code parameters over finite fields of every prime characteristic and 2. show that the set of such codes may be seen as a generic set in a certain Quot scheme. In this dissertation, convolutional codes possessing the maximum distance profile (MDP) and strongly maximum distance separable (sMDS) properties are studied. cache/w6634170r13.txt txt/w6634170r13.txt